3.ii bca iii it cs numerical aptitude

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Mannar Thirumalai Naicker College(SF)

Madurai – 4.

CLASS : II BCA, III CS, III IT MARK : 100

NUMERICAL APTITUDE

1. A Number when divided by 296 leaves 75 as remainderwhen the same number is divided by 37, the number willbe

a). 1 b). 2 c). 8 d). 11ANS : a) 1

2. The difference of two numbers is 1365. On dividing thelarger number by the smaller, we get 6 as quotient and15 as remainder. What is the Smaller number ?a). 240 b). 270 c). 295 d). 360

ANS : b). 2703. If n is a natural number, then (6 n2 + 6 n) always divisible bya). 6 only b). 6 and 12 c). 12 only d). 18 onlyANS : b). 6 and 12

4. The Smallest 6 digit number exactly divisible by 111 is a). 111111b). 110011 c). 100011 d). 110101

ANS : c). 1000115. Which one of the following is a Prime Number

a). 119 b). 187 c). 247 d). NoneANS : d). None

6. 106 * 106 – 94* 94 = ?a). 2400 b). 2000 c). 1904 d). 1906ANS : a). 2400

7. 3 2 19 __ + 7 __ - 9 __ = ?

4 17 15

719 817 719 817a). 7 ______ b). 9 ____ c). 9 ____ d). 7 ____

1020 1020 1020 1020

ANS : 7 817/1020

8. 128352Reduce ________ to its lowest terms :

238368a). ¾ b). 5/13 c). 7/13 d). 9/13ANS : c). 7/13

9. Find the lowest common Multiple of 24, 36 and 72a). 120 b). 240c). 360 d). 480ANS : c). 360

10. The HCF of 9/10, 12/25, 18/35 and 21/40 is



a). 3/5 b). 252/5 c). 3/2800 d). 63/700ANS : c). 3/2800

11. HCF of 3240, 3600 and a third number is 36 andtheir LCM is 2 4 * 3 5 * 5 2 * 7 2 . The third number is

a). 2 2 * 3 5 * 7 2 b). 2 2 * 5 3 * 7 2 c). 2 5 * 5 2 * 7 2

d). 2 2 * 3 5 * 7 2

ANS : a). 2 2 * 3 5 * 7 2

12. LCM of two Prime numbers x and y (x > y) is 161. Thevalue of 3y –x isa). – 2 b). -1 c). 1 d). 2ANS : A

13. Find the greatest number that will divide 43,91 and183 so as to leave the same remainder in each casea). 4 b). 7 c). 9 d). 13ANS : A

14. The least number which when divided by 48, 60, 72,108 and 140 leaves 38,50,62,98 and 130 asremainders respectively, is :a). 11115 b). 15110 c). 15120 d). 15210ANS : B

15. 6202 . 5 + 620. 25 + 62.025 +6.2025 + 0.62025 = ?a). 6891.59777 b). 6891.59775 c). 6981.59773d). 6189.59ANS : B

16. 7 5If 47.2506 = 4 A +___ + 2C___ + 6 E then the value

B DOf 5A + 3 B + 6 C + D + 3 E isa). 53.6003 b). 53.603 c). 153.6003 d). 213.0003ANS : C

17. Which of the following fraction is greater than ¾ andless than 5/6 ?a). ½ b). 2/3 c). 4/5 d). 9/10ANS : C

18. The least among the following is ~ a). 0.2 b). 1 ÷ 0.2 c). 0. 2 d). (0.2) 2

ANS : D

19. 3 . 6 * 0 . 48 * 2. 50The value of _______________________ is0.12 * 0.09 * 0.5

a). 80 b). 800c). 8000 d). 80000ANS : B

~ ~ ~_ 20. 3 . 36 – 2 . 05 + 1 . 33 =

_ _ a). 2.60 b). 2.64 c). 2.61 d). 2.64ANS : D

21. 21. If x = 1 + √ 2 and y = 1 - √ 2 then the value of x 2+

y 2isa). 6 b). 4 c). 1 d). 0ANS : A



22. 22. √ 10 + √ 25 +√108 + √ 154 + √ 225 Isa). 4 b). 6 c). 8 d). 10ANS : A

23. If 52 / x = √ 169 / 289 then the value of x isa). 52 b). 58 c). 62 d). 68ANS : D

24. 24. 3 √ √ 0. 000064 = ?a). 0.02 b). 0.2 c). 2 d). NoneANS : B

25. 25. 3√ √ 0. 000216 = isa).0.6 b). 0.06 c). 0.006 d). NoneANS : B

26. 26. If x = 7 – 4 √ 3 then x + 1 / x is

a). 3 √ 3 b). 8 √ 3 c). 14 d). 14 + 8 √ 3ANS : C

27. The average of 20 numbers is zero of them at themost, how many may be greater than zero ?a). 0 b). 1 c). 10 d). 19ANS : 19

28. The average age of the boys in a class is 16 years andthat of the girls is 15 yrs. The average age for the whole class isa). 15 years b). 15.5 years c). 16 yearsd). Cannot be determinedANS : D

29. The average of ten numbers is 7 . If each number is

multiplied by 12, then the average of the new set of numbers isa). 7 b). 19 c). 82 d). 84ANS : D

30. A Cricketer whose bowling average is 12.4 runs perwicket takes 5 wickets for 26 runs and thereby decrease his

average by 0.4. The number of wickets taken by him till the lestmatch was :a). 64 b). 72 c). 80 d). 85ANS : D

31. If one – third of one – fourth of a number is 15 . Thenthree – tenth of that number is

a) 35 b). 36 c). 45 d). 54ANS : D32. Find the number which when Multiplied by 15 is

Increased by 196a). 14 b). 20 c). 26 d). 28ANS : A

33. The Product of two natural numbers is 17 . Then thesum of the reciprocals of their squares isa). 1 / 289 b). 289 / 290 c). 290 / 289 d).289ANS : C

34. 37. The sum of two numbers is 22 and the sum of their

squares is 404 . Then the Product of the numbers isa). 40 b). 44 c). 80 d). 88ANS: A



35. 38. The sum of the digits of a two digit number is 15 andthe difference between the digits is 3 . What is the two digitnumber?a). 69 b). 78 c). 96 d). Cannot be found e). NoneANS : D

36. The ratio between the present ages of P and Q is 6 : 7.If Q is 4 years old than P, what will be the ratio of the

ages of P and Q after 4 years ?a). 3 : 4 b). 3 : 5 c). 4 : 3 d). Data Inadequate e). NoneANS : E

37. The total age of A and B is 12 years more than thetotal age of B and C. C is how many years youngerthan A ?

a). 12 b). 24 c). C is Elder than Ad). Data Inadequate e). NoneANS : A

38. Six years ago, the ratio of the ages of Kunal and Sagarwas 6 : 5 . Four years hence, the ratio of their ageswill be 11 : 10 What is Sagar’s age at present ?a). 16 years b). 18 years c). 20 yearsd). Cannot be determined e). NoneANS : A

39. In 10 years, A will be twice as old as B was 10 yearsage. If A is now 9 years older than B, the present ageof B isa). 19 years b). 29 years c). 39 years d). 49 yearsANS : C

40. Rohit was 4 times as old as his Son 8 years ago. After

8 years, Rohit will be twice as old as his Son. What aretheir present ages?a). 38 years b). 40 years c). 48 years d). 30 yearsANS : B

41. Sixty – five percent of a number is 21 less than four – fifth of that number . What is the number ?a). 100 b). 120c). 140 d). 160ANS : C

42. ? % of 25 = 2.125a) 8 . 5 b). 7 . 5 c). 6 . 5 d). 5 . 5ANS : A

43. If A ‘s Salary 20 % . Less than B’s Salary, by howmuch percent is B’s Salary more than A’s ?a). 15 % b). 30 % c). 50 % d). 25 %ANS : A

44. The number which exceeds 16 % of it by 42 isa). 50 b). 52 c). 58 d). 60ANS : A

45. If Rs. 2800 is 2 /7 percent of the value of a house, theworth of the house isa). 800000 b). 980000 c). 10 00 000 d). 12 00 000ANS : B

46. A Shopkeeper Purchased 70 kg of Potatoes for Rs. 420and sold the whole lot at the rate of Rs. 6.50 / kg.What will be his gain percent ?



a). 4 1/6 % b). 6 ¼ % c). 8 1/3 % d). 20 %ANS : C

47. When a Plot is Sold for Rs. 18700 the Owner loses15 %. At what price must the plot be sold in order toGain 15 % ?a). Rs. 21000 b). 22500 c). 25300 d). 25800ANS : C

48. The cash difference between the Selling Prices of anArticle at a Profit of 4% and 6% is Rs. 3 .The ratio of the twoSelling Prices isa). 51: 52 b). 52 : 53 c). 51 : 53 d). 52 : 55ANS : B

49. A Bag Marked at Rs. 80 is sold for Rs. 68. The rate of discount is

1117____

a). 12 % b). 15 % c). 17 % d). 20 %

ANS : B50. The Price of a VCR is marked at Rs. 12000. If

Successive discounts of 15 %, 10 % and 5 % beallowed then at what prices does a Customer buy it ?a). 8400 b). 8721 c). 8856 d). NoneANS : B

51. Find CP when SP = Rs. 40 . 60, Gain % = 16 %a). RS. 58.75 b). 85.75 c). 58.57 d). 85.57ANS : A

52. A Vendor bought bananas at 6 for Rs. 10 and Sold

them at 4 for Rs. 6. Find his gain or loss percent.a). 20 % b). 25 % c). 10 % d). 15 %ANS : ANS : C

53. If loss is 1/3 of S.P. the loss percentage is2 1

a). 16 ___ % b). 20 % c). 25 % d). 33 ___ %3 3

54. If 2 A = 3 B = 4 C then A : B : C isa). 2 : 3 : 4 b). 4 : 3 : 2 c). 6 : 4 : 3 d). 20 : 15 : 2ANS : C

55. If 0.75 : x :: 5 : 8 then x = ?a). 1.12 b). 1.20 c). 1.25 d). 1.30ANS : B

56. If 76 is divided into four parts proportional to7 : 5 : 3 : 4 , then the smallest part is

a). 12 b). 15 c). 16 d). 19ANS : A

57. The ratio of three numbers is 3 : 4 : 5 and the sum of their squares is 1250. The sum of the numbers isa). 30 b). 50 c). 60 d). 90ANS :

58. If 10 % of x = 20 % of y then x : y =a). 1 : 2 b). 2 : 1 c). 5 : 1 d). 10 : 1ANS : B



59. The ratio between two numbers is 3 : 4 and their LCMis 180 . The first number isa). 60 b). 45 c). 20 d). 15ANS : B

60. A fraction which bears the same ratio to 1 / 27 that3/11 does to 5/9 =a) 1/55 b). 1/11 c). 3/11 d). 55

ANS : A61. A and B together can complete a price of work in 4

days. If A alone can complete the same work thatwork.

a). 5 days b). 6 days c). 7 days d). 8 daysANS : B

62. A is twice as good a workman as B and together theyfinish a piece of work in 18 days. In how many days will A alonefinish the work ?a). 25 days b). 27 days c). 28 days d). 20 daysANS : B

63. A can do a work in 15 days and B in 20 days . If theywork on it together for 4 days, then the fraction of the work that isleft isa). ¼ b). 1/10 c). 7/15 d). 8/15ANS : D

64. A and B can together finish a work in 30 days. Theyworked together for 20 days and then B left. After another 20days. A finished the remaining work. In how many days A alonecan finish the job ?a). 40 b). 50 c). 54 d). 60

ANS : D65. A Man a Woman and Q Boy can complete a Job in 3,4and 12 days respectively. How many boys must assist 1 Man and 1Woman to complete the job in ¼ of a day?a). 1 b). 4 c). 19 d). 41ANS: D

66. If 12 Men and 16 Boys can do a piece of work in 5 days,13 Men and 24 Boys can do it in 4 days, then the ratio of the daily work done by a Man to that of a boy is

a). 2 : 1 b). 3 : 1 c). 3 : 2 d). 5 : 4ANS : A

67. A, B, and C can complete a piece of work in 24, 6 and12 days respectively. Working together they willcomplete the same work in

3a). 1/24 day b). 7 /24 day c). 3 __ days d). 4 days

7ANS : C

68. Sakshi can do a piece of work in 20 days. Tanya is25% more efficient than Sakshi. The number of daystaken by Tanya to do the same piece of work is

a). 15 b). 16 c). 18 d). 25

ANS : B69. X can do a piece of work in 40 days. He works as it for



8 days and then Y finished it in 16 days. How long will theytogether take the complete the work ?

1a). 13 ___ days b). 15 days c). 20 days d). 56 days

3ANS : A

70. A alone can complete a Work in 16 days and B alone

in 12 days. Starting with A , they work on alternatedays. The total work will be completed, in

5 3a). 12 days b). 13 days c). 13 ___ days d). 13 ___ days

7 4ANS : D

71. A Man traveled from the Village to the Post – Office atthe rate of 25 kmph and walked back at the rate of 4kmph. If the whole journey took 5 hrs 48 min, findthe distance of the post – office from the village.

a). 20 km b). 40 km c). 60 km d). 80 kmANS : A

72. Which of the following trains is the fastest ?a). 25 m/sec. b). 1500 m/min c). 90 km/hr d). NoneANS : D

73. A Motor Car starts with the speed of 70 km/hr withits speed increasing every two hrs by 10 kmph. In how many hrswill it cover 345 kms ?

1 1a). 2 ___hrs b). 4 hrs. 5 min c). 4 __ hrs d). None

4 2

ANS: C74. A Train covers a distance of 10 km in 12 minutes. If its speed is decreased by 5 km\hr the time taken by it to cover thesame distance will bea). 10 min b). 11 min 20 sec c). 13 mind). 13min /20 sec

75. A Man Travels 600 km by train at 80 km\hr, 800 km byship at 40 km/hr, 500 km by Aero plane at 400 km / hr and 100km by Car at 50 km \ hr . What is the average speed for the enterdistance ?

5

a). 60 km/hr b). 60 __ km/hr c). 62 km/hr5 123d). 65 ___ km/ hr

123ANS : D

76. If a Person walks at 14 km/hr instead of 10 km /hr hewould have walked 20 km more. The actual distancetraveled by him isa). 50 km b). 56 km c). 70 km d). 80 kmANS : A

77. A Car traveling with 5 / 7of its actual speed covers 42

km in 1 hr 40 min 48 sec. Find the actual speed6

a). 17 ___ km/hr b). 25 km /hr c). 30 km /hr



7d) 35 km/hrANS : D

78. Three Persons are walking from a place A to anotherplace B . Their speeds are in the ratio of 4 : 3 : 5. The time ratio toreach B by these Persons will bea). 4 : 3 : 5 b). 5 : 3 : 4 c). 15 : 9 : 20 d). 15 : 20 : 12

ANS : D79. A Man travels from A to B a distance of 250 miles in

15 ____ hrs. He returns to A in 4 hrs 30 minutes. His

2 average speed is ,a). 44 mph b). 46mph c). 48 mph d). 50mphANS : D

80. A thief steals a Car at 2.30 Pm and drives it at 60kmph. The theft is discovered at 3 pm. And the

owner sets off in another car at 75 kmph. When willhe over take the thief ?

a). 4.30pm b). 4.45 pm c). 5pm d). 5.15pmANS : C

181. A Sum at SI. At 13 ___ % per annum amounts to Rs.

22502.50 after 4 years. Find the sum isa). Rs. 1600 b). 1625 c). 1650 d). 1675ANS : B

82. At what rate percent per annum will a sum of moneydouble in 16 years ?

1 1a). 6 % b). 6 ___ % c). 6 ___ % d). 7%2 4

ANS : C83. How long will it take a sum of money invested at 5%

pa. S.I. to increase its value by 40 %.a) 5 years b). 6 years c). 7 years d). 8 yearsANS : D

84. A lends Rs. 2500 to B and a certain sum to G at thesame time at 7% p.a. S.I. If after 4 years A altogetherreceives Rs. 1120 as interest from B and C then sum

lent to C is ,a). Rs. 700 b). Rs. 1500 c). Rs. 4000 d). Rs. 6500ANS : B

85. A Sum of Rs. 10 is lent to be returned in 11 monthlyinstallments of Rs. 1 each interest being Simple. The rate of interest is

1 9a). 9 ___ % b). 10 % c). 11 % d). 21 ___ %

11 11ANS : D

86. In what time will Rs. 1000 become Rs. 1331 at 10 %

per annum compounded annually ?a). 5 yrs b). 3 yrs c). 7 yrs d). 9 yrsANS : B



87. The difference between the Compound interest andthe S.I. accrued on an amount of Rs. 18000 in 2 yrswas Rs. 405. What was the rate of interest ?a). 10 % b). 8 % c). 15 % d). 6 %ANS : C

88. The C.I on Rs. 30000 at 7 % per annum is Rs. 4347.The period is

1a). 2 b). 2 ___ c). 3 d). 4

2ANS : A

89. The effective annual rate of interest corresponding toa nominal rate of 6 % per annum payable half yearlyisa). 6.06 % b). 6.07 % c). 6.08 % d). 6.09 %ANS : D

90. When Interest is Compounded Quarterly4n 4n

a). A = P 1 + R\4 b). A = P 1 + R _____ _____

1. 100

c). A = P 1 + R n d). A = P 1 + R n /4

___ _____ 1. 100

ANS : A91. If the area of a square increases by 69 %, then the

side of the square increases bya). 13 % b). 30 % c). 39 % d). 69 %ANS : B

92. A Square and a Rectangle have equal areas. If theirperimeters are P1 and P2 . Thena). P 1 < P2 b). P 1 = P2 c). P 1 > P2 d). NoneANS : A

93. The ratio of area of a square to that of the squaredrawn on its diagonal isa). 1 : 2 b). 2 : 3 c). 3 : 4 d). 4 : 5ANS : A

94. One side of a Parallelogram is 18 cm and its distancefrom the opposite side is 8 cm. The area of theParallelogram isa). 48 cm 2 b). 72 cm 2 c). 100 cm 2 d). 144cm 2

ANS : D95. The area of a Circle of radius 5 is numerically what

percent of its circumference ?a) 200 b). 225c). 240 d). 250ANS : D

96. The volume of a sphere of radius 10.5 cm isa). 4000cm3 b). 4851cm3 c). 4800cm3 d). 4500cm3

ANS : B97. The slant height of a cone is , if r = 21 cm, h = 28 cm

a). 0.35 cm b). 7 cm c). 35 cm d). 3.5 cm



ANS : C98. The Surface area of a 10cm *4cm*3cm brick is

a). 84cm2 b). 124cm2 c). 164cm2 d). 180cm2

ANS : C99. A Cistern of capacity 8000 liters measures externally

3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick.The thickness of the bottom is

a). 90cm b). 1dm c). 1 m d). 1.1 mANS : A

100. The edges of a cuboids are in the ratio 1 : 2 : 3 and itssurface area is 88cm2 . The volume of the cuboids isa). 24 cm3 b). 48 cm3 c). 64 cm 3 d). 120 cm3

ANS : B

3.ii bca iii it cs numerical aptitude

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