bcb math practice - banking career in bangladesh – … · md. mahmudul haque ullash rajshahi...

BANKING CAREER IN BANGLADESH

BCB MATH PRACTICECoordinated By Hemal Jamiul Hasan

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Banking Career In Bangladesh ǁ BCB Math PracticeCoordinated By Hemal Jamiul Hasan

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The Honorable Contributors:

Mou Shaila Dhaka University

Hemal Jamiul Hasan Rajshahi University

Md. Jahangir Alam Raju International Islamic University, Chittagong

Md. Sadi Hasan Joy Dhaka University

Mita Pariyal National University (Chittagong College)

Lutfur Rahman Limon Z H Sikder University Of Science & Technology

Md. Jahangir Alam Dolar Rajshahi University

Farhana Yeasmin Chittagong University

Md. Jahirul Islam Rubel National University (Titumir College)

Monzur Hossain Rony Dhaka University

Md. Saiful Islam American International University, Bangladesh

Saifuddin Saif Islamic University, Kustia

Nafisha Nazneen Haque National University

Masoom Pervez Jagannath University

Nazmul Hasan Dhaka University

Md. Abul Kalam Azad Khulna University

Md. Al Imran Rajshahi University

Zubair Hassan Shetu Khulna University Of Engineering & Technology

Md. Azmal Hossain Shimul Dhaka University

Tanvir Islam Miran Primeasia University

Md. Ziaur Rahman National University

Mujiba Shaima Simi Jahangirnagar University

Rakesh Saha Eastern University

Hazrat Ali Jagannath University

Md. Mahmudul Haque Ullash Rajshahi University

Mahbub Enam Rajshahi University

Nasrin Akter Dhaka University

Md. Tafsir Ahamed Khan National University

Mohammad Mostofa Rashed National University (Chittagong Govt. Commerce College)

Bondhon Rajshahi University

Monjur Morshed National University (Mohosin College)

Nazmun Nahar Dhaka University

Md. Masudur Rahman Kajol Khulna University

Tasnim Yasmin Rajshahi University

Imam Hossen Imon Chittagong University

Md. Rishaduzzaman Biswas Chittagong University

Najifa Jinia Jahangirnagar University

Iqbal Hossen National University

Krishna Dhar Chittagong University

Aminul Islam Jatiya Kabi Kazi Nazrul Islam University

Bishwarup Chakravarty National University (Azam Khan Govt. Commerce College, Khulna)

Ifrad Uddin Thakur East West University

Shauradip Mazumder Dhaka University

Abdur Razzaque Jahangirnagar University

Md. Rafiad Islam Rafi American International University, Bangladesh

Remon Farhana National University (City College)

Md. Joynal Abidin Joy Comilla University

Harun Ur Rashid Jagannath University

Ahammed Faisal Djuice North South University

Debabrata Chowdhury Comilla University



BCB Day 1

1. The speed of a railway engine is 42 km per hour when no compartment is attached, and thereduction in speed is directly proportional to the square root of the number of compartmentsattached. If the speed of the train carried by this engine is 24 km per hour when 9 compartmentsare attached, what is the maximum number of compartments that can be carried by the engine?

2. Mr. Karim deposited a certain amount of money for a fixed period of time. On maturity, hereceived a total of Tk. 45000 when the ratio of interest and investment became 2:5. If theinterest rate was 3.6%, calculate the time period for which the money was invested.

3. A man and a boy can finish a work by 8 days. 2 men and 4 boys can finish this work by 3 days.How many days need for a boy to finish this work?

4. Two alloys A and B are composed of two basic elements. The ratios of the compositions of thetwo basic elements in the two alloys are 5:3 and 1:2, respectively. A new alloy X is formed bymixing the two alloys A and B in the ratio 4:3. What is the ratio of the composition of thetwo basic elements in alloy X?

5. After being dropped a certain ball always bounces back to 2/5 of the height of its previousbounce. After the first bounce it reaches a height of 125 inches. How high (in inches) will itreach after its fourth bounce?

6. A car’s average speed is 25 miles per gallon of gasoline when driven in the city and 40 milesper gallon when driven on the highway. According to these rates, which is closest to the numberof miles per gallon that the car’s average speed when it is driven 10 miles in the city andthen 50 miles on the highway?

7. Aman started a business investing TK. 70,000. Rakhi joined him after six months with an amountof TK. 1,05,000 and Sagar joined them with TK. 1,40,000 after another six months. The amountof profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively,3 years after Aman started the business?

8. A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less andsold it for Tk. 55 more, he would have made a profit of 40%. What was cost of article?

9. A team of 3 men and 5 women completed one-fourth of the job in 3 days. After 3 days, anotherman joined and they took 2 days to complete another one-fourth of job. How many men can completethe whole job in 5 days?

10. A school has raised 75% of the amount it needs for a new building by receiving an averagedonation of TK.60 from the people already solicited. The people already solicited represent60% of the people the college will ask for donations. If the college is to raise exactly theamount needed for the new building, how much must the remaining people donate per person?

11. A train which travels at a uniform speed due to some mechanical fault after traveling for anhour goes at 3/5th of the original speed and reached the destination 2 hours late. If the faulthad occurred after travelling another 50 miles, the train would have reached 40 minutes earlier.What is the distance between the two stations?

12. The volume of a wall 5 times as high as it is broad & 8 times as long as it is high, is 12.8cubic meteTK. The breadth (in cm) of the wall is?

13. In what ratio must a person mix three kinds of tea costing tk.60/kg, tk.75/kg & tk.100/kg sothat the resultant mixture when sold at tk.96/kg yields a profit of 20%?

14. A boat sails M miles upstream at the rate of R miles per hour. If the rate of the stream is Smiles per hour. How long will it take the boat to return to its starting point?

15. The sum of two numbers is 15 and sum of their squares is 113.The numbers are?16. A dishonest business man makes a profit of 10% both buying and selling of a commodity. If his

profit is Tk.1050, what is the cost of the commodity?

17. A worker buys some shirts and some ties. Shirts cost Tk.70 each and ties cost Tk.30 each. Ifthe man spends exactly Tk.810 and buys the maximum number of shirts possible under theseconditions, what is the ratio of shirts to ties?

18. A company has issued 2,00,000 ordinary shares of Tk.10 each and 50,000 debentures of Tk.100each. The debenture interest of 10% per annum. In one years, after paying the interest of 9%



on the debentures and 9% dividend on the ordinary shares. Its profit are just sufficient toput Tk.2,00,000 to reserve. What are the profits for that year?

19. One–fifth of the products made by a company is defective. Four-fifth of the defectives arerejected and 1/20 of the good products are rejected by mistake. If all the products not rejectedare sold, what percent of the products sold by the company defective?

20. A bank has a parking plot of 70 parking spaces. Each row in the parking lot contains the samenumber of parking spaces. The bank has purchased additional land for expansion of the officespace. When the expansion is made, two parking spaces will be lost from each row; however, 4more rows will be added to the parking lot. After the expansion is made, the capacity of theparking lot will remain the same and each row will contain the same number of parking spaces.How many rows were there in the parking lot before expansion was made?

21. A computer company offered to sell a city agency new machine at a 15% discount from the pricelist and to allow the agency Tk.8500 for each of two old computers being traded in the listprice of the new machine is Tk.62500. If the agency accepts the offer, how much money will ithave to pay for the 4 new machines?

22. In a group of account holders 40% of the account holders are businessman and the remainingaccount holders are service and half are female. If 10% account holders are businessman andmale and 40% account holders are service-holder and female, how many of the account holdersare businessman and female?

23. In a 100m race, Sam beats John by 4 seconds. On the contrary, if Sam allowed John to start 16mahead of Sam, then Sam and John reach the finishing point at the same time. How long does Samtake to run the 100m race?

24. A man cheats while buying as well as while selling. While buying him takes 10 % more than whathe pays for and while selling he gives 20 % less than what he claims to. Find the profitpercent, if he sells at 09.09 % below the cost price of the claimed weight.

25. In a bag 6 identical green marbles, 4 identical blue marbles, and 2 identical red marbles. Ifthe marbles are picked at random from the twelve in the bag, how many distinct sets of threecan be selected.

26. Given 2E +2F=6G, 2E-2F=2G, and F-G=0, How many unique solution are there for G?27. In a room filled with 7 people, 4 people have exactly 1 sibling in the room and 3 people have

exactly 2 siblings in the room. If two individuals are selected from the room at random, whatis the probability that those two individuals are NOT siblings?

28. The interest charged on a loan is p per tk.1000 for the first quarter (three months) and q pertk. 1000 for each month after the first quarter. How much interest will be charged for thefirst year on tk. 10000?

29. During transportation 5% merchandise was stolen and another 5% was damaged. At what profit (inpercentage) should the goods be sold so as to make an overall profit of 20%?

30. A jar contains marbles of 4 different coloTK. The number of blue marbles is three times as manyas the yellow ones. The number of red marbles is half that of the yellow ones. The number oforange marbles is equal to the number of red ones. What percent of the marbles are orangecolored?

31. The average price of a new car increased by 20% from 1990 to 1995 and again increased by 20%from 1995 to 2000. If the average price of a new car was tk. 450000 in 1995, what is thedifference in average price of a car between year 1990 and 2000?

32. Fresh grapes contain 90% water by weight while dread grapes contain 20% water by weight. Whatis the weight of dry grapes available from 20 kg of fresh grapes?

33. A, B and C can do a piece of work in 16, 32 and 48 days respectively. They started workingtogether but C left after working 4 days and B, 2 days before the completion of work. How manydays it took to complete the work?

34. Rina and Shila entered into a partnership with their capitals in the ratio 5:6. At the end of8 months, Rina withdraws her capital. If they receive the profit in the ratio of 5:6. At theend of 8 months, Rina withdraws her capital. If they receive the profit in the ratio of 5:9,find how long shila’s capital was used?

35. A train overtakes two persons walking along a railway track. The first one walks at 4.5 km/hr.The other one walks at 5.4 km/hr. The train needs 8.4 and 8.5 seconds respectively to overtake



them. What is the speed of the train if both the persons are walking in the same direction asthe train?

BCB Day 2

1. Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes, and 10minutes respectively. When the tank is empty, all the three pipes are opened. A, B and Cdischarge chemical solutions P, Q and R respectively. What is the proportion of the solution Rin the liquid in the tank after 3 minutes?

2. A man standing at a point P is watching the top of a tower, which makes an angle of elevationof 30º with the man's eye. The man walks some distance towards the tower to watch its top andthe angle of the elevation becomes 60º. What is the distance between the base of the tower andthe point P?

3. Gauri went to the stationers and bought things worth TK. 25, out of which 30 paisa went onsales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax freeitems?

4. A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners,a square is cut off so as to make an open box. If the length of the square is 8 what is thevolume of the box (in m3)?

5. Two trains, one from P to Q and the other from Q to P, start simultaneously. After they meet,the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of theirspeeds is

6. A train having a length of 1/4 mile, is traveling at a speed of 75 mph. It enters a tunnel 3 ½miles long. How long does it take the train to pass through the tunnel from the moment thefront enters to the moment the rear emerges?

7. At a college football game, 4/5 of the seats in the lower deck of the stadium were sold. Ifone fourth of all the seating in the stadium is located in the lower deck and if 2/3 of allthe seats in the stadium were sold, what fraction of the unsold seats in the stadium was inthe lower deck?

8. A departments store receives a shipment of 1000 shirts, for which it pays tk 9000. The storesells the shirts at a price 80% above the cost for one month, after which it reduces the priceof the shirts to 20% above the cost. The sore sells 75% of the shirts during first month and50% of the remaining shirts afterward. How much gross income did sales of the shirts generate?

9. The distance between two stations, Dhaka and Chittagong is 450km.A train stars at 5 pm fromDhaka and moves towards Chittagong at an average speed of 60km/hr. Another train starts fromChittagong at 4.20 pm and moves toward Dhaka at an average speed of 80km/hr. At what time willthe two trains meet?

10. In a garden, there are 10 rows and 12 columns of trees. The distance between any two trees is2m and a distance of 1m is left from all sides of the boundary of the garden. What is thelength of the garden?

11. In a cricket match, five batsman A,B, C,D and E scored an average of 36 runs .D scored 5 morethan E; E scored 8 fewer than A; B scored as many as B and E combined and B and C jointlyscored 107. How many runs did E score?

12. At a dinner party every two guests shared a bowl of rice between them, every three guestsshared a bowl of vegetable between them and every four shared a bowl of meat between them.There were altogether 65 bowls. How many guests were present at the party?

13. A farmer built a fence around his square plot .He used 27 fence poles on each side of thesquare .How many poles did he need altogether?

14. In a family, each daughter has the same number of brothers as she has sisters and each son hastwice as many sisters as he has brotheTK. How many sons are there in the family?

15. A cube of side 5 cm is painted on all its side. If it is sliced into 1 cubic centimeter cubes.How much additional ground will have exactly one of their sides painted?

16. A car averages 25 miles per gallon of gasoline when driven in the city and 40 miles per gallonwhen driven on the high way .According to these rates, what would be the closest to the number



of miles per gallon that the car averages when it is driven 10 miles in the city and the 50miles on the highway?

17. What is the radius of the in-circle of the triangle whose side measures 5, 12 and 13units?

18. Marium has n chocolates, where n is an integer such that 20 < < 50 .If Marium divides thechocolates equally among 5 children, she will have 2 chocolates remaining. If she divides thechocolates among 6 children, she will have 1 chocolates remaining. How many chocolates willremain if she divides chocolates among 7 children?

19. Mr. Ali decided to walk down the escalator of a tube station. He found that if he walks down26 steps, he requires 30 seconds to reach the bottom. However, if he steps down 34 stairs hewould only require 18 seconds to get the bottom. If the time is measured from the moment thetop steps begins to descend to the time he steps off the last step at the bottom, find out theheight of the stair way in steps?

20. The elevator in an eleven-storied building travels at the rate of one floor per ¼ minute, whichallows time for picking up and letting down passengers at the main floor and at the top floorthe operators stops for 1 minute. How many complete (with return) trips will the operator makeduring 7 hour period?

21. Among120 students of a class, numbered 1 to 120, all even numbered students opt for bangla,whose numbers are divisible by 5 opt for English and those numbers are divisible by 7 opt formath. How many opt for none of these 3 subjects?

22. A railway half ticket cost half the full fare and the reservation charge is the same on halfticket as on ticket. One reserved first class ticket from Jessore to Rajshahi costs Tk. 216and one full and one half reserved first class tickets cost Tk. 327. What is the casic firstclass full fare and what is the reservation charge?

23. During the next tree plantation week, MTB is considering planting trees in one of its ownrectangular piece of land which is 90 feet long 66 feet wide. This is suspended by boundarywall of 5 feet height. It was been decide that the distance from one tree to another in bothrow and column will be 4 feet. What is the maximum numbers of trees that can be planted in theland?

24. Before budget, a businessman had increased the price of his product by 12%. In the budget, a10% sales tax (to be paid by seller) was imposed on that product. As a result, the profitultimately increased by tk 64. What was the original selling price?

25. A father said to his son,” I was as old as you are at present at the time of your birth”. Ifthe father’s age is 36 years now, the son’s age five years back was?

26. In a group of students, 80% of the students weight less than 60 kg and a total of 32 studentsweight less than 50 kg. If 60% of the students weight at least 50 kg, how many of the studentsweight at least 50kg but less than 60 kg?

27. The number of flights leaving a certain airport doubles during every one hour period betweenits 9 am opening and noon; after noon, the number of flights leaving from the airport doublesduring every two hour period if 4 flights left from the airport between 9 am and 10 am, howmany flights left airport between 2 pm and 4 pm?

28. During a special promotion, a certain filling station is offering a 10% discount on gaspurchased after 10 gallons. If Kim purchased 20 gallons of gas, and Zeni purchased 25 gallonsof gas, the Zeni’s total per gallon discount is what percent of Kim’s total per gallon discount?

29. A machine P can print one lakh books in 8 hours; machine Q can print the same number of booksin 10 hours while machine R can print them in 12 houTK. All the machines are started at 9 A.M.while machine P is closed at 11 A.M. and the remaining two machines complete work. Approximatelyat what time will the work (to print one lakh books) be finished?

30. A jogger running at 9 kmph alongside a railway track in 240 meters ahead of the engine of a120 meters long train running at 45 kmph in the same direction. In how much time will the trainpass the jogger?

31. A train overtakes two persons walking along a railway track. The first one walks at 4.5 km/hr.The other one walks at 5.4 km/hr. The train needs 8.4 and 8.5 seconds respectively to overtakethem. What is the speed of the train if both the persons are walking in the same direction asthe train?



32. A train can travel 50% faster than a car. Both start from point A at the same time and reachpoint B 75 kms away from A at the same time. On the way, however, the train lost about 12.5minutes while stopping at the stations. What is the speed of the car?

33. A sum of tk. 725 is lent in the beginning of a year at a certain rate of interest. After 8months, a sum of tk. 362.50 more is lent but at the rate twice the former. At the end of theyear, tk. 33.50 is earned as interest from both the loans. What was the original rate ofinterest?

34. Ayesha's father was 38 years of age when she was born while her mother was 36 years old whenher brother four years younger to her was born. What is the difference between the ages of herparents?

35. Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m.and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards Aata speed of 25 kmph. At what time will they meet?

BCB Day 3

1. The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 yearsolder. If the ages of these two are excluded, the average age of the remaining players is oneyear less than the average age of the whole team. What is the average age of the team?

2. A, B and C jointly thought of engaging themselves in a business venture. It was agreed that Awould invest tk. 6500 for 6 months, B tk. 8400 for 5 months and C tk. 10,000 for 3 months. Awants to be the working member for which, he was to receive 5% of the profits. The profitearned was tk. 7400. Calculate the share of B in the profit.

3. The sum of three numbers is 68. If the ratio between first and second be 2:3 and that betweensecond and third be 5:3, then the second number is?

4. If the first 200 numbers are written down and those divisible by 2 are deleted and again thosedivisible by 5 are deleted, how many numbers are left out?

5. One year ago the ratio between Zeshan’s and Jabeer’s salary was 3:4. The ratios of theirindividual salaries between last year’s and this year’s salaries are 4:5 and 2:3 respectively.At present the total of their salary is Tk. 4290. The salary of Zeshan and Jabeer now are?

6. Gold is 19 times as heavy as water and copper 9 times as heavy as water. The ratio in whichthese two metals be mixed so that the mixture is 15 times as heavy as water is?

7. Drum X is 1/2 full of oil and drum Y which is twice the capacity of drum X, is 2/3 full of oil.If all the oil in drum X is poured into drum Y, then drum Y will be filled to what fraction ofits capacity?

8. 16 ounches of fresh orange juice has 216 calories & 16 ounches of fresh grapefruit juice has174 calories. If an 8 ounch mixture of these 2 juices contains 94 calories, what fraction ofthe mixture is orange juice?

9. A train which travels at a uniform speed due to some mechanical fault after travelling for anhour goes at 3/5th of the original speed and reached the destination 2 hours late. If the faultoccurred after travelling another 50 km, the train would have reached 40 minutes earlier. Whatis the distance between the two stations?

10. A room is 12 ft long, 8 ft wide and 10 ft high. Find the cost of white washing the four wallsof the room, leaving out two doors of the room, leaving out two doors each measuring 6 ft highand 4 ft wide and four windows each measuring 5 ft high and 3 ft wide, if the rate is tk 20per sq ft?

11. In a class of 60 students, the number of boys and girls participating in the annual sports isin the ratio 3:2 respectively. The number of girls not participating in the sports is 5 morethan the number of boys not participating in the sports. If the number of boys participatingin the sports is 15, then how many girls are there in the class?

12. The price of a shirt and a trouser is Tk.525. If the prices of a shirt and a trouser areincreased by 5% and 10% respectively, then to buy those it costs Tk.568.75. What is the costprice of each of a shirt and a trouser?

13. City B is 5 miles east of city A. City C is 10 miles southeast of city B. What is the closestdistance from city A to city C?



14. In an examination 30% candidates passed in computer science. Among the candidates who couldnot pass, 12 candidates had participated in a computer science course and 30 candidates hadnot participated in that course. How many candidates took part in the examination?

15. A shopkeeper lost 7.5% by selling an article. If he had bought it at 10% less and sold it forTk.31 more, he would have gained 20%. Find the cost price of the article.

16. The house hold expenses of a family went up by 20%. By how many percent must the family reducehousehold expenditure so that expenses remain same as before?

17. A cube of side 5cm is painted on all its sides. If it is sliced into 1 cubic centimeter cubes,how many 1 cubic centimeter cubes will have exactly one of their sides painted?

18. The area of an equilateral triangle is 50 cm2. Calculate the length of a side of the triangle.

19. The length of a pool is 60m and its breadth is 40m. If the width of the bank of the pool is3m, then what is the area of the bank of the pool?

20. Mr. Muhammad Shariful Alam employed 50 workers to finish a work within 30 days. After 20 dayshe found out that only 50% of the work had been completed. How many additional workers willMr. Alam need to finish the work in time?

21. If the circumference of a circle is increased by 50%, its area will be increased by what perpercentage?

22. A wire 2m in length is cut into two pieces by which a square and a circle can be formed so thatthe circle may pass through the corners of the square. Find the radius of the circle.

23. The length, breadth and height of a rectangular copper solid are 11m, 10m and 5m respectively.It is melted and re-casted into a number of spheres of diameter 50cm. Find the number ofspheres.

24. A man is standing on a railway bridge which is 180m long. He finds that a train crosses thebridge in 20 seconds and crosses him in 8 seconds. Find the length of the train and its speed.

25. Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50years, what is definitely the difference between R and Q’s age?

26. Two trains of the same length running in opposite directions cross a man standing on theplatform in 27 seconds and 17 seconds respectively and he cross each other in 23 seconds. Whatis the ratio of their speeds?

27. A 19 liter mixture consists by volume of 1 part juice to 18 parts water. If z liters of juiceand y liters of water are added to this mixture to make a 54 liter mixture consisting by volumeof 1 part juice to 2 parts water, then what is the value of x?

28. If Tk.45000 was invested in the share market when the price per share was Tk. 90 and Tk. 30000was invested when the price per share was Tk. 100, what was the average price per sharepurchased?

29. In a group consisting of 40 people, 24 were female and the rest were male. Half of the memberswere smokers and the rest were non-smokeTK. If one-third of the female member were smokers,how many of the male members were non-smokers?

30. Two cars started from the same point and traveled in opposite directions. After 2 hours oftraveling, the cars were 208 miles apart on a straight line. If the average speed of one carwas 8 miles more than the other, calculate the average speed of each.

31. Two tanks X and Y are filled to capacity with fuel. Tank X holds 600 gallons more than tank Y.If 100 gallons of fuel were to be pumped from each tank, tank X would contain 3 times as muchfuel as tank Y. What is the capacity of each of the fuel tanks?

32. The average weight of 3 men A, B, C is 84 kg. Another man D joins the group and the averagenow becomes 80 kg. If another man E, whose weight is 3 kg more than that of D, replaces A thenthe average weight of B, C, D and E becomes 79 kg. Find out the weight of A?

33. Maria got married 6 years ago. Today her age is 1¼ times her age at the time of marriage. Herson’s age is 1/10 times her age. Find out her son’s age.

34. A reduction of 21% in the price of wheat enables a person to buy 10.5 kg more for Tk 100. Whatis the reduced price per kg?

35. In an organization 30% of all employees live over 10miles away from the place of work & 60% ofworker who live who live over 10miles use company transport. If 40% of employees of the companyuse company transport, what percent of the employees live 10miles or less from work and usecompany transport?



BCB Day 4

1. A trader marks his goods at such a price that after allowing a discount of 150%, he makes aprofit of 20%. Find the marked price of an article, which costs him Tk. 850.

2. A manager has a budget of Tk 60000 for giving salary increment of 4 full-time and 2 part timeemployees. Each of the full time employees receives the same increment, which is twice theincrement that each of the part time employees receive. What is the amount of the incrementthat each full-time employee receives?

3. A ferry can travel twice as fast when empty as when it is full. It travels 20 miles with fullload spends 1 hour for unloading and returns to its original port empty. It takes 11 hours tocomplete the journey. What is the speed when the ferry was empty?

4. Arif and Mukul start running at the same time and from the same point aroung a circle of 216meters circumference. If Arif can complete one round in 40 seconds and Mukul in 50 seconds,how many seconds will it be before they both reach the starting point simultaneously and howmany rounds they will complete by this time?

5. A man travels from A to B at a speed of x km/hr. He then rests at B for x houTK. He then travelsfrom B to C at a speed of 2x km/hr and rests for 2x houTK. He moves further to D at a speedtwice as that between B and C. He thus reaches D in 16 hr. If distances A-B, B-C, C-D are allequal to 12 km, then find the time for which he rested at B.

6. A salesman’s commission is 5% on all sales upto TK. 10,000 and 4% on all sales exceeding this.He remits TK. 31,100 to his parent company after deducting his commission .Find total sales?

7. In a class of 40 students, the number of students who passed the math exam is equal to halfthe students who passed the science exam. Each students in the class passed at least one ofthe two exams, if 5 students passed in both exam. Then how many students passed in math exam?

8. Ramesh travels 600 km to reach home partly by train and rest by car. He takes 8 hours if hetravels 120 km by train and rest by car. But he would take 20 minute more if he travels 200 kmby train and the rest by car. Find the speeds of train and car.

9. Point A is 10 miles West of Point B. Point B is 30 miles North of Point C. Point C is 20 milesEast of Point D. What is the distance between points A and D?

10. An old man distributed all the gold coins he had to his two sons into two different numberssuch that the difference between the squares of the two numbers is 36 times the differencebetween the two numbeTK. How many coins did the old man have?

11. Two people start jogging at the same point and time but in opposite directions. If the rate ofone jogger is 2 mph faster than the other and after 3 hours they are 30 miles apart, what isthe rate of the faster jogger?

12. Scott starts jogging from point X to point Y. A half-hour later his friend Garrett who jogs1mile per hour slower than twice Scott’s rate starts from the same point and follows the samepath. If Garrett overtakes Scott in 2 hours, how many miles will Garrett have covered?

13. If b is one-fourth of a, then what is the value of (a +b)/√ab?14. When n is divided by 6, the remainder is 3, and the quotient is q. 3n+2 is divided by 6,the

remainder is 5, and the quotient in terms of q, is

15. A popular website requires users to create a password consisting of digits only. If no digitmay be replaced and each password must be at least 9 digit long, how many passwords arepossible?

16. In the figure above, a square is inscribed in a circle and another circle is inscribed in thesquare. If the area of the smaller circle is π,what is the area of the larger circle?

17. Shauradip travels 600km to reach his home partly by train and the car. He traveled 120km bytrain and the rest by car taking totaled 8 hours to reach. If he had traveled 200km by trainhe would have taken 20 minutes more. What's the speed of the train and the car respectively?

18. How many circles, each with a 4-inch radius, can be cut from a rectangular sheet of paper,measuring 16 inches x 24 inches?

19. a,b,c,d and e are integers; M is their average, and S is their sum. What is the ratio of S toM?



20. If x is an even number, what is the difference between the smallest even number greater than(5x+6) and the largest even number less than (3x+9)?

21. What is the radius of the in-circle of the triangle whose sides measure 5, 12, and 13 units?

22. At 1 PM, ship A leaves port heading due west at 20 miles per hour. Two hours later, ship B is100 miles due south of the same port and heading due north at 25 miles per hour. At 5 PM, howfar apart are the ships?

23. Diba has a wheat business. She purchases wheat from a local wholesaler at a particular costper pound. The price of the wheat at her stores is Tk 3 per pound. Her faulty spring balancereads 0.9 pound for a pound. Also in the festival season, she gives a 10% discount on thewheat. She found that she made neither a profit nor a loss in the festival season. At whatprice did Diba purchase the wheat from the wholesaler?

24. A survey of n people in the town of Eros found that 50% of them prefer brand A. Another surveyof 100 people in the town of Angie found that 60% prefer brand A. In total, 55% of all thepeople surveyed together prefer brand A. What is the total number of people surveyed?

25. There are 58 balls in a jar. Each ball is painted with at least one of two colors, red orgreen. It is observed that 2/7 of the ball that have red color also have green color, while3/7 of the balls that have green color also have red color. What is the probability that a ballrandomly picked from the jar will have both red and green colors?

26. A new word is to be formed by randomly rearranging the letters of the word ALGEBRA. What isthe probability is the new word has consonants occupying only the positions currently occupiedby consonants in the word ALGEBRA?

27. You are planning to deposit Tk. 12500 (the principal) in a bank account at the beginning ofthe year. The interest rate per annum is 8.5%. You are taxed 25% each year on your interestincome, not on the principal amount. The remainder of your interest income earns furtherinterest over the next year, and well as the principal. What will be your total income at theend of 3 years?

28. An article sold at 20% profit, its cost price is increased by Tk 50 and at the same time ifits selling price is also increased by Tk 30, the percentage of profit decreases by 10/3%. Findthe cost price.

29. In a flight 600 km, an aircraft was slowed down due to bad weather, its average speed for thetrip was reduced by 200 km/hr and the time of flight increased by 30 minutes. Find out theduration of the flight.

30. A machine P can print one lakh books in 8 hours, machine Q can print the same number of booksin 10 hours while machine R can print them in 12 houTK. All the machines are started at 9 A.Mwhile machine P is closed at 11 AM. And the remaining two machines complete work. Approximatelyat what time will the work (to print one lakh books) be finished?

31. A, B, C can do a piece of work in 16, 32, 48 days, respectively. They started working togetherbut C left after working 4 days, respectively. They started working together but C left afterworking 4 days and B 2 days before the completion of work. How many days it took to completethe work?

32. A, B and C can do a piece of work in 20, 30, 60 days respectively. In how many days can A dothe work if he is assisted by B and C on every third day?

33. A room is 12 feet long, 8 feet wide and 10 feet high. Find the cost of white washing the fourwalls inside the room, leaving out two doors each measuring 7 feet high and 4 feet wide andfour windows each measuring 4 feet high and 3 feet wide if the rate is Tk. 12 per square feet.

34. A man is standing on a railway bridge which is 180 meters long. He finds that a train crossesthe bridge in 20 seconds and crosses him in 8 seconds. Find the length of the train and itsspeed.

35. Price of sugar increases by 32%. A family reduces its consumption so that the expenditure ofthe sugar is up by 10% only. If the total consumption of sugar before the price rise was 10kgper month, then the consumption of sugar per month at present is?



BCB Day 5

1. A computer company offered to sell a city agency new machines at a 15% discount from the pricelist, and to allow the agency Tk. 8500 for each of two old computers being traded in the listprice of the new machine is Tk. 62500. If the agency accepts the offer, how much money will ithave to pay for the 4 new machines?

2. An article is sold for Tk. 190, hence gaining a certain amount. Had the article been sold forTk. 175, he would have suffered loss equal to 50% of the gain in the first case. Find the costprice.

3. A tank can be filled up by tap X in 20 minutes and by tap Y in 60 minutes. Both the tap arekept open for 10 minutes and then tap X is close. What is the total time required to fill upthe tank?

4. Two partners A and B have 70% and 30% shares respectively in a business, after sometimes athird partner C joined in the business by investing TK. 10 lakh and thus having 20% share inbusiness ,what % is the A’s share now in the business.

5. In a garden there are 10 rows and 12 columns of trees. The distance between any two trees is 2m and a distance of 1 m is left from all sides of the boundary of the garden. What is thelength of the garden?

6. P starts jogging from point X to point Y. 30 minutes later his friend R who jogs 1 km/hr slowerthan twice P’s rate starts from the same point and follows the same path, if R overtakes P in2 hours, how many kilometers will R have covered?

7. Zico and Bipul each saved Tk 5000 in 2012.In 2013, Bipul saved 10% more than what he saved theprevious year and together they both saved a total of Tk 9000 that year. Approximately whatpercent less did Zico save in 2013 compared to 2012

8. Laboni bought a 1-year Tk 10000 certificate of deposit that paid an interest at an annual rateof 8% compounded semiannually. What was the total amount of interest paid on this certificateat maturity?

9. The cost in TK of manufacturing x microwaves is 6000+300x taka. The amount received when sellingthese x microwaves is 700x taka. What is the least number of microwaves that must bemanufactured and sold so that the net profit is TK 2400?

10. The population of a country doubled every 10 years from 1980 to 2010. What was the percentincrease in population during the period?

11. A man deposited TK 50000 at a certain interest for 1 year. After 1 year, he received TK 55,280 as both principal and interest after deduction of TK 120 as government levy and 10% oninterest as government tax. What was the interest rate in percentage?

12. X can do a work in 12 days. Y is 60% more efficient than X. How many days will Y require tocomplete the work?

13. A certain cake recipe states that the cake should be baked in a pan 8 inches in diameter. IfSalma wants to use the recipe to make a cake of the same depth but 12 inches in diameter, bywhat factor should she multiply the recipe ingredients?

14. The Savings of an employee equals Income minus Expenditure. If their Incomes ratio is 1 : 2 :3 and their Expenses ratio is 3 : 2 : 1, then what is the order of the employees A, B, and Cin the increasing order of the size of their savings?

15. The square root of 2 billion is between16. How many different 3-digit numbers are greater than 299 and do not contain the digits 1, 6, or

8?

17. From a group of 5 managers (Joon, Kendra, Lee, Marnie and Noomi), 2 people are randomly selectedto attend a conference in Las Vegas. What is the probability that Marnie and Noomi are bothselected?

18. A room is half as long again as it is broad. The cost of carpeting the room at Tk. 5 per sq. mis Tk. 270 and the cost of papering the four walls at Tk. 10 per sq. m is Tk. 1720. If a doorand 2 windows occupy 8 sq. m, find the dimensions of the room.

19. How many 4-letter words with or without meaning, can be formed out of the letters of the word,'LOGARITHMS', if repetition of letters is not allowed?



20. When a plot is sold for TK. 18,700, the owner loses 15%. At what price must that plot be soldin order to gain 15%?

21. 100 oranges are bought at the rate of TK. 350 and sold at the rate of TK. 48 per dozen. Thepercentage of profit or loss is:

22. A trader mixes 26 kg of rice at TK. 20 per kg with 30 kg of rice of other variety at TK. 36per kg and sells the mixture at TK. 30 per kg. His profit percent is:

23. Bank offers 5% compound interest calculated on half-yearly basis. A customer deposits TK. 1600each on 1stJanuary and 1st July of a year. At the end of the year, the amount he would havegained by way of interest is?

24. Simple interest on a certain sum of money for 3 years at 8% per annum is half the compoundinterest on TK. 4000 for 2 years at 10% per annum. The sum placed on simple interest is?

25. A, B and C jointly thought of engaging themselves in a business venture. It was agreed that Awould invest TK. 6500 for 6 months, B, TK. 8400 for 5 months and C, TK. 10,000 for 3 months. Awants to be the working member for which, he was to receive 5% of the profits. The profitearned was TK. 7400. Calculate the share of B in the profit.

26. In what ratio must a grocer mix two varieties of tea worth TK. 60 a kg and TK. 65 a kg so thatby selling the mixture at TK. 68.20 a kg he may gain 10%?

27. The cost of one dozen apples and one dozen mangoes is Tk. 100 and Tk.120 respectively. If youspend equal amounts of money to buy apples and mangoes and sell them both at Tk. 110 per dozen,what will be your approximate profit or loss?

28. Three math classes X, Y & Z take an algebra test. The average score in class X is 83. Theaverage score in class Y is 76. The average score in class Z is 85. The average score of allstudents in classes X & Y together is 79. The average score of all student classes Y & Ztogether is 81. What is the average for all the three classes?

29. A square office 1000 feet by 1000 feet is to be partitioned into two officers by a singleinterior wall. The difference between the perimeters of the resulting two officers is 4000feet. What are their dimensions?

30. A cube of side 5cm is painted on all its side. If it is sliced into 1 cubic centimeter cubes,how many 1 cubic centimeter cubes will have exactly one of their sides painted?

31. Among 120 students of a class, numbered 1 to 120, all even numbered students opt for Banglawhose numbers are divisible by 5 opt for English & those numbers are divisible by 7 opt formath. How many opt for none of these 3 subjects?

32. A supplier has three varieties of rice costing Tk.60, Tk.75 and Tk.100 per kg respectively. Atwhat ratio should he mix up these three varieties of rice so that by selling the mixture atTk.96 per kg he will make 20% profit on cost?

33. 2 men and 3 boys can do a piece of work in 10 days while 3 men and 2 boys can do the same workin 8 days. In how many days can 2 men and 1 boy do the work?

34. A shopkeeper sold an article offering a discount of 5% earned a profit of 23.5%. What wouldhave been the percentage of profit earned of no discount was offered?

35. Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast traincompletely passes a man sitting in the slower train in 5 seconds. What is the length of thefast train?

BCB Day 6

1. A man has to take a hen, a fox, and some corn across a river. He can only take one thing acrossat a time. Unless the man is present the fox will eat the hen and the hen eats the corn. Howis it done?

2. The market value of a 10.5% stock, in which an income of TK.756 is derived by investing TK.900,brokerage being 0.25%, is…

3. A contractor employed 30 men to do a piece of work in 38 days. After 25 days, he employed 5men more & the work was finished one day earlier. How many days he would have been behind, ifhe had not employed additional men?

4. A garrison of 500 men had provisions for 27 days. After 3 days a reinforcement of 300 menarrived. For how many more days will the remaining food last now?



5. A can contains a mixture of two liquids A & B is the ratio 7:5. When 9 liters of mixture aredrawn off and the can is filled with B, the ratio of A & B becomes 7:9. How many liters ofliquid A were contained by the can initially?

6. Ronald and Messi have two children. The probability that the first child is a girl is 50%. Theprobability that the second child is a girl is also 50%. Ronald and Messi tell you that theyhave a daughter. What is the probability that their other child is also a girl?

7. A clock is set right at 8 a.m. The clock gains 10 minutes in 24 houTK. What will be the truetime when the clock indicates 1 p.m. on the following day?

8. Every Sunday Tom jogs 3 miles. For the rest of the week, each day he jogs 1mile more than theprevious day. How many miles does he jog in 2 weeks?

9. The rainfall in January and February was 2.5 inches and 4 inches respectively. What was theincrease % in rainfall in February?

10. Tom can complete a job in 12 hours and Pom can complete the same job in 8 houTK. Tom startsthe job at 9am and stops working at 3pm. If Pom starts working at 4pm to complete the remainingjob, at what time is the job finished?

11. A and B together can do a piece of work in 12 days, which B and C together can do in 16 days.After A has been working at it for 5 days and B for 7 days C finishes in 13 days. In how manydays C alone will do the work?

12. A train overtakes two persons who are walking in the same direction in which the train isgoing, at the rate of 2 km/hr and 4 km/hr and passes them completely in 9 and 10 secondsrespectively. The length of the train is?

13. A father divides his property between his two sons A and B. A invests the amount at compoundprofit of 8% p.a. B invests the amount at 10% p.a. simple profit. At the end of 2 years, theprofit received by B is Tk. 1336 more than the profit received by A. Find the share of A inthe father’s property of Tk.25,000.

14. A contact is to be completed in 46 days and 117 men were set to work, each working 8 hours aday. After 33 days, 4/7 of the work is completed. How many additional men may be employed sothat the work may be completed in time, each man now working 9 hours a day?

15. In a class of 60, where girls are twice the boys, kamal ranked seventeenth from the top. Ifthere are 9 girls are ahead of kamal, how many boys are after him in rank?

16. A closed cylindrical tank contains 36π cubic feet of water and is filled to half its capacity.When the tank is placed upright on its circular based on level ground, the height of the waterin the tank is 4 feet. When the tank is placed on its side on level ground, what is the height,in feet, of the surface of the water above the ground?

17. A certain club has 10 members, including Harry. One of the 10 members is to be chosen at randomto be the president, one of the 9 members is to be chosen at random to be the secretary, andone of the remaining 8 members is to be chosen at random to be the treasurer. What is theprobability that Harry will be either the member chosen to be the secretary or the memberchosen to be the treasurer?

18. A can do a work in 20 days, B in 20 days and C in 60 days. From the first day, every third dayB and every fourth day C helps A. in how many days they will be done the work?

19. 70% students are enrolled in Management, Accounting and Marketing. 40 students are inManagement, 35 are accounting and 30 are in Marketing. 15 students are enrolled in all threecourses. How many of the students are enrolled in exactly two of the courses?

20. If a customer has to pay Tk. 650 including VAT (15% on total tariff) for electricity consumption,what is the number of units consumed by the customers?

21. One fifth of the products made by a company is defective. Four-fifth of the defectives wererejected and one-twentieth of the products were rejected by mistake. What percent of theproducts sold by the company is defective?

22. An employee pays 3 workers X, Y and Z a total of Tk. 600 a week. X is paid 125% of the amountY is paid 80% of the amount Z is paid. How much does X make in a week?

23. A sales person earns as commission 5% on all sales between Tk. 2000 and 6000, and 8% on allsales over Tk. 6000. If in a week his commission is Tk. 460, what were his total sales?

24. A dog is tied to a post in a corner where two fences meet at an angle of 120°. If the lengthof the rope is 8 feet over how many square feet can the dog roam?



25. There is a road covering the outside of a square garden of 11 yard broad. If the area of theroad is 4 acre. What is the parameter of the garden? ( in metric unit)

26. Among 50 junior officers of a bank, 22 have MBIM degree, 15 have banking diploma and 14 areM.Com in banking. Nine of the employees have two of the degrees and one has taken all the threeof the degrees. How many of 60 officers have none of the degrees?

27. In the square ABCD, the four unshaped parts are quarter circles each having the same radius.If the side of the square is 16. What is the area of shaped part?

28. A rectangular carpet covers half of a rectangular floor with the dimensions 9 by 12 feet. Ifthe ratio of their dimensions is same, then what is the length of the carpet?

29. A tank is fitted with 8 pipes, some of them that fill the tank and others that are waste pipemeant to empty the tank. Each of the pipes that fill the tank can fill it in 8 hours, whileeach of those that empty the tank can empty it in 6 houTK. If all the pipes kept open when thetank is full, it will take exactly 6 hours the tank to empty, how many of these are fill pipes?

30. A group of workers can do a piece of work in 24 days. However, as 7 of them were absent, ittook them 30 days to complete the work. How many people actually worked on the job to completeit?

31. A brand of paint costs Tk. 14 per liters, and 1 liter of paint will cover an area of 150 squarefeet. What is the minimum cost of paint needed to cover the 4 walls of a rectangular room thatis 12 feet wide, 16 feet long, and 8 feet high?

32. A rectangular field of 200m by 120m has two roads running along its center, one along thelength and the other along the width. If the width of the roads is 5m, what is the area coveredby the two roads?

33. The average of a set of 12 numbers, which includes 35, is N. If 35 is removed from the set and38 is added to the set, then what is the average of the new set of numbers in terms of N?

34. If the average of 5, 9, m, and n is 12, what is the average of (m + 7) and (n-3)?35. Two goods train each 500 m long, are running in opposite directions on parallel tracks. Their

speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to passthe driver of the faster one?

BCB Day 7

1. There are 6 working days in a regular week and for each day, the working hours are 10. A manearns TK. 2.10 per hour for regular work and TK. 4.20 per hour for overtime. If he earns TK.525in 4 weeks, how many hours did he work?

2. A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. WhenB has missed 27 times, A has killed:

3. To fill a tank, 25 buckets of water is required. How many buckets of water will be required tofill the same tank if the capacity of the bucket is reduced to two-fifth of its present?

4. Free notebooks were distributed equally among children of a class. The number of notebooks eachchild got was one-eighth of the number of children. Had the number of children been half, eachchild would have got 16 notebooks. Total how many notebooks were distributed?

5. One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savingsin Public Provident Fund. If he has tk. 1,80,000 as total savings, how much has he saved inPublic Provident Fund?

6. An organization decided to raise tk. 6 lakh by collecting equal contribution from each of itsemployees. If each of them had contributed TK. 60 extra, the contribution would have been tk.6.24 lakh. How many employees are there in that organization?

7. In a group of ducks and cows, the total number of legs is 28 more than twice the number ofheads. Find the total number of cows.

8. A man buys tk. 20 shares paying 9% dividend. The man wants to have an interest of 12% on hismoney. What is the market value of each share?

9. Of a group of 27 students, 18 belong to the French club and 15 belong to the Spanish club. Ifeach student belongs to at least one club, how many students belong to both club?



10. A man walks 3o minutes at an average speed of 3 miles/hour. He waits 10 minutes for a bus,which brings him back at his starting point at 3:15.If he began to walk at 2:25 the sameafternoon, find the average speed of the bus?

11. Jack has two quarts of a 30% acid solution and three pints of a 20% solution. If he mixes them,what will be the concentration to the nearest of the resulting solution?

12. From 6 boys and 4 girls, 5 are to be selected for admission for a particular course. In howmany ways can this be done if there must be exactly 2 girls?

13. City B is 8 miles east of city A. City C is 6 miles north of City B. City D is 16 miles eastof City C and City E is 12 miles north of City D. What is the distance from City A to City E?

14. A 3-digit number 4a3is added to another 3-digit number 984 to give a 4-digit number 13b7, whichis divisible by11. Then, (a+b)=?

15. In a group of student,80% of the student weigh less than 60kg and a total of 32 students weighless than 50kg.if 60% of the students weigh at least 50kg how many of the student weigh atleast 50kg but less than 60kg?

16. If a real estate agent received a commission of 6 percent of the selling price of a certainhouse, what was the selling price of the house?

17. What was the average number of miles per gallon of gasoline for a car during a certain trip?18. The simple interest on a sum of money will be Tk. 600 after 10 yeaTK. If the principal is

trebled after 5 years, what will be the total interest at the end of the tenth year?

19. A & B working alone can do a work in 9 & 12 days respectively. If they work for a dayalternately, A beginning, in how many days the work will be completed?

20. Salman bought two variables’ of rice, costing Tk. 5 per kg and Tk. 6 per kg each. And mixedthem in some ratio. Then he sold the mixture at Tk. 7 per kg, making a profit of 20%. What wasthe ratio of the mixture?

21. In a stream running at 4 km/h, a motor boat goes 10 km upstream and back again to the startingpoint in 75 minutes. Find the speed of the motor boat in still water?

22. A team of 2 men and 5 women completed ¼ th of a job in 3 days. After 3 days another man joinedthe team and they took 2 days to complete another ¼ th of the job. How many men can completethe whole job in 4 days?

23. In a group of students, 80% of the students weigh less than 60 kg and a total of 32 studentsweigh less than 50 kg. If 60% of the students weigh at least 50 kg, how many of the studentsweigh at least 50 kg but less than 60 kg?

24. A boat travels for 3 hours with a current of 3 mph and then returns the same distance againstthe current in four houTK. What is the boat’s speed?

25. A & B enter into a partnership and A invests Tk. 10,000 in the business. At the end of 4 monthshe withdraws Tk. 2000. At the end of another 5 months, he withdraws another Tk. 3000. If Breceives tk. 9600 as his share of the total profit of tk. 19,100 for the year, how much did Binvest in the company?

26. A train overtakes two persons who are walking in the same direction in which the train isgoing, at the rate of 2 km/h and 4 km/h and passes them completely in 9 & 10 seconds respectively.The length of the train is?

27. A shopkeeper lost 7.5% by selling an article. If he had bought it at 10% less and sold it forTk. 31 more, he would have gained 20%. Find the cost price?

28. A ran a 2 mile race at an average speed of 8 miles per hour. If B ran the same race at anaverage speed of 6 miles per hour, how many minutes longer than A did b take to complete therace?

29. A contractor is to be completed in 46 days and 117 men were set to work, each working 8 hoursa day. After 33 days, 4/7 of the work is completed. How many additional men may be employed sothat the work may be completed in time, each man now working 9 hours a day???

30. 2 men and 3 boys can do a piece of work in 10 days while 3 men and 2 boys can do the same workin 8 days. In how many days can 2 men and 1 boy do the work?

31. A man bought a house for tk. 10 lakhs and rents it. He put 12.5% of each month’s rent asidefor repairs, pays tk. 1660 as annual taxes and realizes 10% on his investment thereafter. Themonthly rent of the house is?



32. If A walk at the rate of 4 kmph A miss the train by 10 minutes. If A walks at the rate of 5kmph, A reach 5 minutes before the arrival of the train. How far is the station from A’s houseassuming that A start walking from his house?

33. Rahim mowed 75% of his lawn in 1.25 houTK. Mizan, who works twice as fast, then stated theremaining work and finished it. How namy minutes did mizan work?

34. Two pipes A & B can fill a tank in 6 hours and 4 hours respectably. If they are opened onalternate hours and if pipe A is opened first, in how namy hours the tank shall be full?

35. A person spends 1/3rd of the money with him on food, 1/5th of the remaining on education and1/4th of the remaining on treatment. Now he is left with Tk. 200. How much did he have withhim in the beginning?

BCB Day 8

1. A machine P can print one lakh books in 8 hours; machine Q can print the same number of booksin 10 hours while machine R can print them in 12 houTK. All the machines are started at 9 a.m.while machine P is closed at 11 a.m. and the remaining two machines complete the work.Approximately at what time will the work be finished?

2. On a certain day X drivers his car from his home at the rate of 20 km/h and reaches his office5 minutes early. Calculate the distance between X’s home and office in Km.

3. Two pipe A and B can fill a tank in 6 hours and 4 hours respectively. It they are opened analternate hours and it pipe A is opened first, in how many hours, the tank shall be full?

4. A man row 12 KM/h in still water, It takes him twice as long to row up as to row down theriver. Find the rate of stream.

5. The simple interest on a sum of money will be Tk. 600 after 10 yeaTK. It the principal istrebled after 5 years, what will be the total interest at the end of the tenth year.

6. In a examination, A got 10% marks less than B, B got 25% marks more than C and C got 20% lessthan D. It A got 360 marks out of 500, the percentage of marks obtained by D was:

7. The sale price of an article including the sale tax in Tk. 616. The rate of sale tax is 10%.It the shopkeeper has made a profit of 12%, then the cost price of the article is:

8. A tea merchant blends 2 kinds of tea, putting in 3 parts of a Tk. 25 per Kg grade to 1 part ofa Tk. 15 per Kg. It the mixture is changed to 1 part of the Tk. 25 per kg grade to 3 parts ofthe less expensive grade, how much will she shop lose or save in blending 200 Kg?

9. It the number 91876*2 is completely divisible by 8, then the smallest whole number in place of* will be:

10. A cube of side 5cm is painted on all its side. If it is sliced into I cubic centimeter cubes,how many 1 Cubic centimeter cubes will have exactly one of their sides painted?

11. Two trains are moving in the same direction at 65 Km/h. The faster train crosses a man inslower train in 18 seconds. The length of the faster train is:

12. If 80 lamps can be lighted 5 hours per day for 10 days for Tk. 21.25, them the number of lampswhich can be lighted 4 hours daily for 30 days for tk. 76.50 is:

13. A boy multiplied 423 by a number and obtained 65589 as his answer. It both the fives in theanswer are wrong and all other figures are correct, the correct answer is:

14. Mohona deposits Tk. 10000 into a savings account that pays interest at an annual rate of 8%compounded quarterly. After 6 months, how much interest has Mohona earned?

15. The reflex angle between the hands of a clock at 10:25 is:16. At an election involving two candidates, 68 votes were declared invalid. The winning candidate

secures 52% and wins by 98 votes. The total numbers of votes polled is?

17. When three number are divided by 5, the remainders are 0, 3 and 4 respectively. Which of thefollowing could be the sum of the three numbers?

18. Two trains running in opposite directions cross a man standing on the platform in 27 secondsand 17 seconds respectively and they cross each other in 23 seconds. What is their ratio ofthe speed?

19. If the degree measures of two angles of an isosceles triangle are in the ratio 1:3, what isthe degree measure of the largest angle if it is not a base angle?



20. How many ounces of water must be added to a 30-ounce solution that is 40 percent alcohol todilute the solution to 25 percent alcohol?

21. A shopper spends $25 to purchase floppy disks at 50¢ each. The next day, the disks go on salefor 30¢ each and the shopper spends $45 to purchase more disks? What was the average price perdisk purchased?

22. A rectangular garden is to be twice as long as it is wide. If 360 yards of fencing, includingthe gate, will completely enclose the garden, what will be the length of the garden, in yards?

23. Lucy invested 10,000 Taka in a new mutual fund account exactly three years ago. The value ofthe account increased by 10 percent during the first year, increased by 5 percent during thesecond year, and decreased by 10 percent during third year. What is the value of the accounttoday?

24. If O is the center of the circle above, what fraction of the circular region is shaded?25. After driving to a riverfront parking lot, Ansar plans to run south along the river, turn

around, and return to the parking lot, running north along the same path. After running 3.25miles south, he decides to run for only 50 minute more. If Ansar runs at a constant rate of 8minutes per mile, how many miles farther south can ru and still be able to return the parkinglot in 50 minutes?

26. The total cost for company X to produce a batch of tools is Tk 10,000 plus Tk 3 per tool. Eachtool sells for Tk 8. The gross profit earned from producing and selling these tools is thetotal income from sales minus the total production cost. If a batch of 20,000 tools is producedand sold, then Company X’s gross profit per tool is what?

27. Machine A produces bolts at a uniform rate of 120 every 40 seconds, and Machine B producesbolts at a uniform rate of 100 every 20 seconds. If the two machines run simultaneously, howmany seconds will it take for them to produce a total of 200 bolts?

28. A ladder of a fire truck is elevated to an angle of 60º and extended to a length of 70 feet.If the base is of the ladder is 7 feet above the ground, how many feet above the ground doesthe ladder reach?

29. A pharmaceutical company received Tk 3 lakh in royalties on the first Tk 20 lakh in sales ofthe generic equivalent of one of its products and then Tk 9 lakh in royalties on the next Tk108 lakh in sales. By approximately what percent did the ratio of royalties to sales decreasefrom the first Tk 20 lakh in sales to the next Tk 108 lakh?

30. If money is invested at r percent interest, compounded annually, the amount of the investmentwill double in approximately r/70 yeaTK. If Jihan’s parents invested Tk 5000 in a long-termbond that pays 8 percent interest, compounded annually, what will be the approximate totalamount of the investment 18 years later, when Jihan is ready for college?

31. A club collected exactly Tk 599 from its membeTK. If each member contributed at least Tk 12,what is the greatest number of members the club could have?

32. A tank contains 10,000 gallons of solution that is 5 percent sodium chloride by volume. If 2500gallons of water evaporate from the tank, the remaining solution will be approximately whatpercent sodium chloride?

33. During a certain season, a team won 80 percent of its first 100 games and 50 percent of itsremaining games. If the team won 70 percent of its games for the entire season, what was thetotal number of games that the team played?

34. The ratio by volume, of soap to alcohol to water in a certain solution is 2:50:100. The solutionwill be altered so that the ratio of soap to alcohol is doubled while the ratio of soap towater is halved. If the altered solution will contain 100 cubic centimeters of alcohol, howmany cubic centimeters of water will it contain?

35. Two friend A and B invest tk 40,000 and tk 60,000 respectively in order to set up a business.as the managing partner, A receive a remuneration of tk 12,000 out of total profits and Breceives no salary. After A's salary has been paid 10% of the profits are set aside each yearto purchase new equipment. the remainder of the profit is then divided between the friends inthe ratio of their capital investment. the total profit for the first year was tk 21,0000.Calculate the total amount received by A nd B individually at the end of the first year?



BCB Day 9

1. A store currently charges the same price for each towel that it sells. If the current price ofeach towel were to be increased by Tk 110 fewer of the towels could be bought for Tk 120,excluding sales tax. What is the current price of each towel?

2. Car A is 20 miles behind Car B, which is travelling in the same direction along the same routeas Car A. Car A is travelling at constant speed of 58 miles per hour. How many hours it willtake for Car A to overtake and drive 8 miles ahead of Car B?

3. A shopkeeper marks an article at such a price that after allowing a discount of 30% on the tagprice (including tax ) he makes a profit of 40%.If the tag price of the article including taxis Tk. 460,then the cost price of that article is-

4. One third of Vindo’s marks in mathematics exceeds half of his marks in social studies by 30,if he got 240 marks in the two subjects together, how many marks did he get in social studies?

5. You have a rifle with only three bullets by which you have to shoot down a helicopter. You willshoot the bullets one after another. The probability of the first bullet to hit it is 90% andthose of 2nd and 3rd one is 80% & 70% respectively. What is the probability that the helicopterwill be shot-down?

6. P starts jogging from point x to y.A half hour later ,R who jogs 1 mile per hour slower thantwice P's rate starts from the same path.If R overtakes P in 2 houTK.

7. Coins are to be put into 7 pockets so that each pocket contains at least one coin.at most 3 ofthe pocket are to contain the same number of coins and no two of the remaining pockets are tocontain an equal number of coins.what is the least possible number of coins needed for thepockets?

8. one third , one fourth , one fifth and one seventh of the human population of island X, whichhas fewer than 5000 human inhabitants, are all whole numbers and their sum is exactly thepopulation of island Y. what is the population of island Y?

9. If a right angled isosceles triangle is inscribed in a circle, what is the ratio of the areaof the circle to the area of the triangle?

10. The cost of diamond varies directly as the square of its weight. Once, this diamond broke intofour pieces with weights in the ratio 1:2:3:4. When the pieces were sold, the merchant got TK.70,000 less. Find the original price of the diamond.

11. A car travels 50 miles an hour, and a plane travels 10 miles a minutes. How far will the cartravel when the plane travels 500 miles?

12. A box of 54 oranges is sold for Tk 162 and a box of 27 is sold for Tk 132. A customer needsonly 54 oranges but he had to buy 2 boxes as one with 54 oranges was not available.Approximately, how much was the 'excess' money that the customer had to pay for each orange?

13. A piece of wire 44cm long is cut into two parts each part is bent to form a square. Given thatthe total area of the two squares is 65cm^2. Find the perimeter of the two square?

14. Two cogged wheels of which one has 32 cogs and other 54 cogs, work into each other. If thelatter turns 80 times in three quarters of a minutes, how often does the other turn in 8seconds?

15. In preparation there were x y and z in the proportion of 5:2:1. What will be the amount ofpreparation if x y and z are 25, 20 and 8 liters accordingly?

16. Sakib invested BDT 1000@10% interest, BDT X @8% and BDT 1500@Y% interest for 5 yeaTK. If allinterest rate are compounded annually, he will get BDT 1801 as interest.if all interest ratesare simple annual, he will get BDT 1525 as interest .what is the value of X and Y?

17. A ladder is inclined to a wall making an angle of 30° with it,A man is ascending the ladder atthe rate of 2 meters/second.

18. Present ages of Sameer and Emir are in the ratio of 5 : 4 respectively. Three years hence, theratio of their ages will become 11: 9 respectively. What is Emir's present age in years?

19. A trade where selling an item was asking for such a price that would enable him to offer a 10%discount and still make a profit of 20%. If the cost of the product was taka 50, what was hisasking price?




21. A man takes twice as long to row a distance against the stream as to row the same distance infavor of the stream. The ratio of the speed of the boat (in still water) and the stream is?

22. You have a rifle with only three bullets by which you have to shoot down a helicopter. You willshoot the bullets one after another .the probability of the first bullet to hit it is 90% andthose of 2nd and 3rd one is 80% and 70% respectively. What is the probability that the helicopterwill be shot down?

23. One fifth of the products made by a company are defective. Four-fifth of the defectives wasrejected and one-twentieth of the products were rejected by mistake. What percent of theproducts sold by the company is defective?

24. A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of thepipe is 1 cm and iron weighs 8 g/cm3, then the weight of the pipe is?

25. One pipe can fill a tank three times as fast as another pipe. If together the two pipes canfill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in?

26. In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by?

27. A cask initially contains pure alcohol up to the brim. The cask can be emptied by removingexactly 5 liters at a time. Each time this is done, the cask must be filled back to the brimwith water. The capacity of the cask is 15 liteTK. When the cask is completely emptied andfilled back to the brim two times, what is the ratio of alcohol to water in the cask?

28. Three times the first of three consecutive odd integers is 3 more than twice the third. Thethird integer is?

29. Joan started work 2 years ago. Her starting salary was half of Mike’s salary at that time. Eachyear since then Joan and Mike have received a rise of 10% in their respective salary. Whatpercentage (to the nearest percent) of Mike’s current salary is Joan’s current salary?

30. Three candidates contested an election and received 1136, 7636 and 11628 votes respectively.What percentage of the total votes did the winning candidate get?

31. Of the 300 subjects who participated in an experiment using virtual-reality therapy to reducetheir fear of heights, 40 percent experienced sweaty palms, 30 percent experienced vomiting,and 75 percent experienced dizziness. If all of the subjects experienced at least one of theseeffects and 35 percent of the subjects experienced exactly two of these effects, how many ofthe subjects experienced only one of these effects?

32. 2men and 3boys can a work in 10 days. 3 men and 2 boys can do the work in 8 days. 2 men and 1boys can do the work in how many days?

33. The speed of a railway engine is 42 km per hour when no compartment is attached. The reductionin speed is directly proportional to the square root of the number of compartment attached. Ifthe speed of train carried by this engine is 24 km per hour, when 9 compartments are attached,what is the maximum number of compartment that can be carried by this engine?

34. A project has been started by a man on the first day. Each subsequent day a new person joinedthe work force and it is known that the total work got completed on the 11th day. If from thestarting day 6 men working on the project and no new men added later, in how many days the workgot completed?

35. A library has an average of 510 visitors on Sundays and 240 on other days. The average numberof visitors per day in a month of 30 days beginning with a Sunday is?

BCB Day 10

1. A hollow garden roller 63 cm wide with a girth of 440 cm is made of iron 4 cm thick. what isthe volume of iron used?

2. A, B and C can do a piece of work in 16, 32, and 48 days respectively. They started workingtogether but C left after working 4 days and B 2 days before the completion of work. How manydays it took to complete the work?



3. A, B & C Started a business each investing tk 20,000/=, after Five months A withdraw tk 5000,B withdraw tk 4000 and C invest tk 6000 more. At the end of the year a total profit of tk69,900/= was recorded. Find the share of each.

4. The ratio of income of X & Y is 3:4. The ratio of their expenditure is 4:5. Find the ratio oftheir saving if the saving of X is one fourth of his income?

5. Sterling silver is 92.5% pure silver. How many grams of sterling silver must be mixed to a 90%silver alloy to obtain a 500 g of a 91% silver alloy?

6. In a factory where toys are manufactured, machines A, B and C produce 25%, 35% and 40% of thetotal toys, respectively. Of their output, 5%, 4% and 2% respectively are defective toys. If atoy drawn at random is found to be defective, what is the probability that it is manufacturedon machine B?

7. Coffee A normally costs Tk. 100 per pound. It is mixed with Coffee B, which normally costs Tk.70 per pound, to form a mixture which costs Tk. 88 per pound. If there are 10 pounds of themix, how many pounds of Coffee A are used in the mix?

8. A retailer buys 40 pens at the market price of 36 pens from a wholesaler. if he sells thesepens giving a discount of 1% what is the profit percent?

9. A cricket team won 3 matches more than they lost. If a win gives them 2 points and loss (-1)point, how many matches, in all have they played if their score is 23?

10. The total number of digits used in numbering of a book having 366 pages.11. A shopkeeper combined X liters of a solution containing 10% certain material Q, with 10 liter

of another solution that contained 2% that material Q, to produce Z liters of a solution thatwas 5% Q. What is the value of X?

12. A radio was sold at 10% loss, if the selling price was tk 45 more, and then there would be a 5% profit, what was the cost of the radio?

13. P starts jogging from point x to y. A half hour later R who jogs 1 mile per hour slower thantwice P’s rate starts from the same path .If R overtake P in 2 houTK. How many miles will Rhave covered?

14. A is 50% as efficient as B .c does half of the work done by A and B together .if C alone doesthe work in 40 days then A B C can together do the work in.

15. Point A is 10 miles West of point B. Point, B is 30 miles North of Point C, Point C is 20 milesEast of Point D. What is the distance between points A and D.

16. When a producer allows 36% commission on the retail price of this product, he earns a profitof 8.8% what would be his profit percent if the commission is reduced by24%?

17. A large cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?

18. Three numbers which are co-prime to each other are such that the product of the first two is551 and that last two is 1073. The sum of the three numbers is-

19. The ratio of income of Kamran and Dolon is 3:4, the ratio of their expenditure is 4:5. Findthe ratio of their savings if the savings of Kamran is one-fourth of his income.

20. Two trains equal length of 500 meters starts moving on two parallel railway tracks at a speedof 104 km/h and 80 km/h respectively. How much time the faster train will take to cross theslower one?

21. The area of a field is 680 square feet. If he cost of fencing is tk 50 per foot, then how muchwill it cost to fence the field?

22. A train crosses a platform 100 meters long in 60 seconds at a speed of 45 km per hour. The timetaken by the train to cross an electric pole is?

23. Two trains of equal length are running on parallel lines in the same direction at 46 km/hr.and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each trainis?

24. A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but areforced to leave after 3 days. The remaining work was done by A in how many days?

25. The cost, in taka, of manufacturing x microwaves is 6000+ 300x taka. The amount received whenselling these x microwaves is 700x taka. What is the least number of microwaves that must bemanufactured and sold so that net profit is taka 2400?



26. Present ages of Sameer and Emir are in the ratio of 5:4 respectively. Three years hence, theratio of their ages will become 11:9 respectively. What is Emir's present age in years?

27. A trade where selling an item was asking for such a price that would enable him to offer a 10%discount and still make a profit of 20%. If the cost of the product was taka 50, what was hisasking price?


29. A contract is to be completed in 56 days and 104 men were set to work, each working 8 hours aday. After 30 days, 2/5 of the work is completed. How many additional men are employed, so thatthe work may be completed in time if each man works 9 hours a day?

30. A 20 liter mixture of milk and water contains milk and water in the ratio 3: 2. 10 liters ofthe mixture is removed and replaced with pure milk and the operation is repeated once more. Atthe end of the two removals and replacement, what is the ratio of milk and water in theresultant mixture?

31. Two merchants sell, each an article for TK.1000. If Merchant A computes is profit on costprice, while Merchant B computes his profit on selling price, they end up making profits of25% respectively. By how much is the profit made by Merchant B greater than that of MerchantA?

32. A Light system can be emitted by the intensity of candle. The intensity of light is equivalentto 64 candles when the candles are 2m apart. According to Optical Physics the intensity isinversely proportional to the square of the distance. So when Candles are 8m apart, Find theintensity equivalent to number of candles.

33. Rita produced two products Plain cake and chocolate cake. Of the cake produced last month 3/5was plain cake and rests were chocolate cake. It takes 7/5 as many hours to make a chocolatecake as it does to make a plain cake. If last month Rita worked for a total of 58 hrs how manyhrs did she spend for making chocolate cakes?

34. Two alloys A and B are composed of two basic elements. The ratios of the compositions of thetwo basic elements in the two alloys are 5:3 and 1:2 respectively. A new alloy A and B in theratio 4:3. What is the ratio of the composition of the two basic elements in the alloy X?

35. A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distanceupstream. If the speed of the boat in still water is 10 mph, the speed of the stream is?

BCB Day 11

1. The elevator in an eleven-storied office building travels at the rate of one floor per 1/4minute, which allows time for picking up & letting down passengeTK. At the main floor & at thetop floor the operator stops for 1 minute. How many complete (with return) trips will theoperator makes during a 7-hour period?

2. The water in a fish tank measuring 15 inches by 8 inches is 7 inches high. The water is pouredinto another tank measuring 14 inches by 20 inches. What will be the height of water in inches,in the second tank?

3. A and B together can do a piece of work in 12 days , Which B and C together can do in 16 days. After A has been working at it 5 days and B for 7 days C finishes in 13days. In how many daysC alone will do the work?

4. In a group of people solicited by a charity, 30% contribute tk40 each, 45% contribute tk20each, and rest the contribute tk 2 each. If the charity receives a total for tk 300 from thepeople who contribute tk 2, how much was contribute by the entire group?

5. A manufacturing company uses two machines A and B with different production capacities. Whenworking alone, machine A can produce a production lot in 5 hours and machine B can produce thesame lot in X houTK. When the machines operate simultaneously to fill the same production lot,it takes them 2 hours to complete the job. How many hours will the machine B take to producethe production lot along?



6. A brand of paints costs Tk. 14 per liter, and 1 liter of paint will cover an area of 150 squarefeet. What is the minimum cost of paint needed to cover the 4 walls of a rectangular room thatis 12 feet wide, 16 feet long and 8 feet high?

7. Mr. A invested an amount of tk 13900 divided into two different schemes A & B at a simpleinterest rate of 14% per annum and 11 % per annum respectively. If the total amount of simpleinterest earned in 2 years be 3508, what was the amount invested in scheme B?

8. 7 kgs of mangoes cost as much as 10 kgs of apple and 1 kg of orange. 7 kegs of orange cost asmuch as 1 kg of mango and 2 kgs of apple. How many kgs of apple can be purchased by the anountof money required to purchase 12 kgs of mangoes?

9. Danish and Sham, who live 10 miles apart, meet at a cafe that is directly north of Danish’shouse and directly east of Sham's house. If the cafe is 2 miles closer to Danish’s house thanto Sham's house, how many miles is the cafe from Sham's house?

10. fresh grapes contains 90% water by weight while dried grapes contains 20% water by weight .whatis the weight of dry grapes available from 20 kg of fresh grapes.

11. The ratio of income of Yusuf and Alamgir is 3:4.the ratio of their expenditure is 4:5.find theratio of their savings if the savings of Yusuf is one fourth of his income?

12. Jalal started work 2 years ago. His starting salary was 1/2 of Millar’s salary at that time.Each year since then Jalal has received a raise of 5% in his salary and Millat has received araise of 10% in his salary. What percentage (to the nearest percent) of Millets’ current salaryis Jalap’s current salary?

13. A seller bought some pens @ 5tk for Tk 100. those were separated into 2 stacks and one of whichwas sold @ 3tk for 100tk and the other @ 6tk for 100 tk. what was the ratio of pens number intwo stacks if there is no loss no profit?

14. A man takes loan of 500 taka at 5% interest for some time. After some period he again takes400 taka loan at 3.5% interest rate. After 6 months of taking his 2nd loan he paid the bothloans with a total of 994.50 with interest. How many days after taking the first loan he paidthe loans?

15. If you add up the digits of a three digit number you get 18. The ten digits is twice the hundreddigits and the hundreds digits is 1/3 the units digits. What is the number?

16. A person wishes to accumulate tk. 500000 by end of 15 years by making equal half yearly depositsover the next 15 yeaTK. If he earns 10% on the investment, how much must he deposit at the endof each half year?

17. Two workers A and B are engaged to do a work. A working alone takes 8 hours more to completethe job than if both worked together. If B worked alone he would need 4.5 hours more to completethe job than they both working together. What time would they take to do the work together?

18. Tania’s grandfather was eight times older to her 16 years ago. He would be 3 times of her age8 years from now. Eight years ago, what was the ratio of Tania’s age to that of her grandfatherage?

19. A train which travels at a uniform. Speed due to some mechanical problems after traveling foran hour goes at 3/5 then of the original speed and reached the destination 2 hours late. Ifthe problem had occurred after traveling another 50miles, the train would have reached 40minutes earlier. What is the distance between the two stations?

20. A can do a piece of work in 10 days, while B alone can do it in 15 days. They work togetherfor 5 days and the rest of the work is done by C in 2 days. If they get tk. 4500 for the wholework, how should they divide the money?

21. A, B and C can do a piece of work in 16, 32 & 48 days respectively. They started workingtogether but C left after working 4 days and B, 2 days before the completion of work. How manydays it took to complete the work?

22. The speed of a railway engine is 42 km per hour when no compartment is attached and thereduction in speed directly proportional to the square root of the number of compartmentsattached. If the speed of the train carried by this engine is 24 km per hour when 9 compartmentsare attached, what is the maximum no. of compartments that can be carried by the engine?

23. Divided Tk.600 among A, B and C so that Tk.40 more than th of A's share.Tk.20 more than of

B's share and Tk.10 more than th of C's share may all be equal. What is A's share?



24. Tk.5625 is divided among A, B and C so that A may receive as much as B and C together receive,

B receives of what A and C together receives.

25. A and B are two alloys of gold and copper prepared by mixing metals in proportions 7:2 and 7:11respectively. If equal quantities of the alloys are melted to form a third alloy C, theproportion of gold and copper in C will be :

26. Average age of 18 men is decreased by 1 year when one man whose age is 49 years is replacedby a new man. Find age of the new man.

27. Average age of 7 members of a family is 29 yeaTK. If present age of the youngest member is 5year, find average age of the remaining members at the time of birth of the youngest member.

28. The average marks obtained by some students in an examination is 54. If 20% of the studentsgot a mean score of 90 marks and the 30% of the students got a mean score of 20. Find theaverage marks of the remaining students

29. A does half as much work as B in three-fourth of the time. If together they take 18 days tocomplete a work, how much time shall B take to do it?

30. A 60 meter long train passes a 240 meter long railway station in 10 sec. How many seconds willit take to pass an electric pole?

31. A train went 300 miles from X to city Y at an average speed of 80 mph. At what speed did ittravel on the way back if its average speed for the whole trip was 100 mph?

32. The current of stream runs at 1 km/h. A motor boat goes 35 km upstream and back again to thestarting point in 12 houTK. The speed of the motor boat in still water is?

33. A man can row 8 km/h in still water and the river is running at 2 km/h. If the man takes 1 hourto row to a place and back, how far is the place?

34. A boat travels for three hours with a current of 3 mph and then returns the same distanceagainst the current in four houTK. What is the boat's speed?

35. A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him1 hour to row to a place and come back, how far is the place?

BCB Day 12


2. The sum of two numbers is 15 and sum of their squares is 113.The numbers are?

3. Of the total no. of oranges that arrive at a juice company, 20% by weight is rejected beforeprocessing. Of the oranges that are processed, 15% by weight is rejected before being juiced.Of the oranges that are juiced, 25% are wasted as result of juice making. Of the oranges, thosearrive at the company, what percent by weight is juiced?

4. Ratan and Moinul have started a business taka 2.5 and 3.5 million respectively. After fourmonths, Ratan gave in 5 lakh taka more Moinul withdrew 5 lakh taka. If the ending profit of ayear is 12.92 million taka, what will be the profit share of Moinul in million taka?

5. In a cricket championship tournament, Team Dhaka has won 30 games out of 50 played. It has 45more games to play. In order to maintain an average of 80% victory rate, then Dhaka has to winhow many more games?

6. 1 year ago the ratio between A’s and B’s salary was 3:4. Ratios of their individual salarieslast year’s and this year’ salaries are 4:5 and 2:3. At present the total of their salary isTK 4160. How much is the salary of A now?

7. A can do a piece of work in 10 days. While B alone can do it in 15 days. They worked togetherfor 5 days and the rest of the work is done by C in 2 days. If they get 450 for whole work,how much money C should get from the work?

8. In an acoustics class, 120 students are male and 100 students are female. 25% of the malestudents and 20% of the female students are engineering students. 20% of the male engineeringstudents and 25% of the female engineering students passed the final exam. What percentage ofengineering students passed the exam?

9. Each person in a group of 110 investors has investments in either equities or securities orboth. Exactly 25% of the investors in equities have investments in securities and exactly 40%



of the investors in securities have investments in equities. How many have investments inequities?

10. The list price of a commodity is the price after a 20% discount on the retail price. Thefestival discount price on the commodity is the price after a 30% discount on the list price.Customers purchase commodities from stores at a festival discount price. What is the effectivediscount offered by the stores on the commodity on its retail price?

11. The total income of Mr. Kamal in the years 2013, 2014 and 2015 was Tk. 62400. His incomeincreased by 20% each year. What was his income in 2015?

12. Two people start jogging at the same point and time but in opposite directions. If the rate ofone jogger is 3 mph faster than the other and after 2 hours they are 30 miles apart, what isthe rate of the faster jogger?

13. In how many ways can the letters of the word MAXIMA be arranged such that all vowels aretogether and all consonants are together?

14. A bowl contains only marbles. If 1 /4 of the marbles were removed, the bowl would be filled to1/2 of its capacity. If 100 marbles were added, the bowl would be full. How many marbles arein the bowl?

15. If distinct numbers x , y , z and p are chosen from the numbers -2 , 2 , 1/2 , -1/3 , what isthe largest possible value of the expression (x^2 y)/(z-p) ?

16. Joan wishes to mix some tea worth $1.40 per pound with another type of tea worth $2.25 perpound in order to make a 10 pound mixture worth $1.74 per pound. How many pounds of the $1.40tea should she use?

17. Tom and Bill agreed to race across a 50-feet pool and back again. They started together, butTom finished 10 feet ahead of Bill. If their rates were constant, and Tom finished the race in27 seconds, how long did Bill take to finish it?

18. A machine P can print 1 lakh books in 8 hours, Q can same in 10 hours and R can print them in12 houTK. All the machines are started at 9 AM, while machine P is closed at 11 AM and theremaining two machines complete the work. Approximately at what time the work will be finished?

19. A salesman’s commission is 5% on all sales up to Tk10000 and 4% on all sales exceeding this.He remits Tk. 31100 to his parent company after deducting his commission. Find the total sales.

20. Two cars race around a circular track in opposite directions at constant rates. They start atthe same point and meet every 30 seconds. If they move in the same direction, they meet every120 seconds. If the track is 1800 meter long, what is the speed of each car?

21. Masud can do a job in 40 days working alone. Karim can do the same job in 60 days workingalone. They start working together and worked for 18 days, when Harun joined them. The threemen worked together and finished the job in 5 days. In how many days could Harun do the wholejob working alone?

22. A rectangular park 66m long & 40m wide has two concrete crossroads running in the middle ofthe park & rest of the park has been used as a lawn. If the area of the lawn is 2109 squaremeteTK. Then what is the width of the road?

23. Nafisa is 36 years old. She is twice as old as shammi was when nafisa was as old as shammi now.How old is shammi now?

24. A can do a work in 20 days, B in 20 days & C in 60 days. From the 1st day, every 3rd day B &every 4th day C helps A. In how many days they will be done the work?

25. Ayesha’s father was 38 years of age when she was born while her mother was 36 years old whenher brother 4 years younger to her was born. What is the difference between the ages of herparents?

26. A father said to his son, “I was as old as you are at the time of your birth”. If the father’sage is 38 years now, the son’s age 5 years back was?

27. In covering a distance of 30 K.M, abhey takes 2 hours more than sameer. If abbey doubles hisspeed, then he would take 1 hour less than sameer. Abhey’s speed is?

28. A train which travels at a uniform speed due to some mechanical fault after traveling for anhour goes at 3/5th of the original speed & reached the destination 2 hours late. If the faulthad occurred after traveling another 50 miles, the train would have reached 40 minutes earlier.What is the distance between the two stations?



29. If the beginning inventory is tk.60, cost is tk.380 & ending inventory is tk.50, what will beselling price?

30. If two cards are drawn at random from a deck of 52 cards, what is the probability that bothcards will be from same suit?

31. A train running at 36 kmph passes another train completely in 12sec, which is half of it length,running in the opposite direction at 54 kmph. If it also passes a railway platform in 1.5min.What is the length of the platform (in meters)?

32. Let N be the greatest number that will divide 1305, 4665, & 6905, leaving the same remainderin each case. Then sum of the digits in N is?

33. The solid brick shown is made of small square bricks of side 1. When the large brick isdisassembled into its component small bricks, the total surface area of all the small bricksis how much greater than the surface area of the large brick?

34. Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A is open allthe time and B and C are open for one hour each alternately, the tank will be full in?

35. A man can row three-quarters of a kilometre against the stream in 11 minutes and down thestream in 7 minutes. The speed (in km/hr) of the man in still water is?

BCB Day 13

1. Excluding stoppage, the speed of a bus is 54 km/hr & including stoppage it is 45 km/hr. Forhow many minutes does the bus stop per hour?

2. Two trains A & B start from stations X & Y towards Y & X respectively. After passing eachother, they take 4 hours 48 minutes & 3 hours 20 minutes to reach Y & X respectively. If trainA is moving at 45 km/ hr, then the speed of train B is?

3. A train overtakes two persons who are walking in the same direction in which the train isgoing, at the rate of 2 km/h & 4 km/ h & passes them completely in 9 & 10 seconds respectively.The length of the train is-

4. A man can row 30 km upstream & 44 km downstream in 10 houTK. He can also row 40 km upstream &55 downstream in 13 houTK. Find the rate of current & the speed of the man in still water

5. A & B together can do a piece of work in 12 days, while B& C together can do in 16 days. AfterA has been working at it for 5 fays & B for 7 days C finished in 13 days.in how many days Calone will do the work?

6. A leak in the bottom of a tank can empty the full tank in 8 houTK. An inlet pipe fills at therate of 6 litters a minute. When the tank is full, the inlet is opened & due to the leak, thetank is empty in 12 houTK. How many litters does the cistern hold?

7. Two pipes A & B can fill a tank in 6 hours & 4 hours respectively. If they are opened onalternate hours & if pipe A is opened first, in how many hours, the tank shall be full?

8. Two pipes A & B would fill a tank in 20 & 30 minutes respectively, both pipes being open, findwhen A must be turned off so that the tank may be just filled in 15 minutes

9. 1 year ago the ratio between A's & B's salary was 3:4.ratios of their individual salariesbetween last year's & this year's salaries are 4:5 & 2:3 respectively. At present the total oftheir salary is tk 4160.the salary of A now is?

10. In how many ways a coach can choose first a football team & then a basketball team if 18 boysgo out for either team?

11. There are 5 women & 5 men sitting in a waiting room for job. if two of the applicants areselected at random, what is the probability that both will be women?

12. A jar contains only red, yellow & orange marbles. If there are 3 red,5 yellow, & 4 orangemarble and if 3 marbles are chosen from the jar randomly without replacing any of them, whatis the probability that 2 yellow, 1 red& no orange marbles will be chosen?

13. In a race of 300 meter, A can beat B by 31 M & C by 18 M.in a race of 450 M, C will beat B by?14. Two alloys A & B are composed of two basic elements. The ratios of the compositions of the two

basic elements in the two alloys are 6:4 & 2:3, respectively. A new alloy X is formed by mixingthe two alloy A & B in the ratio 4:3.what is the ratio of the composition of the two basicelements in alloy X?



15. The length of the equator is 40 million meter. Find the radius of the earth in K.M.16. A wire 2 meter in length is cut into two pieces by which a square & a circle can be formed so

that the circle may pass through the corners of the square. Find the Radius of the circle.

17. A Company has issued 2,00,000 ordinary shares of tk.10 each and 50,000 debentures of tk.100each. The debenture increased of 10% per annum. In One years, after paying the interest of 9%on the debentures & 9% dividend on the ordinary shares. Its profits are just sufficient to puttk.2,00,000 to reserve. What are the profits for that year?

18. A Sales person’s monthly salary is tk.5000. He earns as commission 5% on all sales betweentk.20,000 and 69,999 and 8% on all sales exceeding tk.60,000. In adding, he gets a fixed bonusof tk.1,000 if his monthly sales exceeds tk.10,000.If in a month his total income was tk.10,400,what was his total sales?

19. A Person wishes to accumulate tk.5,00,000 by the end of 15 years by making equal half-yearlydeposits over the next 15 years .If he earns 10% on the investment, how much must he depositat the end of each half-year?

20. Kashem joined work two years ago. His starting Gross income was ½ of selim’s Gross income atthat time. Each year since then kashem has received a raise of 5% in his annual Basic Salary,which is 70% of his Gross income. His Allowance, which are 30% of his Gross income, have remainunchanged. Meanwhile, selim has received a raise of 10% in his basic, which is 80% of his grossIncome. His allowance, which are 20% 0f his gross income is kashem’s current Gross income?

21. A Taka received one year from now is worth 90 paisa today. If you had tk.500,000 available forinvestment, what would be the minimum rate at which you would have to invest in order to keepthe value of your capital unchanged? What redemption value of your investment would you expectif you wanted a real return of 5% per annum?

22. If sales tax is payable at rate t% of gross sales value and you intend to make a profit of r%,what would be the gross sales price inclusive of tax of an article which you bought for taka K?

23. There are 200 question in a 3 hour examination. Among these question are 50 mathematicsproblems. It is suggested that twice as much time be allowed for each mathematics problem asfor the other questions. How many minutes should be spent on the mathematics problems?

24. Suppose you deposit taka 10,000 on January 01,2012 at 12.50% interest rate for 1 year, on July01,2013 taka 15,000 at 12% interest rate for 6 months and on October 01,2013 taka 20,000 at11.50% interest rate for 3 months .Suppose you withdrew all deposits on Dec,31,2013. Calculatethe overall annual rate of interest you have, received.

25. When a producer allows 36% commission on the retail price of his product, he earns a profit of8.8%. What would be his profit percent if the commission is reduced by 24%?

26. The speed of railway engine is 42 km per hour when no compartment is attached, and the reductionin speed directly proportional to the square root of the number of compartments attached. Ifthe speed of the train carried by this engine is 24 km per hour when 9 compartments areattached, what is the maximum number of compartments that can be carried by the engine?

27. A contract is to be completed in 46 days and 117 men were set to work, each working 8 hours aday .after 33 days,4/7 of the work is completed in time ,each man now working 9 hours a day?

28. A pipe is turned on to fill water into a cistern at the rate of 4 liters per minute. The cisternhas a leak which would empty it in 6 hours and the cistern is now emptied in 10 houTK. Determinethe capacity of the cistern.

29. A leader is inclined to a wall making an angle of 30 degree with it. A man ascending the ladderat the rate of 2 meters/second. How fast is he approaching the wall?

30. A worker buys some shirts and some ties. Shirts cost tk.70 each and the ties cost tk.30 each.if the man spends exactly tk.810 and buys the maximum number of shirts possible under theseconditions, what is the ratio of shirts to ties?

31. Robi was 4 times as old as his son 8 years ago. After 8 years,Robi will be twice as old as hisson. What are their present age?

32. A,B and C start a business each investing tk.20,000.After 5 months A withdrew tk.5,000, Bwithdrew tk.4000 and C invests tk.6,000 more. At the end of the year, a total profit oftk.69,9000 was recorded. Find the share of each.

33. A dishonest business man makes a profit of 10% both on buying and selling of a commodity. Ifhis profit is tk. 1,050, what is the cost of the commodity?



34. A car goes 15 km per liter of petrol if it is driven at a speed of 50km/hr. when the car isdriven at 60 km per hour; it only goes 80% as far. How many liters of petrol is needed totravel 200 km if half the distance is traveled at 50 km per hour and the rest at 60 km per hourspeed?

35. A man takes twice as long to row a distance against the stream as to row the same distance infavour of the stream. The ratio of the speed of the boat (in still water) and the stream is?

BCB Day 14

1. Two integers will be randomly drawn from the sets A=[2,3,4,5] and B=[4,5,6,7,8], one integerfrom set A and one integer from set B. What is the probability that the sum of the two integerswill be 9?

2. In a certain shop, notebooks that normally sell for BDT 1.50 each are on sale at 2 for BDT2.89. How much can be saved by purchasing 10 of these notebooks at the sale price.

3. According to car dealer’s sales report, 1/3 of the cars sold during a certain period weresedans and 1/5 of the other cars were station wagons. If N station Wagons were sold during thatperiod, how many sedans in terms of N, were sold?

4. Two friends M and N have 40% and 60% shares in a business, after some time a third friendjoined the business by investing Tk 5 lac and acquired 20% shares in the business. What is theshare of M in the business now?

5. Four persons can complete a job in 8 days. After four days two persons have left the work. Howmany days would it take for the remaining persons to complete the work?

6. If a merchant offers a discount of 30% on the list price, then he makes a loss of 16%. What %profit of loss will the merchant make if he sells at a discount of 10% of the list price?

7. Samad was planning on depositing a certain amount of money each month into a bank. He thendecided not to make any contributions during May and June .To make the same annual contributiontake he had planned, by what percent should he increase his monthly deposit?

8. A motor covers 24 km upstream and 36 km downstream in 6 hours, while it covers 36 km upstreamand 24km downstream in 61/2 houTK. The velocity of the stream is?

9. A man rows to a place 48 km distant and back in 14 houTK. He finds that he can row 4 km withthe stream in the same time as 3 km against the stream. The rate of the stream is?

10. A man rows a boat from point A against current for 10 minutes and then come back with thecurrent for next 10 minutes and reaches to a point B. If distance between A and B is 1 km, findthe speed of the current.

11. A man rows boat to a place covering 72 km distance and back in 15 houTK. He finds that he

12. A Boat Can row 3 km with the stream in the same time as 2 km against the stream. Find the speedof the stream.

13. Two pipes P and Q can fill a cistern in 12 minutes and 16 minutes respectively. Simultaneouslyboth the pipes are opened together, then after how much time Q should be closed so that thetank is full in 9 min?

14. A leak in the lower portion of a tank can empty the full tank in 9 hTK. An inlet pipe fillswater at the rate of 10 lit. per minute. When the tank is full, the inlet is opened and dueto leak, the tank is empty in 16 hTK. How many litres does the cistern hold?

15. Two pipes P and Q can fill a cistern in 12 min. and 15 min. respectively but a third pipe ‘R’can empty the full tank in 6 min. P and Q are kept open for 5 min. in the beginning and then‘R’ is also opened. In what time is the cistern emptied?

16. If two pipes function together, the cistern will be filled in 6 houTK. One pipe fills thecistern 5 hours faster than the other. How many hours it take the second pipe to fill thecistern?

17. A and B entered into partnership with capitals in the ratio 4: 5. After 3 months, A withdrew1/4th of his capital and B withdrew 1/5th of his capital. The gain at the end of 10 months wastk. 760. What is A's share in this profit?

18. Tea worth tk. 126 per kg and tk. 135 per kg is mixed with a third variety in the ratio 1: 1:2. If the mixture is worth tk. 153 per kg, what will be the price of the third variety per kg?



19. A can contains a mixture of two liquids A and B is the ratio 7: 5. When 9 liters of mixtureare drawn off and the can is filled with B, the ratio of A and B becomes 7: 9. How many litersof liquid A was contained by the can initially?

20. A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The secondcontains 50% water. How much milk should he mix from each of the containers so as to get 12liters of milk such that the ratio of water to milk is 3: 5?

21. How many kilogram of sugar costing TK. 9 per kg must be mixed with 27 kg of sugar costing TK.7 per kg so that there may be a gain of 10% by selling the mixture at TK. 9.24 per kg?

22. A bank offers 5% compound interest calculated on half-yearly basis. A customer deposits tk.1600 each on 1st January and 1st July of a year. At the end of the year, what is the amount hewould have gained by way of interest?

23. Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6%of A and 8% of B. Find the ratio of A: B.

24. Samad went to the stationers and bought things worth tk. 25, out of which 30 paisa went onsales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax freeitems?

25. A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4km/hr, find the time taken by the boat to go 68 km downstream.

26. A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4hours to cover the same distance running downstream. What is the ratio between the speed ofthe boat and speed of the water current respectively?

27. A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distanceupstream. If the speed of the boat in still water is 10 mph, what is the speed of the stream?

28. A runs 1⅔ times as fast as B. If A gives B a start of 80 m, how far must the winning post beso that A and B might reach it at the same time?

29. A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling isequal to the sum of the areas of four walls, what is the volume of the hall?

30. A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of thepipe is 1 cm and iron weighs 8 g/cm3, then what is the weight of the pipe?

31. The ratio between the length and the breadth of a rectangular park is 3: 2. If a man cyclingalong the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, thenwhat is the area of the park (in sq. m)?

32. The diagonal of the floor of a rectangular closet is 7.5 feet. The shorter side of the closetis 4.5 feet. What is the area of the closet in square feet?

33. A time study specialist has set the production rate for each worker on a job at 22 units everythree houTK. At this rate, what is the minimum number of workers that should be put on the job,if at least 90 units are to be produced per hour?

34. If Salam makes a box every 5 minutes and Kalam takes 7 minutes to make a box, what will be theratio of the number of boxes produced by Salam to the number of boxes produced by Kalam if theywork for 5 hours and 50 minutes?

35. A man rows to a place 48 km distant and come back in 14 hours. He finds that he can row 4 kmwith the stream in the same time as 3 km against the stream. The rate of the stream is?

BCB Day 15

1. Worker W produces N units in 5 hrs, workers W and V working independently but at same timeproduces N units in 12 hTK. How long would it take V alone to produce N units?

2. A man & a boy together can complete a job in 81 days. Two men and three boys together cancomplete the job in 36 days. In how many days can 4 men working together complete the job?

3. In a group consisting of 40 people, 24 were female and the rest were male. Half of the memberswere smokers and the rest were non-smokeTK. If one-third of the female member were smokers,how many of the male members were non-smokers?



4. a, b, c, d &e are five consecutive numbers in increasing order of size . Deleting one of thefive numbers from the set decreased the sum of the remaining numbers in the set by 20%. Whichone of the numbers was deleted from .a, b, c, d & e?

5. During the next Tree plantation week a company is considering planting tree in line of its ownrectangular piece of land which is 90 feet long & 66 feet wide. The land surrounded by boundarywall of 5. It was also decided that the distance from one tree to anther in both row & columnwill be 4 feet. What is the maximum no. of tree can be planted on the land?

6. 2 men & 3 boys can do a piece of work in 10 days while 3 men & 2 boys can do the same work in8 days. In how many days can 2 men & 1 boy do the work?

7. Due to reduction of ¼ % in the price of sugar a man is able to buy 1 kg more for tk 120. Findthe original & reduced rate of sugar?

8. A survey showed that 63% of Bengali people like chicken whereas 76% like fish. If x% like bothfish & chicken then what is the range of x?

9. How many miles can a motor cyclist travel from 8:25am to 9:55am. At a speed of 820 miles perhour?

10. A father divides his property between his two sons A& B. A invests the amount at compoundprofit of 8% p.a. & B invests the amount at 10% p.a. at simple profit. At the end of 2 yearsthe profit received by B is tk 1336 more than the profit received by A. find the share of A inthe father’s property of tk 25000.

11. One day Mr. Wahid started 30 minutes late from home & reached his office 50 minutes late, whiledriving 25% slower than his usual speed. How much time in minutes does Mr. Wahid usually taketo reach his office from home?

12. In a flight of 600 km aircraft was slowed down due to bad weather. Its average speed for thetrip was reduced by 30 km/hr & the time of the flight increased by 1 hour. Find out the durationof the flight?

13. A workers buys some shirts & some ties. Shirts cost tk 70 each & the ties cost 30 tk each. Ifhe spends exactly tk 810 & buys the maximum number of shirts possible under these conditionsthe ratio of the shirts to ties is.

14. How many pairs of letters in the word 'CHAIRS' have as many letters between them in the wordas in the alphabet?

15. The diagonal of a rectangle is √41 cm and its area is 20 sq. cm. The perimeter of the rectangleis?

16. A student multiplied a number by 3/5 instead of 5/3, what is the percentage error in thecalculation?

17. A mixture contains alcohol and water in the ratio 4: 3. If 5 liters of water is added to themixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture.

18. A man walked diagonally across a square lot. Approximately, what was the percent saved by notwalking along the edges?

19. A sum of money lent at compound interest for 2 years at 20% per annum would fetch TK.482 more,if the interest was payable half yearly than if it was payable annually . The sum will be?

20. After replacing an old member by a new member, it was found that the average age of five membersof a club is the same as it was 3 years ago. What is the difference between the ages of thereplaced and the new member?

21. When 0.36 is written in simplest form, the sum of the numerator and the denominator is?22. Sequence of numbers are 1, 11, 21, 1211, 111221. What will be the next one in the above

sequence?

23. At 3.40, the hour hand and the minute hand of a clock form an angle of it?24. In a mixture 60 litres, the ratio of milk and water 2:1. If this ratio is to be 1:2, then the

quantity of water to be further added in the mixture?

25. A is 30% more efficient than B. How much time will they, working together, take to complete ajob which A alone could have done in 23 days?

26. The angle of elevation of the sun, when the length of the shadow of a tree √3 times the heightof the tree is?

27. What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?



28. A & B entered into partnership with capitals in the ratio 4:5. After 3 months a withdraw ¼ ofhis capital & B withdrew 1/5 of his capital. The gain at the end of 10 months was tk.760. A’sshare in this profit is?

29. A boat sailing against the current takes 8 hours to ravel 32 kms. While sailing with the currentit takes only 4 hours to travel the same distance. What is the speed of the current?

30. Azhar works thrice as much as Baten & is therefore able to finish a piece of work in 60 daysless than Baten. Find the time in which they can do it together.

31. If ½ x years ago samad was 12 & ½ x years from now he will be 2x years old, how old will he be3x years from now?

32. The speed of a railway engine is 42 km per hour when no compartment is attached & the reductionin speed is directly proportional to the square root of the number of compartments attached.If the speed of the train carried by this engine 24 km per hour when 9 compartments are attachedwhat is the maximum number of compartments that can be carried by the engine?

33. A dishonest merchant makes a 10% profit at the time of buying and a 5% loss at the time ofselling the goods he/she trades. By doing so if the said merchant made a profit of TK. 900 ona particular item, what was the real cost of the item sold?

34. A can do a piece of work in 10 days, while B alone can do it in 15 days. They work togetherfor 5 days and rest of the work is done by C in 2 days. If they get TK. 4,500 for the wholework, how should they divide the money?

35. Two trains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraphpost. If the length of each train be 120 metres, in whattime (in seconds) will they cross eachother travelling in opposite direction?

BCB Day 16

1. Due to reduction of 6.25% in the price of sugar, a man is able to buy 1 kg more for TK. 120.Find the original and reduce rate of sugar.

2. In a two-digit number, the digit in the unit`s place is more than twice the digit in ten`splace by 1. If the digits in the unit`s place and the ten`s place are interchanged, differencebetween the newly formed number and the original number is less than the original number by 1.What is the original number?

3. A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him1 hour to row to a place and come back, how far is the place?

4. A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the currentin 10 minutes. How long will it take to go 5 km in stationary water?

5. At a game of billiards, A can give B 15 points in 60 and A can give C to 20 points in 60. Howmany points can B give C in a game of 90?

6. The sum of ages of 5 children born at the intervals of 3 years each is 50 yeaTK. What is theage of the youngest child?

7. Present ages of Sameer and Anand are in the ratio of 5:4 respectively. Three years hence, theratio of their ages will become 11:9 respectively. What is Anand's present age in years?

8. The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?

9. The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 yearsolder. If the ages of these two are excluded, the average age of the remaining players is oneyear less than the average age of the whole team. What is the average age of the team?

10. Helpers are required to prepare cakes. Each helper can make either 2 large cakes or 35 smallcakes per hour. The kitchen is available for 3 hours and 20 large & 700 small cakes are requiredto be prepared. What is the minimum number of helpers are required to complete the task?

11. Marge has n candies, where n is an integer such that 20 < n< 50. If Marge divides the candiesequally among 5 children, she will have 2 candies remaining. If she divides the candies among6 children, she will have 1 candy remaining. How many candies will remain if she divides thecandies among 7 children?

12. Company C sells a line of 25 products with an average retail price of $1,200. If none of theseproducts sells for less than $420, and exactly 10 of the products sell for less than $1,000,what is the greatest possible selling price of the most expensive product?



13. When positive integer x is divided by 5, the remainder is 3; and when x is divided by 7, theremainder is 4. When positive integer y is divided by 5, the remainder is 3; and when y is

divided by 7, the remainder is 4. If x > y, which of the following must be a factor of x ‐ y?14. If p, x, and y are positive integers, y is odd, and p = x^2 + y^2, is x divisible by 4?

15. Machine A and Machine B are used to manufacture 660 sprockets. It takes machine A ten hourslonger to produce 660 sprockets than machine B. Machine B produces 10% more sprockets per hourthan machine A. How many sprockets per hour does machine A produce?

16. Workers are grouped by their areas of expertise, and are placed on at least one team. 20 areon the marketing team, 30 are on the Sales team, and 40 are on the Vision team. 5 workers areon both the Marketing and Sales teams, 6 workers are on both the Sales and Vision teams, 9workers are on both the Marketing and Vision teams, and 4 workers are on all three teams. Howmany workers are there in total?

17. When Professor Wang looked at the rosters for this term's classes, she saw that the roster forher economics class (E) had 26 names, the roster for her marketing class (M) had 28, and theroster for her statistics class (S) had 18. When she compared the rosters, she saw that E andM had 9 names in common, E and S had 7, and M and S had 10. She also saw that 4 names were onall 3 rosteTK. If the rosters for Professor Wang's 3 classes are combined with no student'sname listed more than once, how many names will be on the combined roster?

18. In a consumer survey, 85% of those surveyed liked at least one of three products: 1, 2, and 3.50% of those asked liked product 1, 30% liked product 2, and 20% liked product 3. If 5% of thepeople in the survey liked all three of the products, what percentage of the survey participantsliked more than one of the three products?

19. An aircraft uses 1680 gallons of fuel, the left tank uses 45%, the right tank uses 32.5%, howmuch was used by the centre tank?.

20. A certain right circular cylinder has a radius of 5 inches. There is oil filled in this cylinderto the height of 9 inches. If the oil is poured completely into a second right cylinder, thenit will fill the second cylinder to a height of 4 inches. What is the radius of the secondcylinder, in inches?

21. Water flows through a circular pipe of internal radius 10 cm at 5 m/s. If the pipe is alwaysthree-quarters full, find the volume of water discharged in 30 min.

22. An isosceles triangle has a base of 5.0 cm and the equal sides are each 6.5 cm long. Find allthe internal angles of the triangle and its vertical height.

23. A surveyor observes the angle of elevation of a building as 26◦. If the eye line of the surveyoris 1.8mabove horizontal ground and he is standing 16mfrom the building. What is the height ofthis building?

24. A man stands on the top of a hill 80m high in line with two traffic cones in the road below.If the angles of depression of the two traffic cones are 17◦ and 21◦. What is the horizontaldistance between them?

25. A cylindrical bar rests in a vee-block as shown in figure below. Determine the vertical heightof the vee-section (h) and the height (x) that the cylindrical bar is raised above the topsurface of the vee-block.

26. A man walking at 3 km/hr crosses a square field diagonally in 2 minuties. Area of the fieldis?

27. A man can hit a target once in 4 shots. If he fires 4 shots in succession what is the probabilitythat he will hit his target?

28. A’s office is 4 km due east of B’s office. C’s office is 6 km due north of B;s office and 4 kmdue east of D’s office. What is the straight-line distance in km from A’s office to D’s office?

29. The length of a rope, to wich a cow is tied, is increased from 19m to 30m. How much additionalground will it be able to graze? Assume that the cow is able to move on all sides with equalease.

30. A shopkeeper lost 7.5% by selling an articale. If he had bought it at 10% less and sold it forTk. 31 more he would have gained 20%. Find the cost price of the artical?

31. 7557256102 can be divided by32. A container of 64 ltr was full of milk. 16 ltr milk was drawn off and replace by water and this

process is repeated 2 times more find the quantity of water in the mixture now.



33. I saw a shirt for $97. I borrowed $50 from mom, and $50 from dad. I bought the shirt with $3of change. I gave $1 to mom, $1 to dad and kept $1 for myself. Now I owe my mom $49 and my dad$49. $49 + $49 = $98+ my $1 = $99. Where did the other $1 go?

34. In a lake, there is a patch of lily pads. Every day, the patch doubles in size. If it takes 48days for the patch to cover the entire lake, how long would it take for the patch to cover halfof the lake?

35. A watch which gains uniformly is 2 minutes low at noon on Monday and is 4 min. 48 sec fast at2 p.m. on the following Monday. When was it correct?

BCB Day 17

1. The average of 7 distinct positive integers is 16. What is the most amount of these numbersthat can be greater than 16?

2. A router is being sold at 20% loss price. If the selling price is 1000 tk more, then the sellercan make 5% profit. What is the buying/ actual price?

3. If the price of a banana decreases by 25%, then in 100 tk one can get 25 more bananas. What isthe current price of 1 dozen banana?

4. Arithmetic series: Which term of the series 5 +8 +11 +14 …… is 302?5. Pick the odd one out: 331, 482, 551, 263, 383, 242, 111.

6. How many different words can be formed taking three at a time from the letters of the ‘AMERICA’?7. If 3 men or 5 boys can do a work in 30 days, then 5 men and 4 boys together can do it in how

many days?

8. Two men together can do a work in 8 days. First man can do it in 12 days. In how many dayssecond man can alone to do it?

9. A work can done by Abdul in 45 minutes, and by babul by 30 minutes. In how many minutes theycan together do it?

10. During Air-raid, sirens at four different places of a town are rung at interval of 1, 1*1/4,1*1/2, 1*3/4 minutes respectively. If they ring together at the starting, when will they ringtogether again?

11. There are 8 job applicants sitting in a waiting room; 4 men and 4 women. If two of the applicantsare selected at random, what is the probability that both will be women?

12. If the average (arithmetic mean) of 16, 20 and n is between 18 and 21 inclusive, what is thegreatest possible value of n?

13. On decreasing the price of T.V sets by 30%, its sale is increased by 20%.What is the effect onthe revenue received by the shopkeeper?

14. A reduction of 21% in the price of wheat enables a person to buy 10.5 kg more for Tk. 100. Whatis the reduced price per kg?

15. A Company employs 15 persons, each working 44 hours a week. If 4 persons are absent, how manyhours a week would the rest of the persons have to work to make up the time lost?

16. Three workers can do a job in 12 days. Two of the workers work twice as fast as the third. Howlong would it take one of the faster workers to do the job alone?

17. A tank can be filled by a tap in 20 minutes and by another tap in 60 minutes. Both the tapsare kept open for 10 minutes and then the first tap is shut off. After this, the tank will becompletely filled in?

18. Two pipes A and B can fill a tank in 6 hours respectively. If they are opened on alternatehours and if pipe A is opened first, in how many hours the tank shall be full?

19. One pipe can fill a pool 1.25 times faster than a second pipe. When both pipes are opened, theyfill the pool in five houTK. How long would it take to fill the pool if only the slower pipeis used?

20. For making a cupboard it requires human labor three times the labor required to make a bench.Six carpenters can make 36 benches and 5 cupboards in 12 days. How many days will 10 carpentersrequire to make 61 benches and 8 cupboards?



21. Dipu works alone, he will take 20 more hours to complete a task than if he worked together withEnam. If Enam works alone, he will take 5 more hours to complete the task than if he workedtogether with Dipu. If they work together, how many hours do they need to complete the task?

22. Three workers can do a job in 20 days. Two of the workers work twice as the third. How longwould it take if one of the faster workers to do the job himself?

23. The sum of two numbers is 56.If three times of the smaller number is one-half of the largernumber, what is the larger number?

24. A batsman makes a score of 87 runs in the 17th innings and thus increase his average by 3.Findhis average after 17th innings?

25. Son's age is now one-third of father's age. In twelve years from now son's age will be one halfof the father's age. What is the son's age in years now?





30. Jamil bought 25 kg of rice at the rate of Tk 6 per kg and 35 kg of rice at the rate of Tk 7per kg. He mixed the two and sold the mixture at the rate of Tk 6.75 per kg. What was the gainor loss in the transaction?

31. By selling 8 dozen of pencils, a shopkeeper gains the selling price of 20 bananas. Find outhis gain percent.

32. The marked price of a radio is Tk 480. The shopkeeper allows a discount of 10% and gains 8%.If no discount is allowed, what will be his gain percentage?

33. Suppose you deposited Taka 10,000 on January 01, 2013 at 12.50% interest rate-for 1 year, onJuly 01, 2013 Taka 15000 at 12% interest rate for 6 months and on October 01, 2013 Taka 20000at 22.50% interest rate for 3 months (assume that the stated interest rates are simple andannual). Suppose you withdrew all deposits (include due interests) on December 31, 2013.Calculate the overall annual rate of interest you have received.

34. An automobile financier claims to be lending money at simple interest, but he includes theinterest every six months for calculating the principal. If he is charging an interest of 10%,the effective rate of interest becomes?

35. A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling isequal to the sum of the areas of four walls, the volume of the hall is?

BCB Day 18

1. A sum of Tk 725 is lent in the beginning of a year at a certain rate of interest. After 8months, a sum of Tk 362.50 more is lent but the rate twice the former. At the end of the year,Tk. 33.50 is earned as interest from both the loans. What was the original rate of interest?

2. If Karim’s income is X% more than Rahim’s income then Rahim’s income is less than Karim’sincome by (X/(100+X)×100)% .

3. Rahim can a work by 3 hours, Karim can the same work by 4 hours and Aman can the half work andAman’s working speed is as like as Karim’s working speed .85 tk wage given them. Find theirpart separately.

4. TK 936 will distribute among 13 women ,15 men and 12 boys .if 1 woman’s amount equal 3 boysamount and 1 man’s amount equal 2 women’s and 1boy’s amount .how much get every man ?

5. In a partnership business A , B and C’s capital ratio is 1/2 : 1/3 :1/4 .after 4 months Awithdraw his half capital and end of the year profit is 2024 tk .Now findout A’s profit .



6. TK 110 distribute among A, B and C in this way both B and C together get a part and A’s partis equal to 3/7 of B and C. And A and C get a part and B get 2/9 of A and C.

7. A, B and C invite 17 men for drinking tea .three partner are bear the cost equally. A gives7 person’s tea bill and B also gives 10 person’s bill and C gives 34 tk as a his cost .now givethis 34 tk between A and B .

8. An amount of loan allow for 4 years .4% and 5% interest rate for ist 2 years and next twoyears respectively .after 4 years capital plus interest would become 1416. Find initialcapital.

9. Few money at 6% I R would become 1300 (principal + interest) after 5 yeaTK. Find how many yearsneed for Tk 1390?

10. At 10.5% compound interest rate .find profit after 2 years, where principal amount tk 5000.11. A and B partner in a business .1/3 capital gives by A and engaged this amount for 9 months. B

gets 3/5 portion of profit .how many months engaged B’s capital in business.12. A and B separately take a loan at 10 % simple I R from a bank in a same day. A paid a amount

after 2 years, B also paid exactly same amount after 3 years .find ratio of their loan.

13. The Cost price of 20 articles is the same as the selling price of X articles. It the profit is25% then the value of X is:

14. The total number of digits used in numbering the pages of a book having 366 pages is:15. A father said to his son, “I was as old as you are at the present at the time of your birth”.

It the father’s age s 38 years now, the son’s age five years back was:16. The average of 20 numbers is zero of them at the most, how many may be greater than zero?17. What is the minimum number of tiles of size 16 by 24 required to form a square by placing the

tiles adjacent to one another?

18. In what ratio must a grocer mix two varieties of tea worth Tk. 60 @ by and Tk. 65 kg so thatby selling the mixture at Tk. 68.20 @ kg he may gain 10%?

19. A train 108m long moving at a speed of 50 km/h career a train 112m long coming from oppositedirection in 6 seconds. The speed of the second train is:

20. M is a girl and has the same number of brothers as sister as brotheTK. M and N are the childrenof Q. How many children does Q have?

21. A red light flashes 3 times per minute and a green light flashes 5 times in two minutes atregular intervals. It both lights start flashing at the same time, how many times do they flashtogether in each hour?

22. What percentage of numbers from 1 to 70 have squares that end in the digit 1?23. How many 3 digit numbers can be formed from the digits 2, 3, 5, 6, 7 & 9 which are divisible

by 5 and none of the digits is repeated?

24. A jar contains 4 red tooth picks, 10 blue toothpicks and 6 yellow toothpicks. It three toothpicksare removed from the bag at random and no toothpick is returned to the bag after removal, whatis the probability that all there toothpicks will be blue?

25. Bahi lines 2 miles west of Raju’s house. Rafiq lives 3 miles of Raju’s house and 2 miles westof from Bakis house to Diba’s house?

26. In a city, 40% of the people are illiterate and 60% are poor. Among the rich, 10% are illiterate.what percentage of the poor population is illiterate?

27. A and B ran, at their respective constant rates, a race of 480 m. In the first heat, A gives Ba head start of 48 m and beats him by 1/10th of a minute. In the second heat, A gives B a headstart of 144 m and is beaten by 1/30th of a minute. What is B’s speed in m/s?

28. Three workers, A, B, and C, can complete a certain task in 10, 5 and x hours respectively. Astarts working alone and 2 hours later B joins. After another 2 hours joins C. After that A,B, and C together complete the task in 15 minutes. What is the value of x?

29. A draining pipe can empty a pool in 4 houTK. On a rainy day, when the pool is full, the drainingpipe is opened and the pool is emptied in 6 houTK. If rain inflow into the pool is 3 litersper hour, what is the capacity of the pool?

30. Usually Holly leaves home to school at 9:00, however today she left home 20 minutes later. Inorder to be at school on time she increased her usual speed by 20% and still was at school 15minutes later than usual. What is her usual time from home to school?



31. A contractor estimated that his 10-man crew could complete the construction in 110 days ifthere was no rain. (Assume the crew does not work on any rainy day and rain is the only factorthat can deter the crew from working). However, on the 61-st day, after 5 days of rain, hehired 6 more people and finished the project early. If the job was done in 100 days, how manydays after day 60 had rain?

32. Of the applicants passes a certain test, 15 applied to both college X and Y. If 20 % of theapplicants who applied college X and 25% of the applicants who applied college Y applied bothcollege X and Y, how many applicants applied only college X or college Y?

33. This year Henry will save a certain amount of his income, and he will spend the rest. Next yearHenry will have no income, but for each dollar that he saves this year, he will have 1 + rdollars available to spend. In terms of r, what fraction of his income should Henry save thisyear so that next year the amount he was available to spend will be equal to half the amountthat he spends this year?

34. Fanny and Alexander are 360 miles apart and are traveling in a straight line toward each otherat a constant rate of 25 mph and 65 mph respectively, how far apart will they be exactly 1.5hours before they meet?


BCB Day 19

1. Machine A can process 6000 envelopes in 3 houTK. Machines B and C working together butindependently can process the same number of envelopes in 2.5 houTK. If Machines A and C workingtogether but independently process 3000 envelopes in 1 hour, then how many hours would it takeMachine B to process 12000 envelopes.

2. An empty swimming pool with a capacity of 75,000 liters is to be filled by hoses X and Ysimultaneously. If the amount of water flowing from each hose is independent of the amountflowing from the other hose, how long, in hours, will it take to fill the pool?

3. It takes 6 technicians a total of 10 hours to build and program a new server from DirectComputer, with each working at the same rate. If six technicians start to build the server at11:00 AM, and one technician per hour is added beginning at 5:00 PM, at what time will theserver be complete?

4. A, B and C enter into partnership. A invests some money at the beginning, B invests double theamount after 6 months and C invests thrice the amount after 8 months. If the annual profit beTk. 18000, c’s share is:

5. There are 200 questions on a 3-hour examination. Among these questions 50 are mathematicsproblems. It is suggested that twice as much time be spent on each math problem as for eachother question. How many minutes should be spent on mathematics problems?

6. A rectangular carpet covers half of a rectangular floor that is 9 feet wide and 12 feet long.If the dimensions of the carpet are in the same ratio as those of the floor, then what is thelength of the carpet?

7. If x is not a negative number, what is the maximum possible value of 22- 3x?

8. The longest side of an isosceles right triangle measures 16 meter. What is the perimeter ofthe triangle? MTB MTO-13 According to pithagoras

9. In a class of 40 students, the number of students who passed the math exam is equal to halfthe number of students who passed the science exam. Each students in the class passed at leastone of the two exams. 5 students passed both exams, then how many students passed the mathexam?

10. A tank is fitted with 8 pipes, some of them that fill the tank and others that are waste pipemeant to empty the tank. Each of the pipes that fill the tank can fill it in 8 hours, whileeach of those that empty the tank can empty it in 6 houTK. If all the pipes are kept open whenthe tank is full, it will take exactly 6 hours for the tank to empty. How many of these arefill pipes?

11. In how many ways can Annie, Bushra, Camellia, Don, Elina and Farzana be seated if Annie andBushra cannot be seated next to each other?



12. During the next Tree Plantation Week, A bank is considering planting trees in one of itsrectangular piece of land which is 90 feet long and 66 feet wide. The field is surrounded byboundary wall of 5 feet height. It has been decided that trees will be planted leaving 5 feetland free from the wall in all four sides. It was also decided that the distance from one treeto another in both row and column will be 4 feet. What is the maximum number of trees that canbe planted in the land?

13. A student has to obtain 33% of the total marks to pass. He got 125 marks and failed by 40 marks.The maximum marks are?

14. When a producer allows 36% commission on the retail price of his product, he earn a profit of8.8%.what would be his profit % if the commission is reduced by 24%?

15. 2 men and 3 boys can do a piece of work in 10 days while 3 men and 2boys can do the same workin 8 days. In how many days can 2 men and 1 boy do the work?

16. The cost price of 20 articles is the same as the selling price of x articles. If the profit is25%, then the value of x is?

17. At what profit % must an article be sold so that by selling at half that price, there may be aloss of 30%?

18. A contractor employed 30 men to do a piece of work in 38 days. After 25 days, he employed 5men more and the work was finished one day earlier. How many days he would have been behind,if he had not employed additional men?

19. The diagonal of a square is 4√2 cm. The diagonal of another square whose area is double thatof the first square, is?

20. The ratio of the number of boys and girls in a school is 3:2.If 20% of the boys and 25% of thegirls are scholarship holders, what % of the students does not get the scholarship?

21. The speed of a railway engine is 42 km per hour when no compartment is attached and thereduction in speed directly proportional to the square root of the number of compartmentattached. If the speed of the train carried by this engine is 24 km per hour when 9 compartmentsare attached .What is the maximum number of compartments that can be carried by this engine?

22. The speed of a railway engine is 64 km/h when no compartment is attached, and the reduction inspeed directly proportional to the sq√ of the no of compartments attached. If the spd of thetrain carried by this engine is 40 km per hr when 36 compartments are attached, what is themaximum no. of compartments that can be carried by engine?

23. Suppose you deposited Tk 10000 on January 1. 2012 at 12.50% interest rate for 1 year. On July1 2013 Tk 15000 at 12% interest rate for 6 months and on October 1 2013 Tk 20000 at 11.5%interest rate for 3 months (assume that the stated interest rates are simple and annual).Suppose you withdrew all deposits including due interests on December 31. 2013. Calculate theoverall annual rate of interest you have received?

24. A dessert recipe calls for 50% melted chocolate and 50% raspberry puree to make a particularsauce. A chef accidentally makes 15 cups of the sauce with 40% melted chocolate and 60%raspberry puree instead. How many cups of the sauce does he need to remove and replace withpure melted chocolate to make the sauce the proper 50% of each?

25. A drink contains 20% cranberry juice, 20% raspberry juice and the rest is apple juice. Youneeded 250 ml water in 750 ml of the drink. Now what is the ratio of water to apple juice inthe drink?

26. Four friends R,G,S,N purchased a toy train .R contribute half that of total contribution madeby other three and G is one fourth of other three and S is two third of the other threes. Iftotal price of the toy train is tk.9900. Find contribution made by R?

27. A person travels from x to y at a speed of 40km/p and returns by increasing his speed by 50%.What is his average speed for both trips?

28. A train travelling at 48km/h completely crosses another train having half its length andtravelling in opposite direction at 42 km/h, in 12 second. It also passes a railway platformin 45 second. What is the length of the platform?

29. In an election between two candidates, 10% of the voters did not cast their vote. 10% of thevotes polled were found invalid. The successful candidates got 54% of the valid votes and wonby a majority of 1620 votes. Find the number of voters enrolled on the voters list.

30. Of the 300 subjects who participated in an experiment using virtual-reality therapy to reducetheir fear of heights, 40 percent experienced sweaty palms, 30 percent experienced vomiting,



and 75 percent experienced dizziness. If all of the subjects experienced at least one of theseeffects and 35 percent of the subjects experienced exactly two of these effects, how many ofthe subjects experienced only one of these effects?

31. A dishonest businessman makes a profit 10% both on buying and selling of a commodity .if hisprofit is tk 1050 .what is the cost price of the commodity?

32. A train crosses a platform 100 meters long in 60 seconds at a speed of 45 km per hour. The timetaken by the train to cross an electric pole is?

33. Two trains of equal length are running on parallel lines in the same direction at 46 km/hr.and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each trainis?

34. A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but areforced to leave after 3 days. The remaining work was done by A in how many days?

35. 50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the averagedisplacement of water by a man is 4 m3, then the rise in the water level in the tank will be?

BCB Day 20

1. The cost, in taka, of manufacturing x microwaves is 6000+ 300x taka. The amount received whenselling these x microwaves is 700x taka. What is the least number of microwaves that must bemanufactured and sold so that net profit is taka 2400?

2. Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbersis?

3. A square office, 1000 feet by 1000 feet, is to be partitioned into two offices by a singleinterior wall. The difference between the perimeters of the resulting two officers is 400 feet.What are their dimensions?

4. A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneouslyfill the tank in the same time during which the tank is filled by the third pipe alone. Thesecond pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the thirdpipe. The time required by the first pipe is?

5. A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middleof the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq.m, then what is the width of the road?

6. The length of a rectangular plot is 20 meters more than its breadth. If the cost of fencingthe plot at 26.50 per meter is Tk. 5300, what is the length of the plot in meters?

7. A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If thearea of the field is 680 sq. feet, how many feet of fencing will be required?

8. A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is theprobability that none of the balls drawn is blue?

9. In a club the ratio of men and women is 16:7. The ratio of married men and married women is4:3. Calculate the percentage of married men if 60% of the women are married.

10. A two-digit number is such that the product of the digits is 8. When 18 is added to the number,then the digits are reversed. The number is?


12. Two varieties of sugar are mixed in a certain ratio. The cost of the mixture per kg is tk 0.05less than that of the superior variety and tk 0.75 more than that of the inferior variety.What was the ratio of superior variety to inferior variety in the mixture?

13. For an item the profit is 40% when the discount is 30%. What is the profit when the discountis 40%?

14. A man traveled one-fourth of the total distance of his trip by car. He traveled the remainingdistance on foot. The ratio of his walking time to driving time was 15:1. Calculate the ratioof his driving speed to his walking speed.

15. A train travels from New York to Chicago, a distance of approximately 840 miles, at an averagerate of 60 miles per hour and arrives in Chicago at 6:00 in the evening Chicago time . At what



hour in the morning ,New York city time ,did the train depart for Chicago?( note- Chicago timeis one hour earlier than New York city time)

16. A shopkeeper makes a loss of 12% by selling an item at 80% of its marked price. What will bethe percent profit made by the shopkeeper if he sells the item at 95% of its marked price?

17. In a 100 m race, Jami beats Rony by 4 sec .If Jami allowed Rony to start 16m ahead of him, andthen Jami and Rony reach the finishing point at the same time. How long does Jami take to runthe 100 in race?

18. From 7:00 AM to 11:00 AM it rained 2.25 inches. At 11:00 AM the rain increased to fall at arate of 1.25 inches every two houTK. How many inches of rain landed of the ground by 5:00 PM?

19. Of the 50 students in a college, 32 are enrolled in Psychology class and 37 are enrolled inLogic. If 6 of the students did not enroll in either class, how many of the students are inonly one of these two classes?

20. In a class, 120 students are finance major & 100 students are marketing major. 25% of thefinance students & 20% of the marketing students are male. 20% of the male finance students &25% of the male marketing students passed the final exam. What percentage of male studentspassed the exam?

21. A 4 liter oil can costs tk. 200. If the price of oil increases by a half percent, how much willtwo 4 liters cans cost?

22. A car uses one liter of petrol to travel 17 miles. After a tune-up, the car travels 17% fartheron one. How many liters of petrol (to the nearest tenth) will it take for the car to travel170 miles after a time?

23. The mile meter of a car misses every eleventh mile being traveled. After a certain time, themeter shows that 1251 miles were travelled. How many miles were actually traveled?

24. X sells a product to Y and makes a profit of 25%. Y sells it to Z at a loss of 20%. If Z buysit for tk. 140, what price X paid for it?

25. A woman buys a pound of steak for $3.00. If the meat loses one-fourth of its weight when cooked,what is the cost per pound when it is served at the table?

26. A woman was thirty years old when her daughter born. Her age is now 6 years more than threetimes her daughter’s age. How old will be the daughter in 5 years?

27. A man takes twice as long to row a distance against the stream as to row the same distance infavor of the stream. The ratio of the speed of the boat (in still water) and the stream is?

28. You have a rifle with only three bullets by which you have to shoot down a helicopter. You willshoot the bullets one after another .the probability of the first bullet to hit it is 90% andthose of 2nd and 3rd one is 80% and 70% respectively. What is the probability that the helicopterwill be shot down?

29. One fifth of the products made by a company are defective. Four-fifth of the defectives wasrejected and one-twentieth of the products were rejected by mistake. What percent of theproducts sold by the company is defective?


31. One pipe can fill a tank three times as fast as another pipe. If together the two pipes canfill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in?

32. In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by?33. A cask initially contains pure alcohol up to the brim. The cask can be emptied by removing

exactly 5 liters at a time. Each time this is done, the cask must be filled back to the brimwith water. The capacity of the cask is 15 liteTK. When the cask is completely emptied andfilled back to the brim two times, what is the ratio of alcohol to water in the cask?

34. Three times the first of three consecutive odd integers is 3 more than twice the third. Thethird integer is?

35. A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners,a square is cut off so as to make an open box. If the length of the square is 8 m, the volumeof the box (in m3) is?



BCB Day 21

1. Joan started work 2 years ago. Her starting salary was half of Mike’s salary at that time. Eachyear since then Joan and Mike have received a rise of 10% in their respective salary. Whatpercentage (to the nearest percent) of Mike’s current salary is Joan’s current salary?

2. Three candidates contested an election and received 1136, 7636 and 11628 votes respectively.What percentage of the total votes did the winning candidate get?

3. Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbersis?

4. A square office, 1000 feet by 1000 feet, is to be partitioned into two offices by a singleinterior wall. The difference between the perimeters of the resulting two officers is 400 feet.What are their dimensions?

5. Alim and Badrul enter into a partnership and invest Tk. 10,000 in the partnership. At the endof 4 months he withdraws Tk. 2,000. At the end of another 5 months, he withdraws another Tk.3,000. If Badrul receives Tk. 9,600 as his share of the total profit of Tk. 19,000 for theyear, how much did Badrul invest in the company?

6. Mr. Jitun purchased a house for tk. 1000000 in 2005. He spent Tk. 100000 for routine maintenanceand upkeep of the house. In 2009, he sold out the house for 25% more than what h paid for it.He paid 5% of sale proceeds as gain tax. And he had pay 50% of his net profit to the broker.What was net income?

7. a, b, c, d and e are five consecutive numbers in increasing order of size. Deleting one of thefive numbers from the set decreased the sum of remaining numbers in the set by 20% of the sumof all five numbeTK. Which one of the numbers was deleted from a, b, c, d and e?

8. A farmer borrowed 500 taka at 5% interest and couple of months later he borrowed 400 taka at3.5% again. After 6 month of 2nd borrowing he settled both loans by paying total 994.50 taka.Find out how much time did the farmer take to settle his 1st loan?

9. 2pipes A & B can fill a tank in 36 minutes and 45 minutes respectively. Waste pipe C can emptythe tank in 30min. first A &B is opened. After 7 mins, C is also opened. In how much time thetank is full?

10. A train which travels at uniform speed due to some mechanical fault after traveling for an hourgoes at 3/5th of the original speed and reached the destination 2 hours late. If the fault hadoccurred after 50 miles, they would have reached 40 minutes earlier. What is the distancebetween the stations?

11. A team of 2 men and 5 women completed one-fourth of the job in 3 days. After 3 days, anotherman joined and they took 2 days to complete another one-fourth of job. How many men can completethe whole job in 4 days?

12. An article is sold at 20% profit. If its cost price is increased by tk. 50 and at the same timeif its selling price is also increased by tk. 30, the percentage of profit decreases by 10/3.Find the cost price.

13. In a factory there are three types of Machines M1, M2 and M3 which produces 25%, 35% and 40%of the total products respectively. M1, M2 and M3 produce 2%, 4% and 5% defective products,respectively. What is the percentage of non-defective products?

14. A child has three different kinds of chocolates costing TK.2, TK.5, TK.10. He spends total TK.120 on the chocolates. What is the minimum possible number of chocolates he can buy, if theremust be at least one chocolate of each kind?

15. In an examination, a student gets 38% of the maximum marks and fails by 6 marks. Another studentwho gets 45 % of the maximum marks gets 15 marks more than required passing percentage. Findpassing percentage of the marks.

16. In a class of 150 students, 90 students have taken F, 75 students have taken B, and 55 studentshave taken E. 10 students have taken F and E but not B, 15 students have taken F and B but notE, and 25 students have taken B and E but not F. Find the number of students who have takenall the three courses.

17. In a group of students, 80% of the students weigh less than 60 kg and a total of 32 studentsweigh less than 50 kg. If 60% of the students weigh at least 50 kg, how many of the studentsweigh at least 50 kg but less than 60 kg?



18. Weights of two friends Ram and Shyam are in the ratio 4:5. If Ram's weight is increased by 10%and total weight of Ram and Shyam become 82.8 kg, with an increase of 15%. By what percent didthe weight of Shyam has to be increased?

19. The taxi cab charges tk.4.60 for the first 0.2 mile of a trip & tk.1.20 for each 0.2 of a mileor a part thereof. If the trip is 2.5 miles one way & the waiting charge is tk.7.50 for 30minutes or part thereof. What will be the fare for a round trip if the passenger waited for 70minutes?

20. Two varieties of sugar are mixed in a certain ratio. The cost of the mixture per kg is Tk 0.50less than that of the superior variety & Tk 0.75 more than that of the inferior variety. Whatwas the ratio of superior variety to inferior variety in the mixture?

21. In a production lot 40% toys are red and the remaining is green. Half of the toys are smalland half are large. 10% of the toys are red & small and 30 toys are green and large. How manytoys are red and large?

22. A bucket contains a mixture of two liquids A & B in the proportion 5: 3. If 16 liters of themixture is replaced by 16 liters of liquid B, then the ratio of the two liquids becomes 3: 5.How much of the liquid B was there in the bucket?

23. In a garden there are 10 rows and 12 columns. The distance between any two of the trees is 2m. and a distance of 1 m is left from all sides of the boundary of the garden. What is thelength of the garden?

24. if one-third of the funds of an endowment was invested in stocks, and of the other two-thirds25% each was invested in bonds and in mutual fund, and the residual amount of taka 60000 wasinvested in Treasury bills , what was the total size of the endowment?

25. A farmer has 2 rectangular fields. The larger field has twice the length and 4 times the widthof the smaller field. If the smaller field has area of K, then the area of the larger field isgreater than the area of the smaller field by what amount.

26. A house owner was having his house painted. He was advised that he would require 25kg of paint.Allowing for 15percent wastage and assuming that the paint is available in 2kg cans, what wouldbe the cost of paint purchased if one can cost tk.16?

27. In a country, 60% of the male citizen and 70% of the female citizen are eligible to vote.70%of the male citizen eligible to vote cast their vote and 60% of the female citizen eligible tovote cast their vote. What fraction of the citizens voted during the election?

28. A,B & C enter into a partnership by investing in the ratio of 3:2:4. After one year, B investsanother Tk 2,70,000 & C, at the end of 2 years, also invests Tk 2,70,000. At the end of threeyears, profits are shared in the ratio of 3:4:5. Find the initial investment of each.

29. There are 200 questions on a 3 hour examination. Among these questions 50 are mathematicsproblems. It is suggested that twice as much time be spent on each math problem as for eachother question. How many minutes should be spent on mathematics problems?

30. Suppose you deposited tk. 10000 on January 01, 2012 at 12.5% interest rate for 1 year, on July01, 2013 tk. 15000 at 12% interest rate for 6 months and October 01, 2013 tk. 20000 at 22.5%interest rate for 3 months (assume that the stated interest rate are simple and annual).,Suppose you withdrew all deposits (including due interest) on December 31, 2013. Calculate theoverall annual rate of interest you have received.

31. Last year the ratio of salary x & y was 1:2 & that of x and z was 1:3. The year everyone gotan increment of tk. 1000. If z is now drawing tk. 25000, what is the salary in tk. of y thisyear?

32. Three classes X, Y, Z take an algebra test. The average score in class X is 83. The averagescore in class Y is 76. The average score in class Z is 85. The average score of all studentsin classes X and Y together is 79. The average score of all students in classes Y and Z togetheris 81. What is the average for all three classes?

33. In a shop 40% socks are white and rest are black.60% socks r made of cotton and rest made ofwool 25% white socks r made of cotton and 20 of the black socks of made of wool. How many blacksocks are made of cotton?

34. The taxicab charges Tk 4.60 for the first 0.2 miles of trip and Tk.1.20 for each of 0.2 of amile or apart thereof. If the trip is 2.5 miles one way and the waiting charge is tk.7.50 for30 minutes or part thereof .what will be the fare for a round trip if the passenger waited for70 minutes?



35. The compound interest on a certain sum for 2 years at 10% per annum is Rs. 525. The simpleinterest on the same sum for double the time at half the rate percent per annum is?

BCB Day 22

1. Solution A is 20% salt and Solution B is 80% salt. If you have 30 ounces of solution A and 60ounces of solution B, in what ratio could you mix Solution A with Solution B to produce 50ounces of a 50% salt solution?

2. A man starts from L to M, another from M to L at the same time. After passing each other theycomplete their journey in 3 1/3 hours and 4 4/5 hours respectively. Find the speed of thesecond man if the speed of the first is 24 km/hr?

3. A hare makes 9 leaps in the same time as a dog makes 5. But the dog’s leap is 2m while hare’sis only 1 m. How many leaps will the dog have to make before catching up with the hare if thehare has a head start of 16 m?

4. A train left station A for station B at a certain speed. After travelling for 100 km, the trainmeets with an accident and could travel at 4/5 th of the original speed and reaches 45 minuteslate at station B. Had the accident taken place 50 km further on, it would have reached 30minutes late at station B. What is the distance between station A and B?

5. A train leaves Dhaka at 6 a.m and reaches Rajshahi at 10 a.m. Another train leaves Rajshahi at8 a.m and reaches Dhaka at 11.30 a.m. At what time do the two trains cross one another?

6. Two trains start at the same time from two stations and proceed towards each other at the speedof 15 km and 20 km per hour respectively. When the trains meet, it is found that one train hastravelled 50 km more than the other. Find the distance between the two stations.

7. In a circular race of 1200 m length, A and B start with speeds of 18kmph and 27 kmph startingat the same time from the same point. When will they meet for the first time at the startingpoint when running in the same direction and opposite direction?

8. The current of a stream runs at 1km/hr. A motor boat goes 35 km. upstream and back again tothe starting point in 12 houTK. The speed of motor boat in still water is?

9. The length of a rectangular plot is 20 meters more than its breadth. If the cost of fencingthe plot @ 26.50 per meter is tk. 5300, what is the length of the plot in meters?

10. Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes, and 10minutes respectively. When the tank is empty, all the three pipes are opened. A, B and Cdischarge chemical solutions P, Q and R respectively. What is the proportion of the solution Rin the liquid in the tank after 3 minutes?

11. A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneouslyfill the tank in the same time during which the tank is filled by the third pipe alone. Thesecond pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the thirdpipe. What is the time required by the first pipe?

12. Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallonsper minute. All the three pipes working together can fill the tank in 15 minutes. What is thecapacity of the tank?

13. Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipesare opened together but after 4 minutes, pipe A is turned off. What is the total time requiredto fill the tank?

14. In a class, there are 15 boys and 10 girls. Three students are selected at random. What is theprobability that 1 girl and 2 boys are selected?


16. There are 8 job applicants sitting in a waiting room; 4 men and 4 women. If two of the applicantsare selected at random, what is the probability that both will be women?

17. If the average (arithmetic mean) of 16,20 and n is between 18 and 21 inclusive, what is thegreatest possible value of n?

18. If the individual marks of all the students are arranged in increasing order, which of thefollowing is a possible mark for the 36th position?



19. In a group of 5 men, no 2 men have the same age. The eldest man is 50 years old, and theyoungest 30 years old. If X years is the average age of the men in the group, which of thefollowing best indicates all and only possible value of X?

20. On decreasing the price of T.V sets by 30%,its sale is increased by 20%.What is the effect onthe revenue received by the shopkeeper?



23. Three workers can do a job in 12 days. Two of the workers work twice as fact as the third. Howlong would it take one of the faster workers to do the job alone?

24. A tank can be filled by a tap in 20 minutes and by another tap in 60 minutes. Both the tapsare kept open for 10 minutes and then the first tap is shut off. After this, the tank will becompletely filled in?

25. Two pipes A and B can fill a tank in 6 hours respectively. If they are opened on alternatehours and if pipe A is opened first, in how many hours the tank shall be full?


27. For making a cupboard it requires human labor three times the labor required to make a bench.Six carpenters can make 36 benches and 5 cupboards in 12 days. How many days will 10 carpentersrequire to make 61 benches and 8 cupboards?

28. Dipu works alone, he will take 20 more hours to complete a task than if he worked together withEnam. If Enam works alone, he will take 5 more hours to complete the task than if he workedtogether with Dipu. If they work together, how many hours do they need to complete the task?



31. A train went 300 miles from X to city Y at an average speed of 80 mph.At what speed did ittravel on the way back if its average speed for the whole trip was 100 mph?

32. The current of stream runs at 1 km/h.A motor boat goes 35 km upstream and back again to thestarting point in 12 houTK. The speed of the motor boat in still water is?


34. A boat travels for three hours with a current of 3 mph and then returns the same distanceagainst the current in four hours. What is the boat's speed?

35. Two pipes A and B can fill a cistern in 37 minutes and 45 minutes respectively. Both pipes areopened. The cistern will be filled in just half an hour, if the B is turned off after?

BCB Day 23


2. The sum of two numbers is 15 and sum of their squares is 113.The numbers are?



5. Drum X is 1/2 of oil and drum Y has twice the capacity of drum X, is 2/3 full of oil. If allthe oil in drum X is poured into drum Y, then drum Y will be filled to what fraction of itscapacity?



6. One dozen eggs & ten pounds of apples are currently at the same price level. If the price of adozen eggs rises by 20% & the price of ten pounds of apples goes up by 2%, how much more willit cost to buy a dozen eggs & ten pounds of apples?

7. A can complete a piece of work in 4 days. B takes double the time Taken by A, C takes doublethat of B, and D takes double that of C to complete the same task. They are paired in a groupof two each. One pair takes two thirds the time needed by the pair to complete the work. Whichis the first pair?

8. A seller bought some pens at a rate of tk. 5 for tk. 100. They were separated in to stacks,one of which was sold at a rate of 3 for tk. 100 and the other at a rate of 6 for tk. 100.Whatwas the ratio of the number of pens in the two stacks if the seller made no overall profit orloss?

9. Two numbers when divided by a certain devisor leave remainders of 271 and 159 respectfully.When the sum of these two numbers is divided by the same divisor, the reminder is 147. What isthe divisor?

10. There are four women and 4 men sitting in a waiting room for job. If two of the applicants areselected at random, what is the probability that both will be women?

11. Two cyclists start biking from the starting point of a trail3 hours apart. The second cyclisttravels at 10 miles per hour and starts 3 hours after the first cyclist who is traveling at 6miles per hour. How much time will pass before the second cyclist catches up with the firstfrom the time the second cyclist started biking?

12. 200 children came to the park last Sunday. All of the older children rode bicycles into thepark and all of the younger children came on tricycles. 480 Wheels rode into the park that day,all of them functioning on the children`s bicycles of tricycles. How many younger children camein to the park last Sunday?

13. In covering a distance of 30 km, A takes 2 hours more than S. If A doubles his speed, then hewould take 1 hour less than S. A`s speed is?

14. A border of uniform width is placed around a rectangular photograph that measures 8 inches by10 inches. If the area of the border is 144 square inches, what is the width of the border, ininches?

15. Before the budget, a businessmen had increased the price of his product by 12%. In the budget,a 10% sales tax (to be paid by the seller) was imposed on that product. As a result, the profitultimately increased by 64. What was the original selling price?

16. 7 kg of mango cost as 10 kgs of apple and 1 kgs of orange. 7 kgs of orange cost as much as 1kgs of apple can be purchased by the amount of money required to purchase 12 kgs of mango?

17. Sterling silver is 92% pure silver. How many grams of sterling silver must be mixed to a 90%silver alloy to obtain a 500g of a 91% silver alloy?

18. Monika purchesed a pressure cooker at 9/10th of its selling price and sold it at 8% more thanits S.P .find her gain percent.

19. The price of the jewel,passing through three hands,rises on the whole by65%.if the first andthe second sellers 20%and25% profit respectively find the percentage profit earned by the thirdseller.

20. The percentage profit earned by selling an article for TK. 1920 is equal to the percentage lossincurred by selling the same article for TK. 1280. At what price should the article be sold tomake 25% profit?

21. On selling 17 balls at TK. 720, there is a loss equal to the cost price of 5 balls. The costprice of a ball is:

22. A trader mixes 26 kg of rice at TK. 20 per kg with 30 kg of rice of other variety at TK. 36per kg and sells the mixture at TK. 30 per kg. His profit percent is:

23. A man bought apples at the rate of 8 for TK.34 and sold them at the rate of 12 for TK.57. Howmany apples should be sold to earn a net profit of TK. 45?

24. A shopkeeper sold an article for TK.2564.36. Approximately what was his profit percent if thecost price of the article was TK.2400?

25. A fruit seller purchases oranges at the rate of 3 for TK.5 and sells them at 2 for TK.4. Hisprofit in the transaction is ans 20%



26. Mr.Jones gave 40% of the money he had to his wife. he also gave 20% of the remaining amount tohis 3 sons. half of the amount now left was spent on miscellaneous items and the remainingamount of TK.12000 was deposited in the bank. how much money did Mr.jones have initially?

27. The population of a town is 18000. It increases by 10% during 1st year and by 20% during the2nd . The population after 2 years will be:

28. Ina library 20% books are in Hindi, 50% of theremianing are in English and the remaining 9000are in various other languages. What is the total number of books in English?

29. A house owner was having his house painted. He was advised that he would require 25kg of paint.Allowing for 15% wastage and assuming that the paint is available in 2 kg cans, what would bethe cost of pain purchased, if one can cost TK.16?

30. A reduction of 12.5% in the price of a dining table brought down it sprice to TK.4375, theoriginal price (in TK.) of the table was: TK.5,000

31. Father is aged three times more than his son Sunil. After 8 years, he would be two and a halftimes of Sunil's age. After further 8 years, how many times would he be of Sunil's age?

32. Ayisha's age is 1/6th of her father's age. Ayisha's father's age will be twice the age ofShankar's age after 10 yeaTK. If Shankar's eight birthdays was celebrated two years before,then what is Ayisha’s present age?

33. My brother is 3 years elder to me. My father was 28 years of age when my sister was born whilemy mother was 26 years of age when I was born. If my sister was 4 years of age when my brotherwas born, then what was the age my father when my brother was born?

34. The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cyclingalong the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, thenwhat is the area of the park (in sq. m)?


BCB Day 24

1. It is decided to construct a 2 metre broad pathway around a rectangular plot on the inside. Ifthe area of the plots is 96 sq.m. and the rate of construction is TK. 50 per square metre.,what will be the total cost of the construction?

2. A circle is inscribed in an equilateral triangle of side 24 cm, touching its sides. What isthe area of the remaining portion of the triangle?

3. The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 yearsolder. If the ages of these two are excluded, the average age of the remaining players is oneyear less than the average age of the whole team. Find out the average age of the team.

4. A banker paid TK.5767.20 for a bill of TK.5840, drawn of Apr 4 at 6 months. If the rate ofinterest was 7%, what was the day on which the bill was discounted?

5. A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4hours to cover the same distance running downstream. What is the ratio between the speed ofthe boat and speed of the water current respectively?

6. Tap 'A' can fill the tank completely in 6 hrs while tap 'B' can empty it by 12 hTK. By mistake,the person forgot to close the tap 'B', As a result, both the taps, remained open. After 4 hrs,the person realized the mistake and immediately closed the tap 'B'. In how much time nowonwards, would the tank be full?

7. At his usual rowing rate, Rahul can travel 12 miles downstream in a certain river in 6 hoursless than it takes him to travel the same distance upstream. But if he could double his usualrowing rate for his 24-mile round trip, the downstream 12 miles would then take only one hourless than the upstream 12 miles. What is the speed of the current in miles per hour?

8. A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The secondcontains 50% water. How much milk should he mix from each of the containers so as to get 12litres of milk such that the ratio of water to milk is 3:5?



9. 8 litres are drawn from a cask full of wine and is then filled with water. This operation isperformed three more times. The ratio of the quantity of wine now left in cask to that of thewater is 16 : 65. How much wine did the cask originally hold?

10. Suresh started a business with TK.20,000. Kiran joined him after 4 months with TK.30,000. After2 more months, Suresh withdrew TK.5,000 of his capital and 2 more months later, Kiran broughtin TK.20,000 more. What should be the ratio in which they should share their profits at theend of the year?

11. A, B and C jointly thought of engaging themselves in a business venture. It was agreed that Awould invest TK. 6500 for 6 months, B, TK. 8400 for 5 months and C, TK. 10,000 for 3 months. Awants to be the working member for which, he was to receive 5% of the profits. The profitearned was TK. 7400. What is the share of B in the profit?

12. In a competitive examination in state A, 6% candidates got selected from the total appearedcandidates. State B had an equal number of candidates appeared and 7% candidates got selectedwith 80 more candidates got selected than A. What was the number of candidates appeared fromeach state?

13. In a certain school, 20% of students are below 8 years of age. The number of students above 8years of age is 23 of the number of students of 8 years of age which is 48. What is the totalnumber of students in the school?

14. Q as a percentage of P is equal to P as a percentage of (P + Q). Find Q as a percentage of P?15. Arun borrowed a certain sum from Manish at a certain rate of simple interest for 2 yeaTK. He

lent this sum to Sunil at the same rate of interest compounded annually for the same period.At the end of two years, he received TK. 2400 as compound interest but paid TK. 2000 only assimple interest. Find the rate of interest.

16. Find the annual dividend received by Nishita from 1200 preferred shares and 3000 common sharesboth of par value TK. 50 each if the dividend paid on preferred shares is 10% and semi-annualdividend of 3½ % is declared on common shares.

17. A man invested TK. 26000 in 5% stock at 104. He sold the stock when the price rose to TK. 120and invested the sale proceeds in 6% stock. By doing this his income increased by TK. 2500. Atwhat price did he purchase the second stock?

18. A company has issued 500 preferred shares and 400 common shares both of par value TK. 100 each.The dividend on a preferred share and a common share is 8% and 12%, respectively. The companyhad a total profit of 150000 rupees out of which some amount was kept in reverse fund and theremaining disturbed as dividend. Find the amount kept in reserve fund.

19. There are two buildings P and Q. If 15 persons are sent from P to Q, then the number of personsin each building is the same. If 20 persons are sent from Q to P, then the number of personsin P is double the number of persons in Q. How many persons are there in building P?

20. There are 6 working days in a regular week and for each day, the working hours are 10. A manearns TK. 2.10 per hour for regular work and TK. 4.20 per hour for overtime. If he earns TK.525in 4 weeks, how many hours did he work?

21. John gets on the elevator at the 14th floor of a building and rides up at the rate of 84 floorsper minute. At the same time, Vinod gets on an elevator at the 58th floor of the same buildingand rides down at the rate of 92 floors per minute. If they continue travelling at these rates,then at which floor will their paths cross?

22. Free notebooks were distributed equally among children of a class. The number of notebooks eachchild got was one-eighth of the number of children. Had the number of children been half, eachchild would have got 16 notebooks. Total how many notebooks were distributed?



23. In an examination, a student scores 4 marks for every correct answer and loses 1 mark forevery wrong answer. If he attempts all 80 questions and secures 120 marks, How many questionsdoes he answer correctly?

24. 9 engines consume 24 metric tonnes of coal, when each is working 8 hours day. How much coal isrequired for 8 engines, each running 13 hours a day, if 3 engines of former type consume asmuch as 4 engines of latter type?

25. A, B and C start at the same time in the same direction to run around a circular stadium. Acompletes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at thesame point. After what time will they again at the starting point?

26. On a certain day, orangeade was made by mixing a certain amount of orange juice with an equalamount of water. On the next day, orangeade was made by mixing the same amount of orange juicewith twice the amount of water. On both days all the orangeade that was made was sold. If therevenue from selling the orangeade was the same for both days and if the orangeade was sold atTk. 0.60 per glass on the first day, what was the price per glass on the second day?

27. Yesterday’s closing price of 2420 different stocks listed on a certain stock exchange were alldifferent from today’s closing pieces. The number of stocks that closed at a higher pricetoday than yesterday was 20% greater than the number that closed at a lower price. How many ofthe stocks closed at a higher price today than yesterday?

28. At his regular hourly rate, Alam had estimated the labor cost of a repair job as tk. 336 andhe was paid that amount. However, the job took 4 hours longer than he had estimated and,consequently, he earned 2 taka per hour less than his regular hourly rate. What was the timeAlam has estimated for the job, in hours?

29. Of the 300 subjects who participated the experiment using virtual-reality therapy to reducetheir fear of heights, 40% experienced sweaty palms, 30% experienced vomiting, and 75%experienced dizziness. If all of the subjects experienced at least one of these effects and35% of the subjects experienced exactly two of these effects, how many of the subjectsexperienced only one of these effects?

30. The price of commodity X increases by 40 paisa every year, while the price of commodity Yincreases by 15 paisa every year. If in 2001, the price of commodity X was TK. 4.20 and thatof Y was TK. 6.30, in which year commodity X will cost 40 paisa more than the commodity Y?

31. In a regular week, there are 5 working days and for each day, the working hours are 8. A mangets TK. 2.40 per hour for regular work and TK. 3.20 per hours for overtime. If he earns TK.432 in 4 weeks, then how many hours does he work for?

32. From a group of 7 men and 6 women, five persons are to be selected to form a committee so thatat least 3 men are there on the committee. In how many ways can it be done?

33. In how many different ways can the letters of the word 'MANAGEMENT' be arranged in such a waythat the vowels always come together?

34. Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?35. Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, C

is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by Calone to fill the tank is?

BCB Day 25

1. In a group of 6 boys and 4 girls, four children are to be selected. In how many different wayscan they be selected such that at least one boy should be there?

2. In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10women?



3. Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is theprobability that the ticket drawn has a number which is a multiple of 3 or 5?

4. What is the probability of getting a sum 9 from two throws of a dice?

5. In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is theprobability of getting a prize?

6. A card is drawn from a pack of 52 cards. What is the probability of getting a queen of club ora king of heart?

7. One card is drawn at random from a pack of 52 cards. What is the probability that the carddrawn is a face card (Jack, Queen and King only)?

8. The cost price of 20 articles is the same as the selling price of x articles. If the profit is25%, then the value of x is

9. If selling price is doubled, the profit triples. Find the profit percent.

10. In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the sellingprice remains constant, approximately what percentage of the selling price is the profit?

11. A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?

12. A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can Ado the work if he is assisted by B and C on every third day?

13. A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it forTK. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?

14. A does 80% of a work in 20 days. He then calls in B and they together finish the remaining workin 3 days. How long B alone would take to do the whole work?

15. A machine P can print one lakh books in 8 hours, machine Q can print the same number of booksin 10 hours while machine R can print them in 12 houTK. All the machines are started at 9 A.M.while machine P is closed at 11 A.M. and the remaining two machines complete work. Approximatelyat what time will the work (to print one lakh books) be finished?

16. Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. Forhow many minutes does the bus stop per hour?

17. Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travelsat 10 kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must hetravel to reach A at 1 P.M.?

18. What was the day of the week on 17th June, 1998?

19. It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010?20. A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4

hours to cover the same distance running downstream. What is the ratio between the speed ofthe boat and speed of the water current respectively?

21. A flat steel plate is cut with sides of length, 12, 8 and 6 cm. Determine the three angles ofthe plate.

22. If the angle subtended at the center of a circle by an arc length 4.5 cm is 120◦, what is theradius of the circle? Also find the angle of a sector of radius 20 cm and an area 300 cm2

23. A vertical radio mast has cable stays of length 64 m, extending from the top of the mast. Ifeach wire makes an angle of 65◦ with the ground, find: (a) the distance each cable is from thebase of the mast, (b) the vertical height of the mast

24. The distance (s) covered by a missile s= 4.905t2 +10t. Determine its rate of change of distancewith respect to time (its speed), after (i) 4 s and (ii) 12 s have elapsed.

25. To find the height of an airfield radio mast positioned on top of the control tower, thesurveyor sets up his theodolite 200m from the base of the tower. The surveyor finds that theangle of elevation to the top of the mast is 20◦. If the instrument is held 1.6 m from thelevel ground, what is the height of the tower?

26. A aerial erector is positioned 50m up a radio mask, in line with two landing lights, who’sangles of depression are 45◦ and 60◦. Calculate the distance between the landing lights.



27. A navigator notes a point B is due east of point A on the coast. Another point C on the coastis noted, 8km due south of A. The distance BC is 10 km. As the navigator calculate the bearingof C from B.

28. Find the volume and total surface area of a right cylinder, with a top and bottom, if thecylinder has a height of 12 cm and a base radius of 3 cm.

29. The final velocity of an car subject to linear acceleration is given by the formula, v=u+at,where u is the initial velocity, a is the linear acceleration and t is the time. Given thatu=70 m/s, a=4 m/s2 and t =20 s, find the final velocity of the car.

30. The cost of electroplating a square sheet of metal varies as the square of its length. The costto electroplate a sheet of metal with sides of 12 cm is £15.00. How much will it cost toelectroplate a square piece of metal with sides of 15 cm.

31. A specific supplier buys 100 packs of rivets for £60.00 and sells them to the another operatorfor 80 pence each. What percentage profit does the supplier make? The same supplier buys anundercarriage door retraction actuator for £1700.00 and because it is reaching the end of itsshelf life, he must sell it for £1400.00. What is the supplier’s percentage loss?

32. A light carrier is loaded with 22 boxes. If nine boxes have a mass of 12 kg, eight boxes havea mass of 14 kg and five boxes have a mass of 14.5 kg. What is the total mass of the boxes andthe average mass per box?

33. Walking across campus, a student interviewed a group of students. 25% of the students took afinance class last semester, 50% took a marketing class last semester, and 40% took neither afinance nor a marketing class last semester. What percent of the students in the group tookboth a finance and a marketing class?

34. Rice is now being sold at taka 20 a kg. During last month its rate was Taka 16 per kg. By howmuch percent should a family reduce its consumption so as to keep the expenditure fixed?

35. The age of father 10 years ago was thrice the age of his son. Ten years hence, father's agewill be twice that of his son. The ratio of their present ages is?

BCB Day 26

1. If selling Price is doubled, the profit triples. Find the profit percent.

2. A border of uniform width is placed around a rectangular photograph that measures 8 inches by10 inches. If the area of the border is 144 square inches, what is the width of the border, ininches?

3. Bobby, an office secretary, typed 6 letteTK. Each of which had either 1 or 2 pages. If bobbytyped 10 pages in all, how many of letters had 2 pages?

4. Solution X contains 7% (by weight) of liquid M and solution Y contains 14.5% (by weight) ofliquid M. If 3 grams of solution X is mixed with 2 grams of solution Y, then liquid M accountsfor what percent of the weight of the resulting solution?

5. In a certain country, a person is born every 5 seconds and a person dies every 13 seconds.Therefore the birth and death rates account for a population growth rate of one person in howmany seconds?

6. In how many ways can annie, bushra, camellia, don, elina and farzana be seated if annie andbushra cannot be seated next to each other?

7. Certain numbers of children were playing a game of football. There was a trial taking place onthe field. In this trial the probability that a goal is scored is 2/5. The probability that agirl hits a goal is 7/10 whereas the probability that a boy hits a goal is 1/5.what will bethe probability that not only a goal is hit but it is also hit by a boy?

8. Of the three numbers, the first is twice the second & is half of the third. if the average ofthree numbers is 56.the smallest number is what?

9. The income of a broker remains unchanged through the rate of commission is increased from 4%to 5%.the percentage of slump in business is what?



10. A debtor can pay 87 paisa in the taka, but if his creditors would take 20%off his debts, hecould pay them & have tk 42 left. His debts & assets respectively are

11. 5/9 part of the population in a village are males. if 30% of the males are married, thepercentage of unmarried female in the total population is-

12. In a city, 35% of the population is composed of migrants, 15% of whom are from rural areas ofthe local population, 42% is female while this figure for rural & urban migrants is 30% & 40%respectively. If the total population of the city is 728400.what is its female population?

13. A bag contains 800 coins of 25p denomination & 1200 coins of 50p denomination. If 12% of 25pcoins & 24% of 50p coins are removed the percentage of money removed from the bag is nearly -

14. The price of an article was increased by p%. later the new price was decreased by p%. if thelatest price was tk 1, the original price was?

15. A tradesman by means of a false balance defrauds to the extent of 8% in buying goods & alsodefrauds to 8% in selling. His gain percent is?

16. the difference between the interest received from two different banks on taka 500 for 2 yearsis taka 2.50.the difference between their rates is

17. A, B & C started a business by investing the amount of tk 600, tk 800 & tk 900 respectively.After few months, A invested an amount of tk 300 in the same business. At the end of the year,they profited of tk 300.after how many months did A invest tk 300 if C's share of profit betk.108?

18. A man is 10% older than his wife, wife is X% younger than him. Find X?

19. What principal will give an interest of tk 100 in 4 years at 25/2% per annum?20. if a certain number of workmen can do a piece of work in 25 days, in what time will another

set of an equal number of men do a piece of work twice as great, supposing that 2 men of thefirst set can do as much work in an hour as 3 men of the second set can do in an hour?

21. A department store receives a shipment of 1000 shirts, for which it pays TK 9000. The storesells the shirts at a price 80% above cost for one month, after which it reduces the price ofthe shirts to 20% above cost. The store sells 75% of the shirts during the first month and 50%of the remaining shirts afterward. How much gross income did sales of the shirts generate?

22. A Shopkeeper makes a loss of 12% b selling an item at 80% of its marked price. What will bethe percent profit made by the shopkeeper if he sells the item at 95% of its marked price?

23. At a shop, shirts are sold for 20% less than the price marked, making a 25% profit on its cost.If each shirts is marked TK. 500, what is the cost of each shirt?

24. At a certain rate of simple interest a certain sum doubles itself in 10 yeaTK. It will betreble itself in?

25. The Simple interest on a sum of money will be Tk. 600 after 10 yeaTK. If the principal istrebled after 5 years, what will be the total interest at the end of tenth year?

26. Putul bought a 1- year , TK. 10000 certificate of deposit that paid interest at an annual rateof 8 percent compounded semiannually, What was the total amount of interest paid on thiscertificate at maturity?

27. A retailer bues a radio from the wholeseller for Tk. 80. He then marks up the price by 25%and sales at a discount of 10%. What is his profit in the radio?

28. If ½ of the air in a tank is removed with each stroke of a vacuum pump, what fraction of theoriginal amount of air has been removed after 4 stroke?

29. In a certain fashion house, which has four size of a specific shirt, there is one third as manysmall shirt as medium shirts, and ½ as many large shirts as small shirts. If there are as manyX- large shirts, what percent of the shirts in the store are medium?

30. The average (arithmetic mean) of 6 numbers is 6.5. When four more numbers are added to thesesix numbers, the new average of all 10 numbers is 7.9. What is the average of the four numbersadded?

31. How much salt must we add to 10 grams of a 20% salt solution to strengthen it into a 50%solution?



32. Tk. 5265 is divided among A, B,C so that A may receive ½ as much as B and C together receiveand B receives ¼ of what A and C together receive. The share of A is more than that of B by:

33. Gold is 19 times as heavy as water and copper 9 times as heavy as water. The ratio in wichthese two metals be mixed so that the mixture is 15 times as heavy as water, is:

34. Two equal glasses are respectively 1/3 and ¼ full of milk. They are then filled up with waterand the contents mixed in a tumbler. Ratio of milk & water in tumbler is?

35. In a class there are two sections A and B. If 10 students of section B shift over to sectionA, the strength of A becomes three times the strength of B. But if 10 students shift over fromA to B, both A and B become equal in strength. How many students are there in sections A andB?

BCB Day 27

1. What is the minimum number of chocolates that must be added to an existing stock of 966chocolates, so that the total stock can be equally distributed among 6,7,8,or 9 persons?

2. How many seconds will a 500 meter long train take to cross a man walking with a speed of 3km/hr in the direction of the moving train if the speed of the train is 63 km/hr?

3. A 55 meter long train passes a 220 meter long railway station in 10 secounds. How many secondswill it take to pass another train 110 meter long?

4. A man can row at the rate of 4km/hr. in still water. If the time taken to row a certain distanceupstream is 3 times as much as to row the same distance downstream, find the speed of thecurrent.

5. A tank is fitted with 8 pipes, some of them that fill the tank and others that are waste pipemeant to empty the tank. Each oh the pipes that fill the tank can fill it in 8 hours, whileeach of those that empty the tank can empty it in 6 houTK. If all the pipes are kept open whenthe tank is full, it will take exactly 6 hours for the tank to empty. How many of those arefill pipes?

6. A man rowed 3 miles upstream in 9- mintues. If the flowed with a current of miles per hour,how long did the man’s return take?

7. Ten years ago A was half of B in age. If the ratio of their present ages is 3:4 what will bethe total of their present ages?

8. If x represents the sum of all the positive three-digit numbers that can be constructed usingeach of the distinct nonzero digits a, b, and c exactly once, what is the largest integer bywhich x must be divisible?

9. It takes 6 days for 3 women and 2 men working together to complete a work. 3 men would do thesame work 5 days sooner than 9 women. How many times does the output of a man exceed that of awoman?

10. A dessert recipe calls for 50% melted chocolate and 50% raspberry puree to make a particularsauce. A chef accidentally makes 15 cups of the sauce with 40% melted chocolate and 60%raspberry puree instead. How many cups of the sauce does he need to remove and replace withpure melted chocolate to make the sauce the proper 50% of each?

11. Two cars A and B start from Boston and New York respectively simultaneously and travel towardseach other at constant speeds along the same route. After meeting at a point between Bostonand New York the two cars A and B proceed to their respective destinations of New York andBoston. Car A reaches New York 40 minutes after the two cars have met and Car B reaches Boston90 minutes after they have met. How long did Car A take to cover the distance between Bostonand New York?

12. A bus from city M is traveling to city N at a constant speed while another bus is making thesame journey in the opposite direction at the same constant speed. They meet in point P afterdriving for 2 houTK. The following day the buses do the return trip at the same constant speed.One bus is delayed 24 minutes and the other leaves 36 minutes earlier. If they meet 24 milesfrom point P, what is the distance between the two cities?



13. Each day a man meets his wife at the train station after work, and then she drives him home.She always arrives exactly on time to pick him up. One day he catches an earlier train andarrives at the station an hour early. He immediately begins walking home along the same routethe wife drives. Eventually his wife sees him on her way to the station and drives him the restof the way home. When they arrive home the man notices that they arrived 20 minutes earlierthan usual. How much time did the man spend walking?

14. There are 5 bags three of which each contains 5 white and 2 black balls, and remaining 2 bagseach contains 1 white and 4 black ball; a black ball has been drawn, find the chance that itcame from first group.

15. What is the least possible distance between a point on the circle x^2 + y^2 = 1 and a point onthe line y = 3/4*x - 3?

16. A cyclist travels the length of a bike path that is 225 miles long, rounded to the nearestmile. If the trip took him 5 hrs, rounded to the nearest hour, then his average speed must bebetween:

17. If x+|x|+y=7 and x+|y|-y=6 what is x+y=?18. How many even 3 digit integers greater than 700 with distinct non zero digits are there?19. Two trains, one from P to Q and the other from Q to P, start simultaneously. After they meet,

the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of theirspeeds is?

20. Two stations P and Q are 110 km apart on a straight track. One train starts from P at 7 a.m.and travels towards Q at 20 kmph. Another train starts from Q at 8 a.m. and travels towards Pat a speed of 25 kmph. At what time will they meet?

21. A train travelling at 48 kmph completely crosses another train having half its length andtravelling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platformin 45 seconds. The length of the platform is?

22. A machine P can print 1 lakh books in 8 hour, Q can same in 10 hour & R can print them in 12hour. All the machine r started at 9 AM, while machine P in closed at 11 is and the remainingtwo machines complete the work. Approximately at what time the work will be finished?

23. Adam borrowed some money at the rate of 6% p.a. for the first two years, at the rate of 9% p.a.for the next three years, and at the rate of 14% p.a. for the period beyond five yeaTK. 1£ hepays a total interest of TK. 11, 400 at the end of nine years how much money did he borrow?


25. A sum of TK. 725 is lent in the beginning of a year at a certain rate of interest. After 8months, a sum of TK. 362.50 more is lent but at the rate twice the former. At the end of theyear, TK.33.50 is earned as interest from both the loans. What was the original rate ofinterest?

26. Ms. Varshini gave TK.30000/- to Mr. Suresh for 5 years and TK.20000/- to Mr. Vijay for 2 ½yeaTK. If the rate of interests is the same and she received TK.14000//- as sI from both. Whatis the rate of interest?

27. A,B and C are three contestants in a km race .If A can give B a start of 40 m and A can give Ca start of 64 how Many meter start can b give C?


29. A shopkeeper sells one transistor for TK. 840 at a gain of 20% and another for TK. 960 at aloss of 4%. His total gain or loss percent is?

30. Two goods train each 500 m long, are running in opposite directions on parallel tracks. Theirspeeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to passthe driver of the faster one.




32. A machine P can print one lakh books in 8 hours; machine Q can print the same number of booksin 10 hours while machine R can print them in 12 houTK. All the machines are started at 9 A.M.while machine P is closed at 11 A.M. and the remaining two machines complete work. Approximatelyat what time will the work (to print one lakh books) be finished?

33. In Arun's opinion, his weight is greater than 65 kg but less than 72 kg. His brother does notagree with Arun and he thinks that Arun's weight is greater than 60 kg but less than 70 kg.His mother's view is that his weight cannot be greater than 68 kg. If all are them are correctin their estimation, what is the average of different probable weights of Arun?

34. In a group of 6 boys and 4 girls, four children are to be selected. In how many different wayscan they be selected such that at least one boy should be there?

35. A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay ashis share of rent?

BCB Day 28

1. A, B and C jointly thought of engaging themselves in a business venture. It was agreed that Awould invest TK. 6500 for 6 months, B, TK. 8400 for 5 months and C, TK. 10,000 for 3 months. Awants to be the working member for which, he was to receive 5% of the profits.The profit earnedwas TK. 7400. Calculate the share of B in the profit?

2. A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The secondcontains 50% water. How much milk should he mix from each of the containers so as to get 12litters of milk such that the ratio of water to milk is 3:5?

3. The cost of Type 1 rice is TK. 15 per kg and Type 2 rice is TK. 20 per kg. If both Type 1 andType 2 are mixed in the ratio of 2:3, then the price per kg of the mixed variety of rice is?

4. Two friends P and Q started a business investing in the ratio of 5: 6. R joined them after sixmonths investing an amount equal to that of Q's. At the end of the year, 20% profit was earnedwhich was equal to TK. 98,000. What was the amount earned by R?

5. TK. 9800 are invested partly in 9% stock at 75 and 10% stock at 80 to have equal amount ofincomes. The investment in 9% stock is?

6. A train can travel 50% faster than a car. Both start from point A at the same time and reachpoint B 75 kms away from A at the same time. On the way, however, the train lost about 12.5minutes while stopping at the stations. The speed of the car is?

7. A, B & C Started a business each investing tk 20,000/=, after Five months A withdraw tk 5000,B withdraw tk 4000 and C invest tk 6000 more. At the end of the year a total profit of tk69,900/= was recorded. Find the share of each.

8. A person earns yearly interest of tk 920 by investing tk x at 4% & tk y at 5% simple interest.If he invest taka x at 5% & taka y at 4% his yearly interest earning will be reduced by tk 40.Find out his investment.

9. A picnic was arranged by M students. Total cost of the picnic was estimated to by Y taka.Unfortunately, Z students withdrew their names from the picnic. How many more taka would eachof the remaining students have to pay?

10. Arman wanted to have TK 39,000 as interest after 5 yeaTK. He has invested an amount in anaccount for 1 year at 8% interest rate. From the second year, he invested the principal amountin another account offering 10% interest for 3 yeaTK. At the beginning of the fifth year, heinvested the principal amount in another account at the rate of 11%. What is the principalamount? (assume simple interest rate)



11. A 5% monthly salary increase resulted in a salary increase of 6000 per year for an employee.What was his monthly salary before the increase?

12. If selling price doubled, the profit triples. Find the profit percent?13. A person walking 5/6 of his usual rate is 40 minutes late. What is his usual time?14. An article is sold at 20% profit. If its cost price is increased by TK 50 and at the same time

if its selling price is also increased by TK 30, the percentage of profit decreases by 10/3%.Find the cost price.

15. The number of parallelograms that can be formed from a set of four parallel lines intersectinganother set of three parallel lines is

16. If a train runs at 40 kmph, it reaches its destination late by 11 minutes but if it runs at 50kmph, it is late by 5 minutes only. The correct time for the train to complete its journey is:

17. 2 pipes A and B can fill a tank in 36 minutes and 45 minutes respectively. Waste pipe C canempty the tank in 30 minutes A and B are opened. After 7 minutes, C is also opened. In how muchtime, the tank is full?

18. In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed forthe trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. Find out theduration of the flight.

19. A car traveled 75% of the way from town A and B at an average speed of 50 mph. The car travelsat an average speed of S mph for the remaining part of the trip. The average speed of theentire trip was 40 mph. What is the value of S?

20. One day Mr. Wahid started 30 minutes late from home and reached his office 50 minutes late,while driving 25% slower than his usual speed. How much time in minutes does Mr. Wahid take toreach his office from home?

21. A 12 gallon tub has a faucet that lets water in at the rate of 3 gallons per minute and has adrain that lets water out at a rate of 1.5 gallons per minute. If you start with 3 gallons ofwater in the tub, how long will it take to fill the tub completely?

22. Paint needs to be thinned to a ratio of 2 parts paint to 1.5 parts water. The painter has bymistake added water so that he has 6 litres of paint which is half water and half paint. Whatmust he add to make the proportions of the mixture correct?

23. Annie invested a certain sum of money in a bank that paid simple interest. The amount grew toTk. 240 at the end of 2 yeaTK. She waited for another 3 years and got a final amount of Tk.300. What was the principal amount she invested at the beginning?

24. In a two- digit number, the digit in the unit’s place is more than twice the digit in ten’splaced by 1. If the digit in the unit’s place & the ten’s place are interchanged, differencebetween the newly formed number & the original number is less than the original number by 1.What is the original number?

25. A does half as much work as B in three fourth of the time. If together they take 18 days tocomplete a work, how much time shall B take to do it?

26. A does half as much work as B in three fourth of the time. If together they take 18 days tocomplete a work, how much time shall B take to do it?

27. In a partnership, A invest 1/6 of the capital for 1/6 of the time, B invests 1/3 of the capitalfor 1/3 of the time and C, the rest of the capital for the whole time. Out of profit of Tk.4600, B’s share is:

28. A person invested 2/3 rd of his capital at 3%, 1/6 th at 6% and the remainder at 12%. Find outthe amount of capital if his annual income is TK. 25.

29. A basketball team has won 15 games and lost 9. If these games represent 16 2/3 % of the gamesto the played, then how many more games must the team win to average 75% for the season?




31. Dipu works alone, he will take 20 more hours to complete a task than if he worked together withEnam. If Enam works alone, he will take 5 more hours to complete the task than if he workedtogether with Dipu.If they work together, how many hours do they need to complete the task?



34. A train went 300 miles from X to city Y at an average speed of 80 mph. At what speed did ittravel on the way back if its average speed for the whole trip was 100 mph?

35. Arif, Hemal and Faisal invested tk 8000, tk 4000 and tk 8000 respectively in a business. Arifleft after six months. If after eight months, there was a gain of tk 4005, then what will bethe share of Hemal and Faisal?

BCB Day 29

1. The current of stream runs at 1 km/h. A motor boat goes 35 km upstream and back again to thestarting point in 12 houTK. The speed of the motor boat in still water is?


3. A boat travels for three hours with a current of 3 mph and then returns the same distanceagainst the current in four houTK. What is the boat's speed?



6. Son's age is now one-third of father's age. In twelve years from now son's age will be one halfof the father's age. what is the son's age in years now?





11. In a group consisting of 40 people, 24 were female and the rest were male. Half of the memberswre smokers and the rest were non-smokeTK. If one-third of the female member were smokers, howmany of the male members were non-smokers?

12. A dishonest merchant makes a 10% profit at the time of buying and a 5% loss at the time ofselling the goods he/she trades. By doing so if the said merchant made a profit of Tk.900 on aparticular item, what was the real cost of the item sold?

13. A person wishes to accumulate Tk.5,00,000 by the end of 15 years by making equal half yearlydeposits over the next 15 yeaTK. If he/she earns 10% on the investment, how much must he/ shedeposit at the end of each half-year?

14. A taka received one year from now is worth 90 paisa today. If you had Tk. 5,00,000 availablefor investment, what would be the minimum rate at which you would have to invest in order tokeep the value of your capital unchanged? What redemption value of your investment would youexpect if you wanted a real return of 5% per annum?



15. Karim drove for hour and half at 50 miles per hour. When he realized that it would be dark verysoon, he raised his speed to the end of the journey. The total distance karim drove was 174miles. How long did he drive at 55 miles per hour?

16. In a stream running at 2 km/hr, a motor boat goes 10 km upstream and back again to the startingpoint in 55 minutes. Find the speed of the motor boat in still water.

17. For each taka spend by the sales department, the research department spends 20 paisa. For everyTk. 4 spend by the research department spends Tk. 1.50. Find out the ratio of the money spentby the sales department to the money spent by the research department to the money spent bythe packing department.

18. Suppose you deposited Tk. 10,000 on January 01, 2012 at 12.5% interest rate for 1 year, on July01, 2013 Tk.15,000 at 12% interest rate for 6 months and on October 01,2013 Tk.20,000 at 22.50%interest rate for 3 months (assume that the stated interest rates are simple and annual).Suppose you withdraw all deposits (including due interest) on December 31, 2013. Calculate theoverall annual rate of interest you have received.

19. What will be the deposited amount at initial stage, if it becomes Tk. 43,750 at the end of 5years with a simple interest rate of 15% per annum? How many years it will take the saiddeposited amount to become Tk.55,000?

20. Two vessels A and B contain spirit and water in the ratio 5:2 and 7:6 respectively. Find theratio in which these mixture be mixed to obtain a new mixture in vessel C containing spiritand water in the ratio of 8:5?

21. Your supervisor instructs you to purchase 240 pens and 6 staplers for the nurse's station. Pensare purchase in sets of 6 for $2.35 per pack. Staplers are sold in sets of 2 for 12.95. Howmuch will purchasing these products cost?

22. Two cyclists start biking from a trail's start 3 hours apart. The second cyclist travels at 10miles per hour and starts 3 hours after the first cyclist who is traveling at 6 miles per hour.How much time will pass before the second cyclist catches up with the first from the time thesecond cyclist started biking?

23. In an acoustics class,120 students are male and 100 students are female.25% of the male studentsand 20%of the female students are engineering students.20% of the male engineering studentsand 25% of the female engineering students passed the final exam, what percentage of engineeringstudents passed the exam?

24. The value of a share of stock was tk 30 on Sunday. The profile of the value in the followingweek was as follows: The value appreciated by tk 1.2 on Monday. It appreciated by tk 3.1 onTuesday. It depreciated by tk 4 on Wednesday. It appreciated by tk 2 on Thursday and itdepreciated by tk 0.2 on Friday. On Friday, the stock market closed for the weekend. By whatpercentage did the value of the share decrease in the five days?

25. Each person in a group of 110 investors has investments in either equities or securities orboth. Exactly 25% of the investors in equities have investment in securities, and exactly 40%of the investors in securities have investments in equities. how many have investment inequities?

26. T he cost of painting a wall increase by a fixed percentage each year. In 1970 the cost wastk 2000;and in 1979 it was tk 3600.what was the cost of painting in 1988?

27. The list price of a commodity is the price after a 20% discount on the retail price. Thefestival discount price on the commodity is the price after a 30% discount on the list price.Customers purchase commodities from stores at a festival discount price. What is the effectivediscount offered by the stores on the commodity on its retail price?

28. The total income of Mr. Teng in the years 2003,2004 and 2005 was tk 36400.His income increasedby 20% each year. what was his income in 2005?

29. Train X leaves New York at 10AM and travels East at a constant speed of x miles per hour. Ifanother train Y leaves New York at 11.30 AM and travels East along the same tracks at speed4x/3, then at what time will train Y catch train X?



30. An old man distributed all the gold coins he had to his sons into two different numbers suchthat the difference between the two numbers is 36 times the difference between the two numbeTK.How many coins did the old man have?

31. A car travelled 65% of the way from town A to town B at an average speed of 65 mph. The cartravelled at an average speed of v mph for the remaining part of the trip. The average speedfoe the entire trip was 50 mph. what is v in mph?

32. A worker is hired for 7 days. Each day he is paid 10 dollars more than what he is paid for thepreceding day of work. The total amount he was paid in the first 4 days of work equaled thetotal amount he was paid in the last 3 days. What was his starting pay?

33. In a multi voting system, voters can vote for more than one candidate. Two candidates A and Bare contesting the election.100 voters vote for A. Fifty out of 250 voters voted for bothcandidates. If each voter voted for at least one of the two candidates, then how many candidatesvoted only for B?

34. There are 750 male and female participants in a meeting. Half of the female participants andone-quarter of the male participants are Democrats. One third of all the participants areDemocrats. How many are the Democrats are female?


BCB Day 30

1. A survey of n people in the town of Eros found that 50% of them prefer brand A. Another surveyof 100 people in the town of Angie found that 60% prefer brand A. In total 55% of all thepeople surveyed together prefer brand A. what is the total number of people surveyed?

2. A meeting is attended by 750 professionals.450 of the attendees are females. Half the femaleattendees are less than30 years old and one-fourth of the male attendees are less than 30 yearsold. If one of the attendees of the meeting is selected at random to receive a prize, what isthe probability that the person selected is less than 30 years old?

3. A triangular plot with sides 28 meters,35 meters and 56 meters is to be surrounded by a fencebuilt on posts set 7 meters apart. After posts are placed at each corner, how many moreadditional posts will be needed?

4. Jalal started work 2 years ago. His starting salary was ½ of Millats’s salary at that time.Each year since then Jalal has received a raise of 5% in his salary and Millat has received araise of 10% in his salary. What percentage 9to the nearest percent0 of Millat’s current salaryis jalal’s current salary?

5. Recently, sohan’s hourly wage has been increased by 1o%.Before this increase, sohan’s totalweekly wage was tk 137.If his weekly hours were to decrease by 10% from last week’s totalhours, what would be the change, if any, in sohan’s total weekly wage?

6. The speed of a railway engine is 42 km per hour when no compartment is attached, and thereduction in speed directly proportional to the square root of the number of compartmentsattached. If the speed of the train carried by this engine is 24 km per hour when 9 compartmentsare attached, what is the maximum number of compartments that can be carried by the engine?

7. A basketball team has won 15 games and lost 11.If these games represent 50/3 % of the games tothe played, then how many more games must the term win to average 75 % of the season?

8. The speed of a railway engine is 64 km/h when no compartment is attached, and the reduction inspeed directly proportional to the square root of the no of compartments attached. If the speedof the train carried by this engine is 40 km per hr when 36 compartments are attached, what isthe maximum no. of compartments that can be carried by engine?

9. A train which travels at a uniform speed due to some mechanical fault after traveling for anhour goes at 3/5th of the original speed and reached the destination 2 hours late. If the fault



had occurred after traveling another 50 miles, the train would have reached 40 min earlier.What is the distance between the two stations?

10. Two trains equal length of 500 meters starts moving on two parallel railway tracks at a speedof 104 km/h and 80 km/h respectively. How much time the faster train will take to cross theslower one?

11. John and Dani go for an interview for two vacancies. The probability for the selection of Johnis 1/3 and whereas the probability for the selection of Dani is 1/5. What is the probabilitythat none of them are selected?

12. David invested certain amount in three different schemes A, B and C with the rate of interest10% p.a., 12% p.a. and 15% p.a. respectively. If the total interest accrued in one year wasTK. 3200 and the amount invested in Scheme C was 150% of the amount invested in Scheme A and240% of the amount invested in Scheme B, what was the amount invested in Scheme B?

13. Simple interest on a certain sum of money for 4 years at 5% per annum is half the compoundinterest on TK. 3000 for 2 years at 10% per annum. The sum placed on simple interest is:

14. If the difference between the simple interest and compound interests on some principal amountat 20% for 3 years is TK. 48, then the principal amount is?

15. A worker is paid taka “x” per hour for the first 5 hours he works each day. He is paid taka“y” per hour for each hour he works in excess of 5 hTK. During one week, he works 8 hours onSaturday, 11 hours on Sunday, 12 hours on Monday, 10 hours on Tuesday, 9 hours on Wednesday.What is the average daily wage for five days of week?

16. A businessman before closing his shop, counted the money kept in the cash box and found therewere X number 50 paisa coin, X number of 1 tk notes, X number of 2 tk notes and X number of 5tk notes. Apart from this there is nothing in the box. The next day when he opened the shop hefounds that the cash box had been stolen. As he was insured, he got tk 1615 which is 95% ofthe stolen money from the insurance company. How many 2 tk notes were in the box?


18. 8 litters are drawn from a cask full of wine and are then filled with water. This operation isperformed three more times. The ratio of the quantity of wine now left in cask to that of wateris 16: 81. How much wine did the cask hold originally?

19. A person wishes to accumulate Tk. 5,00,000 by the end of 15 years by making equal half-yearlydeposits over the next 15 yeaTK. If he/she earns 10% on the investment, how much must he/shedeposit at the end of each half year?

20. Mr. A purchased a house for tk 1000000 tk in 1995; he spent 100000 tk for routine maintenance& upkeep of the house. 1n 1999 he sold the house for 25% of more than what he paid for it. Hepaid 5% of the proceeds as gain tax & he has to pay 50% of his net profit to the broker, whatis his net income?

21. Mr. a purchased a house for Tk. 1000000 in 1995. He spent Tk. 100000 for the routine maintenanceand upkeep of the house. In 1999, he sold out the house for 25% of more than what he paid forit. He paid 5% of the sales proceeds as gain tax. And he had to pay 50% of his act posit tothe broker. What was his net income?

22. 20 men can finish a job in 30 days. After how many days should 5 men leave the work so thatthe work may be finished in 35 days?

23. All the page numbers from a book are added, beginning at page 1.However one page number wasmistakenly added twice. The sum obtained was 1000.which page number was added twice?

24. Mr. X, a sales person earns 5% commission on all sales between Tk. 20000 and Tk. 40000 and 8%on the sales exceeding Tk. 40000 in a month. He does not earn any commission if sales in amonth amount to less than Tk. 20000.His monthly salary are 60000; he has to pay 20% tax on his



basic salary but no tax on commission. In April 2001, his total net income (salary + commission)of the sales person was Tk. 65000.How much was the sales in April?

25. 2 workers A and B are engaged to do a job. A working alone takes 8 hours more to complete thejob than if both worked together. If B worked alone he would need 4.5 hours more to completethe job than they both worked together. What time would they take to do the work together?

26. A,B and C started a business by investing the amount of Tk. 600, Tk. 800, and Tk. 900respectively. After a few month, A invested an amount of Tk. 300 in the same business. At theend of the year, they profited by Tk. 300.After how many months did A invest Tk. 300 if C’sshare of profit be 108?

27. The speed of a steamer and that of current per hour are 18 km and 6 km respectively. How longwill it take to row on river to a place at a distance of 48kms and come back to a startingpoint?

28. A man standing on a railway bridge which is 180 m long .He finds that a train crosses thebridge in 20 seconds and crosses him in 8 seconds. Find the length of the train and its speed?

29. What is the difference between a single discount of 40% and a series of discount of 36% and 4%on Tk. 10000?

30. A mixture of sands and stones weighing 64 kg contains 25% sands. How much sands in kg must beadded to get a new mixture containing 40% stones?

31. The simple interest rate of a bank was reduced to 5% to 7%.As a consequence, Mr. B’s incomefrom bank interest was reduced by Tk. 2100 in 5 yeaTK. How much was Mr. B’s initial depositwith the bank?

32. One fifth of the products made by a company is defective. Four fifth of the defectives wererejected and one twentieth of the products were rejected my mistake. What percent of theproducts sold is defective?

33. A total of 50 employees work in a bank branch. Of these 22 have taken an accounting course,15have taken a course in Finance and 14 have taken a Marketing course .9 of the employees haveexactly taken two of the courses and one employee has taken all three courses. How many of the50 employees have taken none of the courses?

34. 3 men or 5 boy can do a work in 20 days. How many days will it take for 4 men and 10 boys tocomplete the work?

35. A trader mixes 26 kg of rice at tk. 20 per kg with 30 kg of rice of other variety at tk. 36per kg and sells the mixture at tk. 30 per kg. His profit percent is?

BCB Bonus………….

1. Tanya’s grandfather was 8 times older than her 16 years ago. He would be 3 times of her age 8years from now.8 years ago what was the ratio of Tanya’s age to that her grandfather?

2. A team of 2 men and 5 women complete one-fourth of a job in 3 days. After 3 days one man joinedand they took 2 days to complete another one-fourth of the job. How many men can complete thewhole job in 4 days?

3. By selling a book for Tk. 56, gain is as much percent as it costs in taka. The cost price iswhat?

4. Organisers of a trade fair projected an increase of 20% in the number of visitors over theprevious year. But the number of visitors actually increased by 50%.By what percent was theactual number of visitors greater than the projected of visitors?

5. Interest on Tk. 500 for 4 years and Tk. 600 for 5 years is Tk. 500.What is the interest on Tk.1000 for 3 years?

6. If 7% of selling price is equal to 8% of the cost price and 9% of selling price is 1 greaterthan 10% of cost price. What is the cost price and how much money is earned by selling theproduct?



7. A person deposited money at 6% and 7% respectively. If total Tk. 4000 money earns Tk. 250 asinterest in 1 year. How much money invested at 7% interest rate?

8. A retailer buys 40 pens at the market price of 36 pens from a wholeseller.If he sells thesepens giving a discount of 1%. What is the profit percent?

9. Four milkmen rented a pasture. A gazed 24 cows for 3 months, B gazed 10 cows for 5 months, Cgazed 35 cows for 4 months and D gazed 21 cows for 3 months. If A’s share of rent is Tk.720.Find the total rent of the field?

10. A room is half as long as it is broad. The cost of carpeting the room at Tk. 5 per sq/m is Tk.270 and the cost of papering the four walls at Tk. 10 per sq/m is Tk. 1720.If a door and 2windows occupy 8 sq/m. Find the dimension of the room?.

11. A man buys a television set that lists for Tk. 36000 at 10% discount. He gets an additional 2%for paying cash. How much money does he actually pay in Tk.?

12. In a bonus account money doubles in 6 yeaTK. What is the rate of interest in this account?

13. A man’s 3 months income is equal to his 4 months expenditure. What percent of his income doeshe save?

14. A candidate answered all 22 questions in a test and received 63.5 marks. If the total markswere derived by adding 3.5 mark for each correct answer and deducting 1 mark for each wronganswer. How many questions did he answer incorrectly?

15. Recently Kamal’s hourly wage has been increased by 10%.Before this increase, Kamal’s totalweekly wage was Tk. 137.If Kamal’s weekly working hours were to decrease by 10% from lastweek’s total working hours, what would be the change, if any, in Kamal’s total weekly wage?

16. A person wishes to accumulate Tk. 500000 by the end of 15 years by making equal half-yearlydeposits over the next 15 yeaTK. If he earns 10% on the investment, how much must he depositat the end of each half year?

17. A set has exactly five consecutive positive integers starting with 1.what is the percentagedecrease in the average of the numbers when the greatest one of the numbers is removed fromthe set?

18. In a country 60% of the male citizen and 70% of the female citizen are eligible to vote.70% ofmale citizens eligible to vote voted and 60% of female citizens eligible to vote voted. whatfraction of the citizens voted during the election?

19. A certain amount would become doubled ( principal + I R ) by 2 years at a % . How much moneywould become tk 2050 by 4 years by same % .

20. A gave loan tk 500 to B and few amount to C at 8% interest .after 4 years A get total interesttk 210 .find how much money A gave loan to C ?

21. A gave few amount of taka loan for B and every year got interest 1/8 portion of capital .after5 years A withdraw full tk ( Principal + Interest ) from B .and give loan to C .after 1 yearA got tk 2031.25 interest from C by 5% interest .find how much money gave loan to B .

22. A product sell at a X% loss .if he could sell at a 3X% profit , he could gain tk 18X more .findbuying price of product .

23. A seller sell his products at 15% VAT .He sold a product and receive tk 2300 .find VAT .

24. A and B started a business by investing tk 350,000 and 140,000 .A gets 20% 0f the yearly profitfor managing the business .thereafter the profit is divided in the ratio of capital .if Areceive totally tk 38000 more than B at end of the year ,then the profit is .

25. 0n selling a chair at 7% loss and a table at 17% gain ,a man gains tk 296 .if he sells thechair at 7% gain and table at 12% gain ,then he gains tk 400.the actual price of the table is.

26. Mr X lost a wallet containing tk 120 .incidentally ,he had only notes of tk 2 and tk 5denominations in wallet .if the total number of notes was 30 , how many tk 5 denomination notesdid he have ?

27. A man walking non- stop along a road at 3 km/hr is overtaken by a car running at 30 km/hr .ifthe car breaks down 1 kilo beyond where it passes the man ,how many minutes after the breakdowndoes the man reach the car ?

28. In a class if 5 students sit in a bench ,5 bench remain empty .if 3 students sit in bench 7students remain stand up .find out total students in the class .



29. Mr Y invests tk 2400 in the bank at 5% interest .how much additional money must be invested at8% interest so that the total interest will be equal to 6% of his entire investment?

30. A team of 2 men and 5 women completed one –fourth of a job in 3 days .After 3 days another menjoined the team and they took 2 days to complete another one –fourth of the job .how many mencan complete the whole job in 4 days ?

31. A man buys a car for tk 300,000 .the insurance for car costs him tk 1000 for ist year .for eachsubsequent year the insurance costs 10% less than that for previous year .calculate total costfor ist four yeaTK.

32. A fair coin is to be tossed 100 times with each toss resulting in a head or a tail. If H isthe total number of heads and T is total number of tails, which of the following events hasthe greatest possibility?

33. A train running at 36 kmph passes another train in 12 second, which is half of its length,running in the opposite direction at 54 kmph. If it also passes a railway flatform in 1.5min,what is the length of the flatform?

34. The ratio of income of Kamran and Dolon is 3:4. The ratio of their expenditures is 4:5.Findthe ratio of their savings if the savings of Kamran is one fourth of his income?

35. Simplify (a^(1/2) +〖 a〗^(- 1/2))/(1 - a)+ (1 -〖 a〗^(- 1/2))/(1 + √a) .36.37. A man is standing on a railway bridge which is 180 m long. He finds that a train crosses the

bridge in 20 s and crosses him in 8 s. Find the length of the train and its speed in km/hr .

38. A passenger train left a train depot 2 hrs after a freight train had left the same depot. Thefreight train was travelling 20 km/hr slower than the passenger train. Find out the speed inkm/hr of the two trains, if the passenger train overtook the freight train in 3 houTK.

39. The sum of the pay of two officers is Tk 24000 per month. If the pay of one officer isdecreased by 9% and the pay of the second is increased by 17%, their pays become equal. Findthe pay of each officer.

40. Mr Karim deposited a certain amount of money for a fixed period of time. On maturity hereceived a total of Tk 45000 when the ratio of interest and investment became 2 : 5. If theinterest rate was 3.6% per annum, calculate the time period for which the money was invested.

41. A shopkeeper buys pens , which are Tk 360 a dozen. He quotes a selling price the customersand offers a discount of 10% realizing that even with the discount he can earn a profit of 20%.What was the initial selling price of each pen quoted by him?

42. David bought two varieties of rice costing Tk 5 and 6 per kg each. Then he sold the mixtureat Tk 7/kg, making profit of 20%. What was the ratio of the mixture?

43. Two alloys A and B are composed of two basic elements. The ratios of the compositions of thetwo basic elements in the two alloys are 5 : 3 and 1 : 2. Now alloy X is formed by mixing thetwo alloys A and B in the ratio 4 : 3. What is the ratio of the composition of the two basicelements in alloy X?

44. A train leaves sylhet at 6 AM & reaches Dhaka at 10 AM. Another train leaves Dhaka at 8 AM &reaches sylhet at 11.30 AM. At what time do the two trains cross one another?

45.46. A tank is 25m long, 12m wide & 6m deep. The cost of plastering its walls & bottom at 75 paisa

per square meter is?

47. A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If thearea of the field is 680 square feet. How many feet of fencing will be required?

48. The length of a rectangular plot is 20m more than its breadth. If the cost of fencing the [email protected] per meter is 5300 TK. What is the length of the plot in meters?

49. A car after traveling 30 Km from the point A developed some problem in the engine and the speedbecome 4/5 of its original speed. As a result the car reached the point B 45 minutes later. Ifthe engine had developed the same problem after traveling 48 km, then it would have reached Bonly 36 minutes late. What is the original speed of the car in km/h. What is the distancebetween point A and B??

50. A ladder is inclined to a wall making an angle of 30 degree with it. A man is ascending theladder at the rate of 2 meters/second. How fast is he approaching the wall?



51. A certain preparation consists of liquids X, Y and Z in the proportion 5:2:1. How many litersof the preparation can be made from a stock of materials consisting of 25 liters of X, 20liters of Y and 8 liters of Z?

52. Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes, and 10minutes respectively. When the tank is empty, all the three pipes are opened. A, B and Cdischarge chemical solutions P,Q and R respectively. What is the proportion of the solution Rin the liquid in the tank after 3 minutes?

53. A car travels from town A to town B at constant speed. If it increases speed by 20%. It willarrive 1 hour ahead of schedule. If it increases 25% after travelling the first 120 km at usualspeed, it will arrive 36 mins ahead. Find the distance from A to B.

54. The speed of a railway engine is 42 km per hour when no compartment is attached, and thereduction in speed is directly proportional to the square root of the number of compartmentsattached. If the speed of the train carried by this engine is 24 km per hour when 9 compartmentsare attached, what is the maximum number of compartments that can be carried by the engine?


56. There are 8 job applicants sitting in a waiting room;4 men and 4 women. If two of the applicantsare selected at random, what is the probability that both will be women?

57. If the average (arithmetic mean) of 16,20 and n is between 18 and 21 inclusive, what is thegreatest possible value of n?

58. If the individual marks of all the students are arranged in increasing order, which of thefollowing is a possible mark for the 36th position?

59. In a group of 5 men, no 2 men have the same age.The eldest man is 50 years old, and the youngest30 years old. If X years is the average age of the men in the group, which of the followingbest indicates all and only possible value of X?

60. On decreasing the price of T.V sets by 30%,its sale is increased by 20%.What is the effect onthe revenue received by the shopkeeper?



63. Three workers can do a job in 12 days. Two of the workers work twice as fact as the third. Howlong would it take one of the faster workers to do the job alone?

64. A tank can be filled by a tap in 20 minutes and by another tap in 60 minutes.Both the taps arekept open for 10 minutes and then the first tap is shut off.After this,the tank will becompletely filled in?

65. Two pipes A and B can fill a tank in 6 hours respectively.If they are opened on alternate hoursand if pipe A is opened first,in how many hours the tank shall be full?

66. Shahin is reviewing his algebra quiz. He has determined that one of his solutions is incorrect.Which one is it?

67. During a 5-day festival, the number of visitors tripled each day. If the festival opened on aThursday with 345 visitors, what was the attendance on that Sunday?

68. Jack has 5 pieces of string. He needs to choose the piece that will be able to go around his36-inch waist. His belt broke, and his pants are falling down. The piece needs to be at least4 inches longer than his waist so he can tie a knot in it, but it cannot be more that 6 incheslonger so that the ends will not show from under his shirt. Which of the following pieces ofstring will work the best? 6. At a company fish fry, ½ in attendance are employees. Employees'

spouses are ⅓ of the attendance. What is the percentage of the people in attendance who arenot employees or employee spouses?

69. Deba starts from a point that is on the circumference of a circle, moves 600 m towards theNorth and then again moves 800 m East and reaches a point diametrically opposite the startingpoint. What is the diameter of the circle?



70. The milk and water in two vessels A and B are in the ratio 4: 3 and 2: 3 respectively. In whatratio, the liquids be mixed in both the vessels so that the new liquid contains half milk andhalf water?

71. If there are 85 students in a statistics class and we assume that there are 365 days in a year,what is the probability that at least two students in the class have the same birthday (assumingbirthdays are distributed independently)?

72. If x is a positive integer and z is a non-negative integer such that (2,066)z is a divisor of3,176,793, what is the value of zx - xz?

73. Walking across campus, a student interviewed a group of students. 25% of the students took afinance class last semester, 50% took a marketing class last semester, and 40% took neither afinance nor a marketing class last semester. What percent of the students in the group tookboth a finance and a marketing class

74. The ratio of a compound, by weight, consisting only of substances x, y, and z is 4:6:10,respectively. Due to a dramatic increase in the surrounding temperature, the composition ofthe compound is changed such that the ratio of x to y is halved and the ratio of x to z istripled. In the changed compound, if the total weight is 58 lbs, how much does substance xweigh

75. Computer Games Plus needs to get rid of its copies of an old computer game. If it lowers thecost of the old computer game by $5 dollars, it can increase sales of the old computer game by10 units and still generate exactly $100 of revenue from the old game. How many units of theold computer game did Computer Games Plus sell after implementing the new selling strategy?

76. At a local appliance manufacturing facility, the workers received a 20% hourly pay raise dueto extraordinary performance. If one worker decided to reduce the number of hours that heworked so that his overall pay would remain unchanged, by approximately what percent would hereduce the number of hours that he worked?

77. Frances can complete a job in 12 hours, and Joan can complete the same job in 8 houTK. Francesstarts the job at 9 a.m., and stops working at 3 p.m. If Joan starts working at 4 p.m. tocomplete the job, at what time is the job finished?

78. There are 6 boxes numbered 1, 2,...6. Each box is to be filled up either with a red or a greenball in such a way that at least 1 box contains a green ball and the boxes containing greenballs are consecutively numbered. The total number of ways in which this can be done is

79. In a certain game, each player scores either 2 points or 5 points. If n players score 2 pointsand m players score 5 points, and the total number of points scored is 50, what is the leastpossible positive difference between n and m?


81. Glass was filled with 10 ounces of water, and 0.01 ounce of the water evaporated each dayduring a 20-day period. What percent of the original amount of water evaporated during thisperiod?

82. I randomly choose 3 different points among 2010 points evenly spaced on the circumference ofthe circle. The probability that the 3 points I choose from the vertices of a right trianglecan be written as A/B. If A and B are co-prime positive integers, find A+B?

83. A king ordered that a golden crown be made for him from 8 kg of gold and 2 kg of silver. Thegold smith took away some amount of gold and replaced it by an equal amount of silver and thecrown when made, weighed 10 kg. Archimedes knew that under water gold lost 1/20 th of itsweight, while silver lost 1/10 th. When the crown was weighed under water, it was 9.25 kg. Howmuch gold (in kg) was stolen by gold smith?

84. It took Marie 10 minutes to cut a board into 2 pieces. If she works just as fast, how long willit take for her to cut another board into 3 pieces? (Assuming you can only cut any piece intohalf)

85. Helen mixes a first solution, 4 liter of 40 % concentrated sulfuric acid solution, with asecond solution, 5 liter of sulfuric acid solution with strong concentration, and the resultantsolution is 9 liter of 50% concentrated sulfuric acid solution. What is the concentration, asa percent, of the second solution?



86. When a truck travels 60 miles per hour, it use 30 % more gasoline to travel any distance thanit does when it travels at 50 miles per hour. The truck can travel 20 miles on a gallon of gasif it is traveling 50 miles per hour. The truck has only 10gallon of gas and is 160 mile fromits destination. It takes 20 minute for the truck to stop for gas, How long will it take thetruck to reach its final destination if the truck driven at 60 mile per hour?

87. A man buys some pen and pencil. The pen cost Tk. 7 each & the pencil cost TK. 3 each. If hespends exactly Tk. 81 and buys the maximum number of pen possible under these conditions, findthe ratio of pen to pencil.

88. A bus uses one liter of diesel to travel 15 km. After an engine tune-up, the bus travels 15%farther on one liter. How many liters of diesel (to the nearest tenth) will it take for thebus to travel 150 km after a tune-up?

89. A clock loses (falls behind) 10 minutes each day. How many days will take to reach a pointwhere the clock will indicate the correct time?

90. A person has Tk. 950 in 29 notes consisting of Tk. 500, 100, 50 and 10. How many notes shouldat least be in TK. 50?

91. A store sells an item for TK. 1.50 each, or 3 items for TK. 3.50. If 202 items were sold andrevenue amounted to Tk. 279.00, how many of these items were sold one at a time?

92. A tea merchant blends 2 kinds of tea, putting in 3 parts of a Tk. 25 per kg grade to 1 part ofa TK. 15 per kg. If the mixture is changed to 1 part of the Tk.25 per kg grade to 3 parts ofthe less expensive grade, how much will the shop lose or save in blending 200 kg?

93. A shopkeeper sells a pair of sunglasses at a profit of 25%. If he had bought it at 25% lessand sold it for tk. 10 less, he would have gained 40%. Determine the cost price of the pair ofsunglasses.

94. The annual incomes and expenditures of a man and his wife are in the ratios of 5:3 and 3:1,respectively. If they decided to save equally and find a balance of tk. 4000 at the end ofyear, what was their income?

95. Two cars race around a circular track in opposite direction at a constant rate. They start atthe same point and meet every 30 seconds. If they move in the same direction they meet every120 seconds. If the track is 1800 meter long, what is the speed of the cars?

96. Two alloys A and B are composed of two basic elements. The ratios of the compositions of thebasic elements are 5:3 and 1:2 respectively. A new alloy, X is formed mixing the two alloys inratio of 4:3. What is the ratio of the compositions in new alloy, X?

97. A pipe is turned on to fill water into a cistern at the rate of 4 liters per minute. The cisternhas a leak which would empty it in 6 hours and the cistern is now emptied in 10 houTK. Determinethe capacity of the cistern.

98. 2 men and 3 boys can do a piece of work in 10 days while 3 men and 2 boys can do the work in 8days. In how many days can 2men and 1 boy do?

99. Among 30 students of a class 20 likes football and 15 like cricket. 10 of them like both ofthe games. How many of them don’t like any of the games?

100. A boatman takes 4 hours to go and return for 15 km. he takes the same time for going 5 km infavor of stream and 3 km in adverse of stream. What is the speed of boat and stream?

101. A pipe can fill a cistern by 12 minutes. Another pipe takes out 15 liters water in each minute.When the cistern is empty it is filled by 48 minutes while both of the pipes are open. What isthe capacity of the cistern?

102. Distribute tk 260 among A,B and C in such a way so that twice of A , thrice of B and quadrupleof C are equal.

103. The area of a rectangle field is 432 square mtr. The ratio the length and width of the fieldwith that of another field is 3:4 & 2:5 respectively. What is the area of another field?

104. A garments worker works on monthly based salary. The salary increases every year with aparticular amount. His monthly salary is 4500 after 4 years and 5000 after 8 yeaTK. What ishis basic salary and monthly increment?

105. The length of two sides of a triangular is 9 and 10 and their including angle is is 60 degree.What is the area of the triangle?

106. A machine P can print one lakh books in 8 hours, machine Q can print the same number of booksin 10 hours while machine R can print them in 12 houTK. All the machines are started at 9 A.M.



while machine P is closed at 11 A.M. and the remaining two machines complete work. Approximatelyat what time will the work (to print one lakh books) be finished?

107. A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls bedrawn from the box, if at least one black ball is to be included in the draw?

108. A, B and C start at the same time in the same direction to run around a circular stadium. Acompletes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at thesame point. After what time will they again at the starting point?

109. A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The secondcontains 50% water. How much milk should he mix from each of the containers so as to get 12litres of milk such that the ratio of water to milk is 3 : 5?

110. Aman started a business investing TK. 70,000. Rakhi joined him after six months with an amountof TK.. 1,05,000 and Sagar joined them with TK. 1.4 lakhs after another six months. The amountof profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively,3 years after Aman started the business?


112. A man wants to sell his scooter. There are two offers, one at TK. 12,000 cash and the other acredit of TK. 12,880 to be paid after 8 months, money being at 18% per annum. Which is thebetter offer?

113. Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is aproposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio ofincreased seats?

114. A train travelling at a speed of 75 mph enters a tunnel 3 miles long. The train is mile long.How long does it take for the train to pass through the tunnel from the moment the front entersto the moment the rear emerges?


116. A family consists of two grandparents, two parents and three grandchildren. The average age ofthe grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is6 yeaTK. What is the average age of the family?

117. If the purchasing price of 15 apples & selling price of 12 apples are the same, then how muchis the gain in percentage from?

118. A school has raised 75% of the amount it needs for a new building by receiving on averagedonation of TK60 from the people already solicited. The people already solicited represent 60%of the people the college are to raise exactly the amount needed for the new building, how muchmust the remaining people donate per person?

119. If -9≤x≤9 & 0≤y≤12. What is the greatest possible value of xy?120. Engr. Goni went to market with certain amount of money. With this money he can buy either 50

apples or 40 peaTK. He retains 10% of the money for bus fare and 20

121. PeaTK. How many apples can be buy?

122. In a class of 50 students. 10 did not opt. for math, 15 did not opt. for science and 2 did notopt. for either. How many students of the class opted for both math and science?

123. If 12ounces of a strong vinegar Explanation are diluted with 50 ounces of water from a threepercent vinegar Explanation. What was the concentration of the original Explanation?

124. If t is any integer, which of the following represents an odd number?125. If m & n are positive integers, which of the following must be an even integer?126. Two pipes A and B fill a tank in 15 hours and 20 hours respectively while a third pipe C can

empty the full tank in 25 houTK. All the three pipes are opened in the beginning. After 10hours C is closed. In how much time will the tank be full?

127. There are 15 buses running between Mirpur and Motijheel. In how many ways can a man go toMotijheel and return a different bus?



128. Man can hit a target once in 4 shots. If he fires 4 shots in succession. What is the probabilitythat he will hit his target?

129. A’s office is 4km due east of B’s office, C’s office is 6km due north of B’s office & 4km dueeast of D’s office. What is the straight line distance in km from A’s office to D’s?

130. A tradesman by means of false balance defrauds to the extent of 8% in buying goods and alsodefrauds to 7% in selling, it’s gain percent is—

131. Divide TK 600 amount A, B &C, So that TK 40 more than2/5th of A’s share, TK 20 more than 2/7thof B’s share and TK 10 more than 9/17th of C’s share may all be equal. What is A’s share—

132. A & B working alone can do a work in 9 & 12 days, if they work for a day alternatively, abeginning in how many days the work will be completed?

133. Which of the following equations has a root in common with x2 – 6x + 5 = 0?

134. A rectangular carpet has an area of 120 sq. meters and a perimeter of 46 meteTK. The length ofits diagonal is....

135. How many squares are there in a chess board if each player has got 16 pawns to play with?

136. In the middle of a round pool lies a water-lily. The water-lily doubles in size every day.After exactly 10 days the complete pool will be covered by the lily. After how many days willhalf of the pool be covered by the water-lily

137. During a car trip, Matin stopped to rest after he traveled ½ of the total distance to hisdestination. He stopped again after he traveled 1/4th of the distance remaining between hisfirst stop and his destination, and then he drove the remaining 120 miles to his destination.What was the total distance, in miles, from Matin’s starting point to his I destination?

138. If A3 is odd, which of the following is true?139. A recipe for 4 servings requires salt and pepper to be added in the ratio of 2:3. If the recipe

is adjusted to make 8 servings, what is the ratio of the salt and pepper that must now beadded?

140. A 140 liter mixture of milks and water contains 20% water. How much milk, in liter, must beadded to the mixture so that the new mixture will contain a water and milk ratio of 1 : 7?

141. If two planes leave the same airport at 1:00 p.m., how many miles apart will they be at 3:00p.m. If one travels directly towards north at 150 miles per hour and the other travels directlytowards west at 200 miles per hour?

142. A bank offers 5% compound interest calculated on half-yearly basis. A customer deposits tk.1600 each on 1st January and 1st July of a year. At the end of the year, the amount he wouldhave gained by way of interest is:

143. There is 80% increase in an amount in 8 years at simple interest. What will be the compoundinterest of tk. 14,000 after 3 years at the same rate?


145. In a 500 m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has a start of140 m. Then, A wins by:

146. A runs 1 2 ⁄3 times as fast as B. If A gives B a start of 80 m, how far must the winning postbe so that A and B might reach it at the same time?

147. There are two buildings P and Q. If 15 persons are sent from P to Q, then the number of personsin each building is the same. If 20 persons are sent from Q to P, then the number of personsin P is double the number of persons in Q. How many persons are there in building P?

148. A man invests some money partly in 12% stock at 105 and partly in 8% stock at 88. To obtainequal dividends from both, he must invest the money in the ratio:

149. The market value of a 10.5% stock, in which an income of tk. 756 is derived by investing tk.9000, brokerage being 1 ⁄4 %, is:

150. Mr. Himel invests a part of tk. 12,000 in 12% stock at tk. 120 and the remainder in 15% stockat tk. 125. If his total dividend per annum is tk. 1360, how much does he invest in 12% stockat tk. 120?

151. A man complete a journey in 10 houTK. He travels first half of the journey at the rate of 21km/hr and second half at the rate of 24 km/hr. Find the total journey in km.



152. A man goes to his office from his house at a speed of 3 km/hr and returns at a speed of 2km/hr. If he takes 5 hours in going and coming, what is the distance between his house andoffice?

153. A train can travel 50% faster than a car. Both start from point A at the same time and reachpoint B 75 kms away from A at the same time. On the way, however, the train lost about 12.5minutes while stopping at the stations. What is the speed of the car?

154. Joy is traveling on his cycle and has calculated to reach point A at 2 pm if he travels at 10kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel toreach A at 1 pm?

155. An athlete runs 200 metres race in 24 seconds. What is his speed?156. A can do a particular work in 6 days . B can do the same work in 8 days. A and B signed to do

it for tk. 3200. They completed the work in 3 days with the help of C. How much is to be paidto C?

157. Machine P can print one lakh books in 8 houTK. Machine Q can print the same number of books in10 hours while machine R can print the same in 12 houTK. All the machines started printing at9 A.M. Machine P is stopped at 11 A.M. and the remaining two machines complete work.Approximately at what time will the printing of one lakh books be completed?

158. Himel and Joy are working on a special assignment. Himel needs 6 hours to type 32 pages on acomputer and Joy needs 5 hours to type 40 pages. If both of them work together on two differentcomputers, how much time is needed to type an assignment of 110 pages?

159. A contract is to be completed in 56 days if 104 persons work, each working at 8 hours a day.After 30 days, of the work is completed. How many additional persons should be deployed so thatthe work will be completed in the scheduled time,each persons now working 9 hours a day.

160. Running at the same constant rate, 6 identical machines can produce a total of 270 bottles perminute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

161. On a scale of a map 0.6 cm represents 6.6km. If the distance between two points on the map is80.5 cm , what is the the actual distance between these points?

162. A hostel had provisions for 250 men for 40 days. If 50 men left the hostel, how long will thefood last at the same rate?

163. In a camp, food was was sufficient for 2000 people for 54 days. After 15 days, more people cameand the food last only for 20 more days. How many people came?

164. The angle between the minute hand and the hour hand of a clock when the time is 8.30, is165. The banker's gain on a sum due 6 years hence at 12% per annum is tk. 540. What is the banker's

discount?

166. The banker's discount of a certain sum of money is tk. 36 and the true discount on the samesum for the same time is tk. 30. What is the sum due?

167. Two stations P and Q are 110 km apart on a straight track. One train starts from P at 7 a.m.and travels towards Q at 20 kmph. Another train starts from Q at 8 a.m. and travels towards Pat a speed of 25 kmph. At what time will they meet?

168. A fair coin is to be tossed 100 times with each toss resulting in a head or a tail. If H isthe total number of heads and T is total number of tails, which of the following events hasthe greatest possibility?

169. A train running at 36 kmph passes another train in 12 second, which is half of its length,running in the opposite direction at 54 kmph. If it also passes a railway flatform in 1.5min,what is the length of the flatform?

170. The ratio of income of Kamran and Dolon is 3:4. The ratio of their expenditures is 4:5.Findthe ratio of their savings if the savings of Kamran is one fourth of his income?

171. A picnic was arranged by M students. Total cost of the picnic was estimated to by Y taka.Unfortunately, Z students withdrew their names from the picnic . How many more taka would eachof the remaining students have to pay?

172. Arman wanted to have TK 39,000 as interest after 5 yeaTK. He has invested an amount in anaccount for 1 year at 8% interest rate. From the second year, he invested the principal amountin another account offering 10% interest for 3 yeaTK. At the beginning of the fifth year, heinvested the principal amount in another account at the rate of 11%. What is the principalamount? (assume simple interest rate)



173. A 5% monthly salary increase resulted in a salary increase of 6000 per year for an employee.What was his monthly salary before the increase?

174. If selling price doubled, the profit triples. Find the profit percent?175. A person walking 5/6 of his usual rate is 40 minutes late. What is his usual time?176. An article is sold at 20% profit. If its cost price is increased by TK 50 and at the same time

if its selling price is also increased by TK 30, the percentage of profit decreases by 10/3%.Find the cost price.

177. The number of parallelograms that can be formed from a set of four parallel lines intersectinganother set of three parallel lines is

178. If a train runs at 40 kmph, it reaches its destination late by 11 minutes but if it runs at 50kmph, it is late by 5 minutes only. The correct time for the train to complete its journey is:

179. 2 pipes A and B can fill a tank in 36 minutes and 45 minutes respectively. Waste pipe C canempty the tank in 30 minutes A and B are opened. After 7 minutes, C is also opened. In how muchtime, the tank is full?

180. In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed forthe trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. Find out theduration of the flight.

181. A car traveled 75% of the way from town A and B at an average speed of 50 mph. The car travelsat an average speed of S mph for the remaining part of the trip. The average speed of theentire trip was 40 mph. What is the value of S?

182. One day Mr. Wahid started 30 minutes late from home and reached his office 50 minutes late,while driving 25% slower than his usual speed. How much time in minutes does Mr. Wahid take toreach his office from home?

183. A 12 gallon tub has a faucet that lets water in at the rate of 3 gallons per minute and has adrain that lets water out at a rate of 1.5 gallons per minute. If you start with 3 gallons ofwater in the tub, how long will it take to fill the tub completely?

184. Of the total no. of oranges that arrive at a juice company, 20% by weight is rejected beforeprocessing. Of the oranges that are processed, 15% by weight is rejected before being juiced.Of the oranges that are juiced, 25% are wasted as result of juice making. Of the oranges, thosearrive at the company, what percent by weight is juiced?

185. Ratan and Moinul have started a business taka 2.5 and 3.5 million respectively. After fourmonths, Ratan gave in 5 lakh taka more Moinul withdrew 5 lakh taka. If the ending profit of ayear is 12.92 million taka, what will be the profit share of Moinul in million taka?

186. In a cricket championship tournament, Team Dhaka has won 30 games out of 50 played. It has 45more games to play. In order to maintain an average of 80% victory rate, then Dhaka has to winhow many more games?

187. 1 year ago the ratio between A’s and B’s salary was 3:4. Ratios of their individual salarieslast year’s and this year’ salaries are 4:5 and 2:3. At present the total of their salary isTK 4160. How much is the salary of A now?

188. A can do a piece of work in 10 days. While B alone can do it in 15 days. They worked togetherfor 5 days and the rest of the work is done by C in 2 days. If they get 450 for whole work,how much money C should get from the work?

189. In a garden there are 10 rows and 12 columns of trees. The distance between any two trees is 2m and a distance of 1 m is left from all sides of the boundary of the garden. What is thelength of the garden?

190. P starts jogging from point X to point Y. 30 minutes later his friend R who jogs 1 km/hr slowerthan twice P’s rate starts from the same point and follows the same path, if R overtakes P in2 hours, how many kilometers will R have covered?

191. Zico and Bipul each saved Tk 5000 in 2012.In 2013, Bipul saved 10% more than what he saved theprevious year and together they both saved a total of Tk 9000 that year. Approximately whatpercent less did Zico save in 2013 compared to 2012

192. Laboni bought a 1-year Tk 10000 certificate of deposit that paid an interest at an annual rateof 8% compounded semiannually. What was the total amount of interest paid on this certificateat maturity?



193. The cost in TK of manufacturing x microwaves is 6000+300x taka. The amount received when sellingthese x microwaves is 700x taka. What is the least number of microwaves that must bemanufactured and sold so that the net profit is TK 2400?

194. The population of a country doubled every 10 years from 1980 to 2010. What was the percentincrease in population during the period?

195. A man deposited TK 50000 at a certain interest for 1 year. After 1 year, he received TK 55,280 as both principal and interest after deduction of TK 120 as government levy and 10% oninterest as government tax. What was the interest rate in percentage?

196. X can do a work in 12 days. Y is 60% more efficient than X. How many days will Y require tocomplete the work?

197. A certain cake recipe states that the cake should be baked in a pan 8 inches in diameter. IfSalma wants to use the recipe to make a cake of the same depth but 12 inches in diameter, bywhat factor should she multiply the recipe ingredients?

198. In a concert, 100 tickets were sold in two unequal lots, at two different rates. First lot wassold at TK.5 per ticket and the second lot was sold at TK. 3.5 per ticket. If the total salesproceeds was TK. 410, how many people got the cheaper tickets?

199. You can rent a bungalow on daily basis at Taka 500 per day or on monthly basis at Taka 10,000per month,how much can you save annually by renting on monthly basis?

200. Jalal started work 2 years ago.His starting salary was ½ of Millats salary at that time. Eachyear since then Jalal has received a raise 5% in his salary and Millat has received a raise of10% in his salary.What percentage (to the nearest percent) of Millats current salary is Jallascurrent salary?

201. 70 students are enrolled in management, Accounting and Marketing.40 students are inManagement,35 are in Accounting and 30 are in Marketing .15 student are enrolled in all threecourses.How many of the students are enrolled in exactly two of the course?

202. Recentlly, Sohans hourly wage has been increased by 10 percent. Before this increase, sohanstotal weekly wagea was $ 137.If his weekly hours were to decrease by 10 percent from last weekstotal hours, what would be the change, if any in shoans total weekly wage?

203. Coins are to be put into 7 pockets so that each pocket contains at least one coin.At most 3 ofthe pockets are to contain the same number of coins and no two of the remaining pockets areto contain an equal number of coins. What is the least possible number of coins needed for thepockets?

204. Of the 65 cars on a car lot , 45 have air conditioning, 30 have power windows and 12 have bothair conditioning & power windows. How many of the cars on the lot have neither air conditioningnor power windows?

205. The inside dimensions of a rectangular wooden box are 6 inches by 8 inches by 10 inches. Acylindrical canister is to be placed inside the box so that it stands upright when the closedbox rests on one of its six faces. Of all such canisters that could be used, what is the radiusin inch as of the one that has maximum volume?

206. A certain football team that has played 2/3 of its games has a record of 17 wins and 3losses.what is the largest number of the remaining games that the team can lose and still winat least ¾ of all of its game?

207. Danesh and sham, who lives 10 miles apart,meet at a café that is directly north of Daneshshouse and directly east of shams house.If the café is 2 miles closer to Danesh house than toshams house,how many miles is the café from shams house?

208. There were 36,000 hardback copies of a certain novel sold before the paperback version wasissued. From the time the first paperback copy was sold until the last copy of the novel wassold, 9 times as many paperback copies as hardback copies were sold. If a total of 441,000copies of the novel were sold in all,how many paperback copies were sold?

209. For a certain performance, x tickets for lower-level seats were sold at Tk. 10 each and ytickets for balcony seats were sold at Tk. 6 each. If there were no other tickets sold and thenumber of tickets sold for lowe-level seats was 3 times the nuber of tickets sold for balconyseats, which of the following expresses the total number of dollars from ticket sales in termsof X?

210. Each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper andthe ten slips are dropped into a hat. If the slip are then drawn one at a time without



replacement, how many must be drawn to ensure that the numbers on two of the slips drawn willhave a sum of 10?

211. To mix a certain color paint. Alana combines 5 liters of red paints, 2 liters of blue paint,and 2 liters of yellow paint. What is the ratio of red paint to the total amount of paint?

212. A two digit number has 3 in its unit digit. The sum of its digits is one seventh of the numberitself. What is the number ?

213. If a and b are integers such that a+b=5, which of the following must be true?

214. A candidate scoring 25% marks in an examination fails by 30 marks while another candidate whoscores 50% marks gets 30 marks more than the pass mark.What is the pass mark?

215. A man deposited Tk. 50,000 at a certain interest for 1 year. After 1 year he received Tk,55,280 as both principal and interest after deduction of Tk. 120 as government levy and 10% oninterest as government tax.What was the interest in parcentage?

216. The remainder when the positive integer m is divided by n is r. What is the remainder when 2mis divided by 2n ?

217. A worker is hired for 7 days. Each day, he is paid 10 dollars more than what he is paid forthe preceding day of work. The total amount he was paid in the first 4 days of work equaledthe total amount he was paid in the last 3 days. What was his starting pay?

218. A set has exactly five consecutive positive integers starting with 1. What is the percentagedecrease in the average of the numbers when the greatest one of the numbers is removed fromthe set?

219. Of the three numbers, the first is twice the second and is half of the third. If the averageof three numbers is 56, the smallest number is?

220. 40% of the employees in a factory are workeTK. All the remaining employees are executives. Theannual income of each worker is $390. The annual income of each executive is $420. What is theaverage annual income of all the employees in the factory together?

221. The difference between two numbers is 13.The largest number is 1.5 times the smallest number?What is the smallest number?

222. Ayesha is 1/6 of his farher's age. After ten years ayesha's father will be twice of Shankar'sage. 2 years age Shankar celebrated his 8th birthday. What is the Ayesha's present age?

223. Javed is as much younger to Anam as he is older to Pintu. If the sum of the ages of Anil andPintu is 48 years, what is the age of Javed?

224. The total income of Mr. Teng in the years 2003, 2004, and 2005 was $36,400. His income increasedby 20% each year. What was his income in 2005?

225. In a class 120 students are finance major and 100 student are marketing major 25% of the financemajor students and 20% of the marketing student are male. 20% of male finance students and 25%of the male marketing students passes the final exam. What percent of male student passed theexam?

226. A man spends 75% of his income. His income is increased by 20% and he increased his expenditureby 10%. His savings are increased by?


228. A owns a house worth tk. 10000. He sells it to b at a profit of 10% based on the worth of thehouse. B sells the house back to at a loss of 10%. In this transaction A gets:

229. If $ 1were invested at 8% interest compounded annually, the total value of the investment, indollars, at the end of 6 years would be

230. A is twice as fast as B and B is thrice as fast as C is. The journey covered by C in 42 minutes,will be covered by A in

231. The ratio between the rates of travelling of A & B is 2:3 and therefore A takes 10 min. morethan the time taken by b to reach a destination. If A had walked at double the speed, he wouldhave covered the distance in?

232. A train 100 meters long moving at a speed of 50 km/h crosses a train 120 meters long comingfrom opposite direction in 6 seconds. The speed of second train is?

233. A man sees a train passing over a bridge 1 km long. The length of the train is half that ofthe bridge. If the train clears the bridge in 2 minutes, the speed of the train is?



234. The current of a streams runs at 1 km/h. A motor boat goes 35 km upstream and back again tothe starting point in 12 houTK. The speed of motorboat in still water is?

235. A man can cross 10 miles distance of a river in favor of the streams in 2 houTK. He can comeback against the stream along the same way in 5 houTK. What is the average speed, in miles perhour, for the entire trip?

236. A can do a piece of work in 10 days, B in 15 days. They work together for 5 days and the restof the work is done by C in 2 days. If they get taka 4500 for the whole work, how should theydivide the money?

237. A, B and C can do a piece of work in 36, 54 and 72 days respectively. They started the workbut A left 8 days before the completion of the work. While b left 12 days before the completion.The number of days for which c worked is?

238. 3 pipes A, B and C can fill a tank in 6 houTK. After working at it together for 2 hours, c isclosed and A and B can fill the remaining part in 7 houTK. The number of hours taken by C aloneto fill the cistern, is?

239. The average age of a class 15.8.The average of boys 16.4 and girls240. 15.8. Then find out the ratio of boys and girls?241. If x2 – y2 = 16 and x + y > x – y, then which one of the following could x – y equal?

242. A, B and C enter into partnership. A invests some money at the beginning, B invests double theamount after 6 months and C invests thrice the amount after 8 months. If the annual profit beTk. 18000, c’s share is?

243. There are 200 questions on a 3-hour examination. Among these questions 50 are mathematicsproblems. It is suggested that twice as much time be spent on each math problem as for eachother question. How many minutes should be spent on mathematics problems?

244. A rectangular carpet covers half of a rectangular floor that is 9 feet wide and 12 feet long.If the dimensions of the carpet are in the same ratio as those of the floor, then what is thelength of the carpet?

245. If x is not a negative number, what is the maximum possible value of 22- 3x?

246. If A gets 2 taka from B, they will have same amount of money. If B gets 2 taka from A, he willhave thrice as much money as A. How much money did B had?

247. Gold is 9 times as heavy as water and copper 5 times as heavy as water. The ratio in whichthese two metals be mixed so that the mixture is 15 times as heavy as water, is?

248. X can do a work in the same time in which Y & Z together can do it. If X & Y together can doit 10 days, and Z alone can do it in 50 days, how many days will Y require to do the workalone?

249. 12 men and 18 boys working 7.5 hours a day can do a work in 60 days. If 1 man works equal to 2boys, then the number of boys required to help 21 men to do twice the work in 50 days, working9 hours a day will be?

250. A man deposited tk. 50,000 at a certain interest for 1 year. After 1 year, he received Tk.55,280 as both principal and interest after reduction of Tk. 120 as government levy and 10% oninterest as government tax. What was the interest rate in percentage?

251. One day Mr. B started 30 minutes late from home and reached his office 50 minutes late, whiledriving 25% slower than his usual speed. How much time in minutes does Mr. B usually take toreach his office from home?

252. A father divided his property between his two sons A & B. A invests the amount at compoundprofit of 8% p.a. B invests the amount at 10% p.a. simple interest. At the end of 2 years, theprofit received by B is tk. 1336 more than the profit received by A. Find the share of A & Bin the father’s property of tk. 25,000?

253. If a number of two digits is divided by the product of its digits, the quotient is 3. When 18is added to the number the digits of the number change their places. Find the number?

254. A & B are friend. Each has some money. If A gives Tk. 30 to B, then B will have twice the moneyleft with A. but if B gives Tk. 10 to A, then A will have thrice as much as is left with B.How much money does each have?

255. 4000 soldiers in a camp have enough food for 190 days. After 30 days, 800 soldiers are postedelsewhere. How long would they remain food last?



256. A reduction of 21% in the price of wheat enables a person to buy 10.5 kg more for Tk. 100.whatis the reduced price per kg?

257. By walking AT ¾ of his usual speed, a man reaches his office 20 minutes later than usual. Hisusual time is?

258. The remainder when the positive integer m is divided by n is r. What is the remainder when 2mis divided by 2n ?

259. A worker is hired for 7 days. Each day, he is paid 10 dollars more than what he is paid forthe preceding day of work. The total amount he was paid in the first 4 days of work equaledthe total amount he was paid in the last 3 days. What was his starting pay?

260. A set has exactly five consecutive positive integers starting with 1. What is the percentagedecrease in the average of the numbers when the greatest one of the numbers is removed fromthe set?

261. Of the three numbers, the first is twice the second and is half of the third. If the averageof three numbers is 56, the smallest number is:

262. 40% of the employees in a factory are workeTK. All the remaining employees are executives. Theannual income of each worker is $390. The annual income of each executive is $420. What is theaverage annual income of all the employees in the factory together?

263. The difference between two numbers is 13.The largest number is 1.5 times the smallest number?What is the smallest number?

264. Ayesha is 1/6 of his farher's age. After ten years ayesha's father will be twice of Shankar'sage. 2 years age Shankar celebrated his 8th birthday. What is the Ayesha's present age?

265. Javed is as much younger to Anam as he is older to Pintu. If the sum of the ages of Anil andPintu is 48 years, what is the age of Javed?

266. The total income of Mr. Teng in the years 2003, 2004, and 2005 was $36,400. His income increasedby 20% each year. What was his income in 2005?

267. In a class 120 students are finance major and 100 student are marketing major 25% of the financemajor students and 20% of the marketing student are male. 20% of male finance students and 25%of the male marketing students passes the final exam. What percent of male student passed theexam?

268. A man spends 75% of his income. His income is increased by 20% and he increased his expenditureby 10%. His savings are increased by?


270. A owns a house worth tk. 10000. He sells it to b at a profit of 10% based on the worth of thehouse. B sells the house back to at a loss of 10%. In this transaction A gets:

271. If $ 1were invested at 8% interest compounded annually, the total value of the investment, indollars, at the end of 6 years would be?

272. A is twice as fast as B and B is thrice as fast as C is. The journey covered by C in 42 minutes,will be covered by A in:

273. The ratio between the rates of travelling of A & B is 2:3 and therefore A takes 10 min. morethan the time taken by b to reach a destination. If A had walked at double the speed, he wouldhave covered the distance in:

274. A train 100 meters long moving at a speed of 50 km/h crosses a train 120 meters long comingfrom opposite direction in 6 seconds. The speed of second train is:

275. A man sees a train passing over a bridge 1 km long. The length of the train is half that ofthe bridge. If the train clears the bridge in 2 minutes, the speed of the train is:

276. The current of a streams runs at 1 km/h. A motor boat goes 35 km upstream and back again tothe starting point in 12 houTK. The speed of motorboat in still water is:

277. A man can cross 10 miles distance of a river in favor of the streams in 2 houTK. He can comeback against the stream along the same way in 5 houTK. What is the average speed, in miles perhour, for the entire trip?

278. A can do a piece of work in 10 days, B in 15 days. They work together for 5 days and the restof the work is done by C in 2 days. If they get taka 4500 for the whole work, how should theydivide the money?



279. A, B and C can do a piece of work in 36, 54 and 72 days respectively. They started the workbut A left 8 days before the completion of the work. While b left 12 days before the completion.The number of days for which c worked is:

280. 3 pipes A, B and C can fill a tank in 6 houTK. After working at it together for 2 hours, c isclosed and A and B can fill the remaining part in 7 houTK. The number of hours taken by C aloneto fill the cistern, is:

281. The average age of a class 15.8.The average of boys 16.4 and girls282. 15.8. Then find out the ratio of boys and girls?283. If x2 – y2 = 16 and x + y > x – y, then which one of the following could x – y equal?

284. How many different strings of letters can be made by the letters of the word SUCCESS?285. The lions club has a target of raising at least tk.500 thousand. It has already raised tk.100

thousand. The club is sponsoring a Pitha Festival and charging tk.5000 per ticket.Which equationrepresents the number of tickets (t) that the club must sell to meet its target?

286. Rana makes a 40%profit by selling his home but losses 12% of the profit to taxes.what is thenet % of profit Rana makes on the sale?

287. Before the budget ,a businessman had increased the price of his product by 12%.In the budget,a 10% sales tax (to be paid by the seller)was imposed on that product.As a result ,the profitultimately increased by tk.64 .what was the original selling price?

288. A seller gave 5% discount on the tag price of a book and made a profit of 25% on cost.If thecost of the book was tk.380, what was the tag price?

289. Two outlets of a motor manufacturing company reported that revenue from outlet x in2013 wasdown 11%from 2012and revenue from outlet Y in 2013 were up 7% from 2012.If total revenue fromoutlet X & Y in 2013 was up 1%from 2012.what is the ratio of revenue from outlet X in 2012 torevenue from outlet Y in 2012?

290. A school has raised 75% of the amount it needs for a new building by receiving an averagedonation of tk.60 from the people already solicited. The people already solicited represent60% of the people the college will ask for donation.If the college is to raise exactly theamount needed for the new building, how much must the remaining people donate per person?

291. What decimal of an hour is a second?

292. Two glasses contain milk and water .in the first glass the ratio of milk to water is 3:2 andin the second glass the ratio of milk and water is reverse of that in first glass. What partof the mixture from first glass should be drawn out added to the second glass, so that milkand water will be in equal quantities in the second glass?

293. A predator is chasing its prey. The predator takes 4 leaps for every 6 leaps of the prey andthe predator covers as much distance in 2 leaps as 3 leaps if the prey. Will the predatorsucceed in geting it's food?

294. Last year, the ratio of salary of X and Y was 1:2 and that of X and Z was 1:3. This yeareveryone got an increment of BDT 1000. If Z is drawing salary BDT 25,000 in this year, What isthe salary of Y in BDT this year?

295. Two boys begin together to write out a booklet containing 535 lines. The first boy starts withthe first line, writing at the rate of 100 lines an hour and the second starts with the lastline then writes line 534 and so on, backward proceeding at the rate of 50 lines an hour. Atwhat line will they meet?

296. Two vessels A and B contain spirit and water in the ratio 5:2 and 7:6 respectively. Find theratio in which these mixture be mixed to obtain a new mixture in vessel C containing spiritand water in the ration 8 : 5 ?

297. If 2% rate increases, the sum of money increases by tk 108.If the year increases by 2,then thesimple interest increases by tk 180.

298. What is the sum of money?299. Mr. Hasan has few notes of Tk. 10 and Tk. 50. A total of his 150 notes amount to Tk.5100. What

is the number of each kind of note?

300. a, b, c, d, e are 5 consecutive numbers in increasing order, deleting one of them from the setdecreased the sum of the remaining numbers by 20% of the sum of 5. Which one of the number isdeleted from the set?



301. A book and a pen were sold for tk 3040 making a profit of 25% on the book and 10% on the pen.By selling them for tk 3070, the profit realizes would have been 10% on the book and 25% onthe pen. Find the cost of each.

302. A and B together can do a piece of job in 12 days, which B and C together can do in 16 days.After A has been working at it for 5 days and B for 7 days C finishes in 13 days. In how manydays C alone will do the work?

303. Two train A and B start from stations X and Y towards Y and X respectively. After passing eachother, they take 4 hours 48 minutes and 3 hours 20 minutes to reach Y and X respectively. Iftrain A is moving at 45km/hr, then find the speed of train B.

304. Two varieties of sugar are mixed in a certain ratio. The cost of the mixture per kg is Tk 0.50less than that of the superior variety and Tk 0.75 more than that of the inferior variety. Whatwas the ratio of superior variety to inferior variety in the mixture?

305. In a shop, 40% socks are white & rest is black, 60% socks are made of cotton & rest is made ofwool. 25% white socks are made of cotton & 20 of the black socks are made of wool. How manyblack socks are made of cotton?

306. A ,B & C enter into partnership by investing in the ratio 3:5:7. After a year, C invests anotherTk. 337600 while A withdraw Tk. 45600. The ratio of investments then changes to 24:69:167. Howmuch did A invest initially?

307. The percentage profit earned by selling an article for Tk. 1920 is equal to the percentage lossincurred by selling the same article for Tk. 1280. At what price should the article be sold tomake 25% profit?

308. An estate value value at tk 12000 is divided among three person A,B and C.if A surrender 15%of the share, then the share of B and C are respectively increased by 10% and 25%.again if Asurrender 20% ,then the share of B and C is respectively increased by 15% and 30% .find theshare of each?

309. Two similar triangles have areas of 18 cm square and 32 cm square. If the base of the smallertriangle is 6 cm, find the base of the larger triangle.

310. The amount of profit earned by selling a product for 900 is double the loss incurred by sellingthe products at 450 tk. What is the cost price at 25% profit?

311. A train which travels at a uniform speed due to some mechanical fault after traveling for anhour goes at 3/5th of the original speed and reached the destination 2hrs late.if the faulthad occurred after traveling another 50miles,the train would have reached 40mins earlier. Whatis the distance between the two stations?

312. For every Christian person in a representative committee there are two Hindus and for eachHindu person there are seven Muslims. This policy represents the ratio of different religionsin a population. Express the ratio of Muslims to Hindus to Christians in that population?

313. Two metals A and B are 900% and 200% respectively heavier than water. If there two metals makean alloy which is 6 times heavier than water, what is the ratio of the two metals in the alloy?

314. Two different companies, X & Y, have the same number of workeTK. The ratio of the male workersin company X & the male workers in company Y is 2:1 and the ratio of the female workers incompany X and the female workers in company Y is 4:5. What is the ratio of the male workers tothe female workers in company X?

315. Karib has four ties, 13 shirts and 5 belts. If each day he wears exactly one tie, one shirtand one belt, what is the maximum number of days he can go without repeating a particularcombination?

316. A train leaves station X for station Y. At 8:20 am, when the train has crossed one fifth ofthe way to station Y, it passes station A at 8:30 am, when the train has crossed one third ofthe way to station Y, it passes station B. At what time does the train leave station X?

317. Two alloys A and B are composed of two basic elements. The ratios of the compositions of thetwo basic elements in the two alloys are 5:3 and 1:2. A new alloy X is formed by mixing thetwo alloys A & B in the ratio 4:3. What is the ratio of the composition of the two basicelements in alloy X?




319. A man walks 30 minutes at an average speed of 3 miles/houTK. He waits 10 minutes for a bus,which back him to his starting point at 3:15.If he began his walk at 2:25 the same afternoon.Find out the average speed of the bus.

320. A milk vendor has 2 cans of milk. The first can contains 25% water and the rest is milk. Thesecond can contains 50% water. How much milk should he mix from each of the cans respectivelyso as to get 12 liters of milk such that the ratio of water to milk is 3:5 in that mixture?

321. Mixture X is 40% peanut and 60% hazel nut by weight, mixture Y is 25% peanut and 75% cashewnut. If a mixture of X and Y contain 30% peanut, what percent of the weight of this mixture isX?



324. The length of a rectangular plot is 20 meters more than its breadth. If the cost of fencingthe plot at 26.50 per meter is Tk. 5300, what is the length of the plot in meters?

325. A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If thearea of the field is 680 sq. feet, how many feet of fencing will be required?

326. A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is theprobability that none of the balls drawn is blue?

327. In a club the ratio of men and women is 16:7. The ratio of married men and married women is4:3. Calculate the percentage of married men if 60% of the women are married.

328. A two-digit number is such that the product of the digits is 8. When 18 is added to the number,then the digits are reversed. The number is?


330. Mr. Hasan has few notes of Tk. 10 and Tk. 50. A total of his 150 notes amount to Tk.5100. Whatis the number of each kind of note?

331. a, b, c, d, e are 5 consecutive numbers in increasing order, deleting one of them from the setdecreased the sum of the remaining numbers by 20% of the sum of 5. Which one of the number isdeleted from the set?


333. A female worker takes half as much time as two male workers take to do the same work. A maleworker can do a work in 50 days. If a female worker starts doing the work alone and after 10days of work gets assistance from another woman, in how many days the work will complete?

334. The different between a two-digit number & the number obtained by interchanging the digits is36. What is the different between the sum & the difference of the digits of the number if theratio between the sum & the difference of the digits of the number if the ratio between thedigits of the number is 1:2?

335. One-fifth of the products made by company is defective. Four-fifth of the effectives wererejected & one-twentieth of the products were rejected by mistake. What percent of the productssold by the company is defective?

336. Karim deposited a certain amount of money for a fixed period if time. On maturity he receiveda total of Tk 45000 when the ratio of interest and investment became 2:5. If interest rate was3.6%, calculate the time period for which money was invested.

337. A sales person's monthly salary is tk5000. He earns as commission 5% on all sales between tk20000 and 60000 and 8% on all sales exceeding tk 60000. In addition, he gets a fixed bonus of



tk 1000 if his monthly sales exceed tk 100000. If in a month his total income was tk 10400,what his total sales?

338. A boy covers a distance of 6 kilometers partly by walking & partly by cycling. If he cycles at18 kilometers per hour & walks at 6 kilometers per hour & takes 35 minutes in all, find thedistance he covers by walking.

339. A cargoes 15 miles on a gallon of octane when it is driven at 50 miles per hour. When the caris driven at 60 miles per hour, it only goes 80% as far. How many gallons of octane is neededto travel 200 miles if half the distance is travelled at 50 miles per hour and the rest at 60mph?

340. Jesmin spent one-third of her money on books and half of the remaining money on clothing. Shethen spent three-fourths of what she had left on food. She had Tk. 500 left over. How

341. much money did she start with?342. In an election only 75% of the total eligible voters voted for their representatives, the

winning candidate got 55% of the votes cast and he beat his only rival by 75000 votes. What isthe total number of voters in the collection?

343. Masud can do a job in 40 days working alone. Karim can do the same job in 60days working alone.They start working together and worked for 18days, when Harun joined them. The three men workedtogether and finished the job in 5days. In how many days could Harun do the whole job workingalone

344. M is a girl and has same no. of brothers as sisteTK. N is a boy and has twice as many sistersas brotheTK. M and n are the children of q. How many children does q has?

345. A boat went away from the shore with the speed of flow (joar) about 7.50 Km in 2 hTK. The boathad reoccupied in 3 hrs with the help of daar(noukar daar). What as the speed of boat duringreoccupying?

346. A person wishes to accumulate taka 150000 by the end of 15 years by making equal half yearlydeposits over the next 15 yeaTK. if he earns 10% on the investment how much must he deposit atthe end of each half year?

347. In dividing a number by 585, a student employed the method of short division. He divided thenumber successively by 5, 9 and 13 and got the remainders 4, 8, 12 respectively. If he haddivided the number by 585, what would have been the remainder?

348. A, B and C enter into a partnership by investing in the ratio of 3:2:4. After one year, Binvests another TK 270000. At the end of three years profits with a new manager, then theaverage salary of the team went

349. 35 % of a group of 70 researchers will be assigned to team A and the remaining 65 % to team B.However 60 % of the researchers prefer team A and 40 % prefer Team B. What is the least possiblenumbers of researchers who will not be assigned to the team they prefer?

350. 2 men & 5 women completed only 1/4th position of a job in 3 days , After 3 days another manwas included in the team and in 2 days they completed another 1/4th portion of the job. Howmany men (with no women) can complete the whole job in 4 days?

351. padma purched 30kg of rice at the rate of tk 17.50 per kg and another 30kg rice at a certainrate.he mixed the two and sold the entire quantity at the rate of tk.18.60 per kg and made 20%overall profit. at what price per kg did he perchase the lot of another 30 kg?

352. In a certain school, 20% of students are below 8 years of age. The number of students above 8years of age is 2/3 of the number of students of 8 years of age which is48. What is the totalnumber of students in the school?

353. A digital 12 hr clock falls behind 10 min each day. How many days will it take to reach a pointwhere the clock will indicate the correct time?

354. One clock gains 15 seconds per day and another loses 45 seconds per day. After what length oftime will the first clock be 12 hours ahead of the second?

355. 1 year ago ratio between A & B salary was 3:4. Ratios of their individual salaries between lastyear & this years are 4:5 & 2:3 respectively. At present total of their salary is tk 4160. thesalary of A now is?

356. Recently, Sobhan' s hourly wage has been increased by 10% , Before the increase , Sobhan' stotal weekly wage tk.137. If his weekly hours were to decrease by 10% from last week's totalhours, What would be the change in Sobhan' s total weekly wage?



357. The water in a fish tank measuring 5/4 feet by 8 inches is 7 inches high. the water is pouredinto another tank measuring 14 inches by 20 inches. What will be the height of water, in inches,in the second tank?

358. Suppose you deposited tk 10000 on january 1. 2012 at 12.50% interest rate for 1 year. On july1 2013 tk 15000 at 12% interest rate for 6 months and on october 1 2013 tk 20000 at 22.5%interest rate for 3 months (assume that the stated interest rates are simple and annual).Suppose you withdrew all deposits including due interests on december 31. 2013. Calculate theoverall annual rate of interest you have received.

359. Abdul lent Tk. 5000 to Bokul for 2 years and Tk. 3000 to Chunnu for 4 years on simple interestat the same rate of interest and received Tk. 2200 in all from both of them as interest. Whatis the rate of interest per annum?

360. A businessman, before closing his shop,counted the money kept in the cash box & found thatthere were x number of 50 paisa coins, x number of 1 tk.notes, x number of 2 tk.notes & xnumber of 5 tk.notes, Apart from these,there was nothing else in the box.The next day ,when heopened his shop he found the cash box had been stolen. As he was insured ,he got tk.1615,whichis 95% of the stolen money, from the insurance company. How many 2 tk.notes were there in thecash box?

361. Working alone, Printers X, Y, and Z can do a certain printing job, consisting of a large numberof pages, in 12, 15, and 18 hours, respectively. What is the ratio of the time it takes PrinterX to do the job, working alone at its rate, to the time it takes Printers Y and Z to do thejob, working together at their individual rates?

362. A department store receives a shipment of 1000 shirts, for which it pays Tk. 9000. The storesells the shirts at a price 80% above cost for one month, after which it reduces the price ofthe shirts to 20% above cost. The store sells 75% of the shirts during the first month and 50%of the remaining shirts afterward. How much gross income did sales of the shirts generate?

363. Had traveled 1/3rd of the total distance of his trip when his car broke down. He finished thejourney on foot, spending twenty times as long walking as he had spent driving. How many timesfaster was his driving speed than his walking speed?

364. If a typewriter can type 125 pages, 36 lines each and 11words to each line in 5 days , how manypages of 30 lines each and 12 words to each line can he type in 6 days how?

365. Machine X takes 2 days longer to produce W widgets than Machine Y. At this rates, if the machinetogether produce 5W/4 widgets in 3 days longer, how many days would it take Machine X alone toproduce 2W widgets?

366. A shopkeeper who sells ,on an average ,18 pencils & 12 markers per day .The profit from apencil is 1/3 times the profit made by selling a marker .If he makes a profit of tk.900 in amonth(a month consists of 30 days) by selling pencils, how much profit do make per month byselling markers?

367. Mr. X signed a contract for building a road of 1920 meters long within 120 days. He employed160 workers for this task. But after 24 days he found that only 1/8 of the task has beenfinished, if Mr. X wants to finish the road in time how many additional workers he has toemploy?

368. The water in a fish tank measuring 5/4 feet by 8 inches is 7 inches high. The water is pouredinto another tank measuring 14 inches by 20 inches. What will be the height of water, in inches,in the second tank?

369. A does half as much work as B in three-fourth of the time. If together they take 18 days tocomplete a work, how much time shall B take to do it?

370. A and B together can do a piece of work in 12 days, which B and C together can do in 16 days.After A has been working at it for 5 days and B for 7 days C finishes in 13 days. In how manydays C alone will do the work?

371. An amount becomes 4 times in 7 years when invested under Simple Interest at a certain rate. Inhow many years will the amount become 16 times of the original amount at the same rate?

372. Tk.2189 are divided into three parts such that their amounts after 1, 2 and 3 years respectivelymay be equal, the rate of simple interest being 4% p.a.in all cases. The smallest part is..

373. A man borrows TK. 2100 and undertakes to pay back with compound interest @ 10% p.a. in 2 equalyearly installments at the end of first and second year. What is the amount of each installment?



374. A retailer buys goods at 10% discount on its marked price and sells them at 20% higher thanthe marked price. What is his profit per cent?

375. A dishonest merchant professes to sell his goods at cost price, but uses a weight of 900 gramsfor one kg. weight. What is his profit per cent?

376. A shopkeeper bought some apples at the rate of Tk. 16 per dozen. Due to harsh climate 20% ofthe apples bought were rotten during the transportation. At what rate of per dozen should hesell the remaining apples so as to gain 30% on the total cost price?

377. A shopkeeper allows 25% discount on the marked price of his articles and hence gains 25% ofthe Cost Price. What is the marked price of the article on selling which he gains TK. 120?

378. A dishonest business man gain 10% profit on purchase of articles but make a 5% loss when sellingthose articles. What is his actual profit or loss?

379. If a merchant marks his goods up by 60% and then offer a discount on the market price. If thefinal selling price after the discount results in the merchant making no profit no loss, whatwas the percent discount offered by the merchant?

380. Son's age is now one-third of father's age. In twelve years from now son's age will be one halfof the father's age. what is the son's age in years now?

381. If 5 is added to the sum of digits of a number consisting of two digits, the sum will be threetimes of the digit of the tens place. Moreover, if the places of the digits are interchanged,the number thus found will be 9 less than the original number. Find the number?

382. A contract is to be completed in 46 days and 117 men were set to work, each working 8 hours aday. After working 33 days, 4/7 of the work is completed. How many additional men may becompleted so that the work may be completed in time, each man now working 9 hours a day?

383. The speed of a railway engine is 42 km per hour when no compartment is attached and thereduction in speed directly proportional to the squire root of the number of compartmentsattached. If the speed of the train carried by this engine is 24 km per hour when 9 compartmentsare attached, what is the maximum number of compartments that can be carried by the engine?

384. A shopkeeper lost 7.5% by selling an article. If he had bought it at 10% less and sold it forTK. 31 more, he would have gained 20%. Find the cost price of the article.

385. Kalim is asked to write a study guide for a text book. For his work, the publishing company isgiving him a choice of one- time payment of TK. 13,375 or TK. 2000 plus 10% royalties per copysold. If the proposed royalty rate result in a royalty of TK. 3.25 per study guide sold. Howmany study guides need to be sold for the total income received by kalim to be the same fromeither choice?

386. When a producer allows 36% commission on the retail price of his product, he earns a profit of8.8%. What would be his profit percents if the commission is reduced by 24% and commissionreduced to 24%.

387. A certain college has student s to teacher ratio of 11 to 1. The average annual salary forteachers is TK. 26000. If the college pays a total of TK. 33,80,000 in annual salaries to itsteacher, how many students does the college have?

388. An article is sold at 20% profit. If its cost price is increased by TK. 50 and at the same timeif its selling price is also increased by TK. 30, the percentage of profit decreases by 10/3%.Find the cost price.

389. The ratio between the rates of walking of A and B is 2:3. If the time taken by B to cover acertain distance is 36 minutes, the time taken by A to cover that much distance is?

390. Mr. jahid signed a contract for building a road of 1920 meters long within 120 days. He employed160 workers for this task. But after 24 days he found that only 1/8 of the task has beenfinished. If Mr. jahid wants to finish the road in time how many additional workers he has toemploy?

391. In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed forthe trip was reduced by 200 km/hr and the time of flight increased by 30 minutes, Find out theduration of the flight.

392. A man has 9 friends: 4 boys and 5 girls. In how many ways can he invite them, if there have tobe exactly 3 girls in the invitees?

393. A boy purchased some chocolates from a shop for TK. 120. In the next shop, he found that theprice of per piece of chocolate is take 3 less than that charged at the previous shop, and as



such he could have purchased 2 more chocolates. How many chocolates did he buy from the firstshop?

394. Mr. Nader drove from Mymensingh to Dhaka at 60 miles/hour. Returning on the same route, then-was a lot of traffic, and he was only able to drive at 40 miles/hour. If the return trip took1 hour longer, what is the distance between Dhaka and Mymensingh?

395. Two alloys A and B are composed of two basic elements. The ratios of the composition of twobasic elements in the two alloys are 5:3 and 1:2, respectively, a new alloy X is formed bymixing the two alloys A and B in the ratio 4:3. What is the ratio of the composition of thetwo basic elements in alloy X?

396. From a group of 7 men and 6 women. 5 person are to be selected to form a committee so that atleast 3 men are there on the committee. In how many ways can it be done?

397. A man spends TK. 750 on an average during first 8 months. During the next 4 months he spendsTK. 680 per month. He took loan of TK. 320 during the year and paid TK. 600 for LIC premium.Find his monthly average income?

398. The average temperature of the town in the first four days of a month was 58 degrees. Theaverage for the second, third, fourth and fifth days was 60 degrees. The temperature of thefirst and fifth days were in the ratio 7:8, then what is the temperature on the fifth day?

399. A bill for TK.6000 is drawn on July 14 at 5 months . It is discounted on 5th October at 10%.Findthe bankers discount true discount, bankers gain and the money that the holder of the billreceives.

400. A contract is to be completsd in 46 days sad 117 men were said to work 8 hours a day. After 33days, (4/7) of the work is completed. How many additional men may be employed so that the workmay be completed in time, each man now working 9 hours a day?

401. A garrison of 3300 men had provisions for 32 days, when given at the rate of 860 gns per head.At the end of 7 days, a reinforcement arrives and it was for that the provisions wi1l last 17days more, when given at the rate of 826 gms per head, What is the strength of the reinforcement?

402. What annual payment will discharge a debt of TK.7620 due in 3years at 16 2/3% per annuminterest?

403. A man standing at a point P is watching the top of a tower, which makes an angle of elevationof 30º with the man's eye. The man walks some distance towards the tower to watch its top andthe angle of the elevation becomes 60º. What is the distance between the base of the tower andthe point P?

404. . A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18%profit. He gains 14% on the whole. The quantity sold at 18% profit is:

405. The milk and water in two vessels A and B are in the ratio 4 : 3 and 2: 3 respectively. In whatratio, the liquids in both the vessels be mixed to obtain a new mixture in vessel C containinghalf milk and half water?

406. A fraction becomes 2/3 when 1 is added to both, its numerator and denominator. And, it becomes1/2 when 1 is subtracted from both the numerator and denominator. Find the fraction

407. If three numbers are added in pairs, the sums equal 10, 19 and 21. Find the numbers?408. Aman started a business investing TK. 70,000. Rakhi joined him after six months with an amount

of TK.. 1,05,000 and Sagar joined them with TK. 1.4 lakhs after another six months. The amountof profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively,3 years after Aman started the business?

409. A man bought a horse and a car riage for Rs 3000.he sold the horse at a gain of 20% and thecarriage at a loss of 10%,thereby gaining 2% on the whole.find the cost of the horse.

410. After getting 2 successive discounts, a shirt with a list price of Rs 150 is available at Rs105. If the second discount is 12.55,find the first discount.

411. When a producer allows 36% commission on retail price of his product, he earns a profit of8.8%. what would be his profit % if the commision

412. A completes 80% of a work in 20 days. Then B also joins and A and B together finish theremaining work in 3 days. How long does it need for B if he alone completes the work?

413. Machine P can print one lakh books in 8 houTK. Machine Q can print the same number of books in10 hours while machine R can print the same in 12 houTK. All the machines started printing at9 A.M. Machine P is stopped at 11 A.M. and the remaining two machines complete work.Approximately at what time will the printing of one lakh books be completed?



414. A can complete a work in 12 days with a working of 8 hours per day. B can complete the samework in 8 days when working 10 hours a day. If A and B work together, working 8 hours a day,the work can be completed in --- days.

415. There is a group of persons each of whom can complete a piece of work in 16 days, when theyare working individually. On the first day one person works, on the second day another personjoins him, on the third day one more person joins them and this process continues till the workis completed. How many days are needed to complete the work?

416. A train is traveling at 48 kmph . It crosses another train having half of its length , travelingin opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45seconds. What is the length of the platform?

417. A train overtakes two persons walking along a railway track. The first person walks at 4.5km/hr and the other walks at 5.4 km/hr. The train needs 8.4 and 8.5 seconds respectively toovertake them. What is the speed of the train if both the persons are walking in the samedirection as the train?

418. In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed forthe trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. What is theduration of the flight ?

419. An item was sold for TK.27.50 with a profit of 10%. If it was sold for TK.25.75, what wouldhave been the percentage of profit or loss?

420. Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes, and 10minutes respectively. When the tank is empty, all the three pipes are opened. A, B and Cdischarge chemical solutions P,Q and R respectively. What is the proportion of the solution Rin the liquid in the tank after 3 minutes?

421. A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneouslyfill the tank in the same time during which the tank is filled by the third pipe alone. Thesecond pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the thirdpipe. The time required by the first pipe is:

422. A leak in the bottom of a tank can empty the full tank in 6 houTK. An inlet pipe fills waterat the rate of 4 liters a minute. When the tank is full, the inlet is opened and due to theleak, the tank is empty in 24 houTK. How many liters does the cistern hold?

423. A booster pump can be used for filling as well as for emptying a tank. The capacity of the tankis 2400 m3. The emptying of the tank is 10 m3 per minute higher than its filling capacity andthe pump needs 8 minutes lesser to empty the tank than it needs to fill it. What is the fillingcapacity of the pump?

424. 3 balls are drawn randomly from a bag contains 3 black, 5 red and 4 blue balls. What is theprobability that the balls drawn contain balls of different colors?

425. In a set of three numbers, the average of first two numbers is 2.the average of the last twonumbers is 3.and the average of the first and last two numbers is 4.what is the average ofthree numbers?

426. In 2007,the arithmetic mean of the annual incomes of jack and jill was tk 3800.the arithmeticmean of the annual incomes of jill and jess was tk 4800.and the arithmetic mean of the annualincomes of jess and jack was tk 5800,what is the arithmetic mean of the incomes of three?

427. 40% of the employees in a factory are workeTK. All the remaining employees are executives. Theannual income of each worker is tk 390.The annual income of each executive is tk 420.what isthe average annual income of all the employees in the factory together?

428. Kelvin takes 3 minutes to inspect a car, and john takes 4 minutes to inspect a car. if theyboth start inspecting different cars at 8.30 AM. what would be the ratio of the number of carsinspected by Kelvin and john by 8.54 AM of the same day?

429. Bank X pays a simple interest of tk 80 on a principal of tk 1000 annually. bank Y pays a simpleinterest rates of bank X to bank Y?

430. Joseph bought two varieties of rice costing 5 cents per ounce and 6 cents per ounce each andmixed them in same ratio. then he sold the mixture at 7 cents per ounce, making a profit of 20percent. what was the ratio of the mixtures?

431. A cask initially contains pure alcohol up to the brim. The cask can be emptied by removingexactly 5 litres at a time. Each time this is done, the cask must be filled back to the brim



with water. The capacity of the cask is 15 litres. when the cask is emptied and filled backto the brim two times, what is the ratio of alcohol to water in the cask?

432. In January, the value of a stock increased by 25%, and in February it decreased by 20%,in Marchit is increased by 50%,and in April it decreased by 40%,If Jack invested tk 80 in the stock onJanuary 1 and sold it at the end of April, what was te percentage change in the price of thestock?

433. A can do a work in 20 days, B in 20 days & C in 60 days. From the 1st day, every 3rd day B &every 4th day C helps A. In how many days they will be done the work?

434. A is 30% more efficient than B. How much time will they, working together, take to complete ajob which A alone could have done in 23 days?

435. If 20 men or 24 women or 40 boys can do a job in 12 days working for 8 hours a day, how manymen working with 6 women and 2 boys take to do a job four times as big working for 5 hours aday for 12 days?

436. A and B enter into partnership. A supplies whole of the capital amounting to Tk. 45000 withthe condition that the profits to be equally divided and that B pays A interest on half of thecapital at 10% per annum, but receives Tk. 120 per month for carrying on the concern. Findtheir total yearly profit when B's income is one half of A's income.

437. A dishonest merchant makes 10% profit at the time of buying and a 5% loss at time of sellingthe goods he trades. By doing so if the said merchant made a profit of tk 900 on a particularitem, what was the real cost of the item sold?

438. When a producer allows 36% commission on the retail price of this product, he earns a profitof 8.8% what would be his profit percent if the commission is reduced –

439. All the page numbers from a book are added, beginning at page 1. However, one page number wasmistakenly added twice. The sum obtained was 1000. Which page number was added twice?

440. There are 87 balls in a jar. Each ball is painted with at least one of two colors, red orgreen. It is observed that 2/7 of the balls that have red color also have green color, while3/7 of the balls that have green color also have red color. What fraction of the balls in thejar have both red and green colors?

441. A supplier has three varieties of rice costing Tk. 60, Tk. 75, and Tk. 100 per kg respectively.At what ratio should he mix up these three varieties of rice so that by selling the mixture atTk. 96 per kg he will make 20% profit on cost?

442. Two alloys A and B are composed of two basic elements. The ratios of the compositions of thetwo basic elements in the two alloys are 5: 3 and 1 : 2, respectively. A new alloy X is formedby mixing the two alloys A and B in the ratio 4 : 3. What is the ratio of the composition ofthe two basic elements in alloy X?

443. Each of 435 bags contains at least one of the three following items: raisins, almonds andpeanuts. The number of bags that contain only raisins is 10 times the number of bags thatcontain only peanuts. The number of Bags that contain only almonds is 20 times the number ofbags that contain only raisins and peanuts. The number of bags that contains only peanuts isone-fifth the number of bags that contain only almonds. 210 bags contain almonds. How many bagscontain only one kind of them?

444. A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. WhenB has missed 27 times, A has killed:


446. A room is half as long as it is broad. The cost of carpeting the room at Tk. 5 per sq. m isTk. 270 and the cost of papering the four walls at Tk. 10 per sq. m is Tk. 1720. If a door and2 windows occupy 8 sq. m, find the dimensions of the room.

447. The area of a square is 24.5 sq meters more than the area of a rectangular. If, in the bothcases, the length of the diagonal be 13 meter, find out the length and breadth of the rectangle

448. A retailer buys 40 pens at the market price of 36 pens from a wholesaler. If he sells thesepens giving a discount of 1%, what is the profit percent?

449. Shaown invested one half of his savings in a bond that paid simple interest for to years andreceived 550 as interest. He invested the remaining in a bond that paid compound interest,interest being compounded annually. For the same two years at the same rate of interest received



Tk. 605 as interest. What was the value of his total saving before investing in these twobonds?

450. A father said to his son, "I was as old as you are at the present at the time of your birth".If the father's age is 38 years now, the son's age five years back was:

451. Ram and Sham are running a race, Ram runs 25% faster than Sham and is able to allow Sham a leadof 7 meters to end a race in dead heat. Find the distance of the race.

452. A number when divided successively by 4 and 5 leaves remainders 1 and 4 respectively. When itis successively divided by 5 and 4, then the respective remainders will be?

453. The solid brick shown is made of small square bricks of side 1. When the large brick isdisassembled into its component small bricks, the total surface area of all the small bricksis how much greater than the surface area of the large brick?

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