three statement ds

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Three Statements Data Sufficiency

Exercise-1Directions: The following questions are

accopanied by three statements (A) or (I), (B) or (II),

and (C) or (III). You have to determine which

statement(s) is/are sufficient/necessary to answer

the questions.

Number System

1. If a and b are integers, is a + b an odd number?A. 7 < a < 10

B. 8 < b < 11C. a b1) A and B together are sufficient2) B and C together are sufficient3) C and A together are sufficient4) A, B and C together are necessary5) A, B and C even together are not sufficient

2. Find the single value of an integer ‘a’.

A. 01.26a 2 B. a < 4

C. 61.9a 2

1) All even together are not sufficient2) All together are necessary3) A and C are sufficient4) A and B are sufficient5) Any two of the statements A, B and C are

sufficient3. Find out the divisor.

A. Two numbers when divided by the divisor gives remainders 23 and 31.

B. The two numbers, ie the dividends, are 97 and 512.

C. The sum of the numbers when divided by thedivisor gives 17 as the remainder.

1) A and B are sufficient2) A and C are sufficient3) A and either B or C are sufficient4) Any two of A, B and C are sufficient5) All together are necessary

4. To find the no. which of the following statement(s)is/are sufficient/necessary?

A. The ratio between a two-digit no. and the sumof the digits of that no. is 5 : 2.

B. The digit in ten’s place is 4 less than the digitin unit’s place.

C. The sum of the squares of the two digits is 26.1) Only A and B together are sufficient2) Only B and C together are sufficient3) Any two of the three together are sufficient4) All A, B and C together are necessary

5) Even A, B and C all together are not sufficient5. Find out the divisor.

A. Two numbers when divided by the divisor give remainder 13 and 20 respectively.

B. The two numbers, ie dividends, are 148 and 614 respectively.

C. The sum of the numbers when divided by thedivisor gives 6 as remainder.

1) Only A and B 2) Only A and C3) Only B and C 4) A and either B or C5) Any two of them

6. P, Q, R and S are four consecutive even integers.What is the value of the largest integer?

A. The average of the four numbers is the first prime number greater than 10.

B. The ratio between the largest and the smallestof the numbers is 7 : 4.

C. The squares of the sum of the smallest and the largest numbers is equal to the squares of the sum of the remaining two numbers.

1) Any of them 2) Any two of them3) C and either A or B 4) Either A or B5) Allstatements are required

7. Find a two-digit number.A. Half of the two-digit number is 20 more than

the sum of the digits of the two-digit number.

B. The digit at unit’s place is two more than thedigit at ten’s place.

C. The digit at unit’s place is %3

133 more than

the digit at ten’s place.1) Any of them


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2) Any two of them3) Only B and C together 4) Only A and B together

5) Either A alone or B and C together 8. What is the two-digit number?I. Sum of the digits is 17.II. Difference between the number and the num-

ber obtained by interchanging the digits is 9.III. Digit in the unit’s place is bigger than the

digit in the ten’s place by 1.1) Only I and II 2) Only I and III3) Only II and III 4) All I, II and III5) None of the above

[IRMA-2002]

9. What is the sum of two numbers?A. The bigger of these two numbers is 6 more

than the smaller number.B. 40% of the smaller number is equal to 30% of

the bigger number.C. The ratio between half of the bigger number

and one-third of the smaller number is 2 : 1.1) Only B and C together are required 2) Only A and B together are required 3) Any two of A, B and C together are required 4) All A, B and C together are required 5) None of these

[SBI PO Exam-2000]

10. What is the difference between two numbers Xand Y?

I. X is 20 per cent more than another number Z.II. Y is 20 per cent less than Z.III. The sum of Y and Z is 72.1) Only I and II are required 1) Only I and III are required 3) All I, II and III together are required 4) Any two of I, II and III are required 5) Even with all I, II and III together the answer

cannot be arrived at[BSRB Mumbai PO-1998]

11. What is this two-digit number?I. The number obtained by interchanging the dig-

its is more than the original number by 9.II. Sum of the digits is 7.III. Difference between the digits is 1.1) I and III only 2) I and II only3) II and III only 4) All I, II and III5) Question cannot be answered even with the

information in all the three statements.[Corporation Bank PO-2002]

12. What is a two-digit number?I. The difference between the two-digit number

and the number formed by interchanging the

digits is 27.II. The difference between the two digits is 3.III. The digit at unit’s place is less than that at

ten’s place by 3.1) Only I and II2) Only I and either II or III3) Only I and III4) All I, II and III5) Even with all the three statements the answer

cannot be given.[RBI Grade-‘B’ Officers’ Exam-2002]

Fractions

13. Rs 241 is divided among three persons A, B and C. Find A’s share. Which of the following infor-mation is/are sufficient/necessary?A. B gets Rs 8 more than CB. A gets Rs 14 more than CC. B gets Rs 6 less than A.1) A and C together are sufficient2) B and C together are sufficient3) A and either B or C are sufficient4) All together are necessary5) Any one of the options (2) or (3) is sufficient

14. To find out the share of Q out of Rs 1820, whichof the following statements is/are sufficient/nec-

essary?A. The share of P is 1.8 times the combined share

of Q and R.

B. The share of Q is11

3 of the combined share of

P and R.

C. The share of R is6

1 of the combined share of

P and Q.1) Statements A and B together are sufficient2) Statement A and C together are sufficient3) Statements B and C together are sufficient

4) Either statement B alone or statements A and C together are sufficient5) None of these

15. Find the share of Gautam out of Rs 24,000.

A. The share of Amit is12

5 of the combined


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share of Gautam and Ajay.

B. The share of Gautam is3

1 of the combined

share of Amit and Ajay.

C. The share of Ajay is4

1 of the combined share

of Gautam and Amit.1) A and B together 2) A and C together 3) Only B is sufficient4) All statements are required 5) Even all statements together are not sufficient

16. A sum of money Rs 2550 is to be distributed among Krishna, Vijay and Ramaswami. What will

be the share of Vijay?A. Krishna’s share is 1.5 times Vijay’s share,.B. Ramaswami’s share is half the share of Krishna

and Vijay together.C. The share of Krishna is Rs 340 more than Vijay.1) Either A and B together or A and C together are

sufficient2) Only A and B together are sufficient3) Only A and C together are sufficient4) All statements are required 5) Even all together are not sufficient

17. How much of the cake did the fourth man eat?

A. The first three men ate5

2,

5

1 and

5

1 of the

cake.B. All the four men ate all the cake.

C. The third man ate5

1 of the cake.

1) A only 2) B only3) C only 4) A and B only5) B or C only

Average

18. How many runs did Ramesh score in his 32nd match?A. For the first 30 matches his average was 36.B. His average run score is 32.C. The average till 31st match is greater than his

average for 32nd match he has played.1) A and B together are sufficient2) A and C together are sufficient3) B and C together are sufficient

4) All A, B and C together are necessary5) All A, B and C even together are not sufficient

19. How much marks did Mohan obtain in Hindi? To

get the answer which of the following informa-tion is/are necessary/sufficient?A. The average marks obtained by Mohan in

Hindi, Math and Biology is 72.B. The total marks obtained by him in Hindi and

Math is 129.C. The total marks obtained by him in History

and Biology is 143.1) Only A and B together are sufficient2) Only A and C together are sufficient3) Only A and B or C are sufficient4) All A, B and C together are necessary5) All A, B and C even together are not sufficient

20. Find the second number out of the three numbers.

A. The first no. is4

1 of the sum of the other two

numbers.B. The average of the three numbers is 60.C. The first and the third no. are in the ratio of

9 : 11.1) A and B together are sufficient2) B and C together are sufficient3) Any two statements are sufficient4) All together are necessary

5) All even together are not sufficient21. What is the no. of clerks in a certain office? The

office has only two sections of its employees— clerks’ section and officers’ section. The aver-age monthly salary per head of an employee isRs 120.A. The average monthly salary per head of the

clerks is Rs 60.B. The no. of officers is one-third the no. of clerks

in the office.C. The average monthly salary per head of the

officers is Rs 300.1) A and B are sufficient

2) C and A are sufficient3) Any two statements are sufficient4) All together are necessary5) All even together are not sufficient

22. The following question is accompanied by threestatements A, B and C. You have to determine


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which statement(s) is/are necessary/sufficient toanswer the question. Find the total monthly ex-

penditure of a person.

A. His average monthly income is Rs 2400.B. The ratio of total amount for his expenditureand income during the year is 89 : 96.

C. His average monthly saving is Rs 175.1) A and B are sufficient2) A and C are sufficient3) B and C are sufficient4) Any two statements are sufficient5) All statements together are necessary

23. Find the four consecutive prime numbers under 100.A. The average of middle numbers is 64.B. The average of 1st and last number is 65.

C. The difference between 1st and last no. is 12.1) Either A or B or C2) Either A or B3) Either A or C4) A and B together are sufficient5) All together are necessary

24. What is the middle number in a set of three numbers?A. The average of the numbers is 37.B. All the three numbers are odd prime.C. The sum of 1st and 3rd numbers is double the

middle number.1) Only B 2) A and B together

3) B and C together 4) A and C together 5) All statements are required to answer the ques-

tion25. How many runs did Powel score in 32nd match?

A. For the first 30 matches his average was 36.B. His average run score is 32.C. The average till 31st match is greater than his

average for the 32nd match he has played.1) A and B together 2) A and C together 3) B and C together 4) All A, B and C together are necessary5) All A, B and C even together are not sufficient

26. Find out the total monthly expenditure of a per-son.A. His average monthly income is Rs 5000.B. The ratio of total amounts of his expenditure

and income during the year is 9:10C. His average monthly savings is Rs 500.

1) Only A and B together 2) Only A and C together 3) Only B and C together

4) Any two of them5) All statements are required 27. How many children are there in a group?

A. The total age of the group of children is 630years whereas the avrerage age is 15 years.

B. The total age of the group of children and 5teachers is 855 years.

C. The total age of the teachers is 225 years.1) Only A2) Either B alone or A and C together 3) Any two of them4) All statements are required 5) Question can’t be answered even after using

all the information28. Find the monthly expenditure of a person.

A. His monthly income is Rs 2400.B. The ratio of his expenditure to his income dur-

ing the year is 3 : 4.C. His average monthly saving is Rs 600.1) Only A and B together 2) Only A and C together 3) Only A and C together 4) Any two of them5) All statements together are required

29. What will be the average of three numbers?A. The largest no. is greater than the smallest by

20.B. The sum of the largest and smallest nos. is

equal to twice the middle one.C. The difference of the first two numbers is 10.1) Only A and C together 2) Only B and C together 3) Any two of them4) Question can’t be answered even after using

all the informations5) All statements are required

30. To find the temperature on Monday which of thefollowing information is sufficient?A. The average temperature for Monday, Tues-

day and Wednesday was 38° C.B. The average temperature for Tuesday, Wednes-

day and Thursday was 43° C.C. The temperature on Tuesday and Thursday

was 45° C each.1) Only A and B are sufficient


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2) Only B and C are sufficient3) A and either B or C are sufficient4) C and either A or B are sufficient

5) All the three together are sufficient31. Is P = 27?A. The mean of A, P & Q is 27.B. (–A) = (Q)C. A = 81) A only is sufficient2) B only is sufficient3) A and B only are sufficient4) B and C only are sufficient5) None of these

Problems Based on Ages

32. The ratio of the ages of Javed and Akhtar is 6 :

11. Find out the ratio of their ages 5 years ago.A. The difference of their ages is 25 years.B. The difference of their ages after 5 years will

be 25 years.C. The sum of their ages is 85 years.1) Only A and C together are sufficient2) Anyone of A, B and C is sufficient3) Only A and B together are sufficient4) Any two of A, B and C are sufficient5) All together are necessary

33. The following question is accompanied by threestatements. You have to determine which of thefollowing statements is/are sufficient/necessary

to answer the question. Find the average of present ages of P, Q and R.A. The average age of P, Q and R 15 years ago

was3

133 years.

B. The present ages of P, Q and R are in the ratioof 8 : 9 : 12.

C. The average age of P, Q and R 15 years hence

is3

163 years

1) A and B are sufficient

2) B and C are sufficient3) Either (1) or (2) is sufficient4) Either A or C is sufficient5) All together are necessary

34. What is the age of Sumeet? Which of the follow-ing information is necessary/sufficient to find out his age?

A. Sumeet’s age is2

1 the age of his father..

B. His father is 30 years older than his brother.C. 10 years ago the ratio of his father’s and his

brother’s age was 7 : 4.1) Only B and C are sufficient2) Only A and C are sufficient3) All A, B and C are necessary4) Only A and B are sufficient5) Any two of the three statements are sufficient

35. What are the present ages of A and B?A. Four years hence the ratio of ages will be 4 : 7.B. B is 6 years older than A.

C. The sum of the ages is 14 years.

1) Any two of them are sufficient

2) A and B together are sufficient3) B and C together are sufficient

4) A and C together are sufficient5) All statements are required to answer the ques-

tion

36. What is the ratio of the ages of Reena and Sonam?

A. 6 years ago their ages were in the ratio 3 : 4.

B. After 2 years the younger one’s age will be85% that of the older.

C. The sum of their ages is three less than twicethe age of the older.

1) Only A and C

2) Any two of them3) Only A and B

4) All together are required

5) Any one of them is required

37. What will be the sum of the ages of the father and the son after 3 years?

A. Father’s present age is two-and-a-half timesthe son’s present age.

B. After ten years the ratio of the father’s age tothe son’s age will become 2 : 1.

C. Five years ago the difference between thefather’s age and the son’s age was equal to 30years.

1) Only A and B together 2) Only B and C together 3) Only A and C together

4) Any two of them

5) All statements are required to answer the ques-tions


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38. What is Madhu’s present age?

A. Madhu’s age is5

1 of her father’s age.

B. Madhu’s father’s age will be thrice Vinay’sage after 5 years.

C. Vinay’s seventh birthday was celebrated threeyears before.

1) Only A and B together 2) Only B and C together 3) A and C together 4) All A, B and C are necessary5) Even all together are not sufficient

39. What is the ratio of the present ages of X and Y?A. The ratio between the present ages of X and Y

after 10 years is 11 : 15.

B. The present age of Y is3266 % more than that

of X.C. The product of the present ages of X and Y is

240 years.1) Any of them2) Only C and either A or B3) Any two of them4) Only A and B together 5) All statements are required

40. The ratio of the ages of Mohit and Tilak is 5 : 3.What will be the ratio of their ages after 4 years?

A. The sum of their ages is 32 years.B. The ratio of their ages after 2 years will be11 : 7.

C. The difference of their ages is 8 years.1) A and C together 2) B and C together 3) A and B together 4) Any two of them5) Any of them

41. Find the age of P.

A. Average age of M, P, R and S is2

119 years.

B. Average age of M, P and S is3

219 years.

C. Average age of R, P and M is 20 years.1) A and B together 2) A and C together 3) A, B and C together 4) Even A, B and C together are not sufficient

5) None of these42. What will be the sum of the preseng ages of P

and Q?

A. Ratio between the present ages of P and Q is4 : 5.B. Q’s present age is 25% more than that of P.C. Difference between the present ages of Q and

P is 10 years.1) Any two of them 2) C and either A or B3) Any of them 4) Only A and C together 5) None of these

43. What is the present age of Ajay?A. After two years the ratio of the ages of Ajay

and Amit will be 37 : 27.B. One-fourth of the sum of ages of Ajay and

Amit is equal to five more of their age differ-

ence.C. Ajay is 10 years older than Amit.1) Any of them2) Only A and B together 3) Only B and C together 4) Only C5) Any two of them

44. What are the present ages of Samar and Joseph?A. Sum of their present ages is 26 years.B. The sum of the ages of Samar six years hence

and Joseph 7 years ago is 25 years.C. Product of their present ages is 120 years.1) Only A and B together

2) Only B and C together 3) C and either A or B4) B and either A or C5) Any two of them

45. The ratio between the present ages of the sonand his father is 1 : 3. Find the present age of thefather.A. Difference between the present ages of the

mother and her son is 22 years.B. Difference between the present ages of the

father and his son is 26 years.C. The present age of mother is 4 years less than

thrice the present age of her son.1) Only A and C together 2) Either B alone or A and C together 3) Any two of them4) All statements are required 5) Question can’t be answered even after using

all the information


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46. Find the average of present ages of X, Y and Z.A. Ratio of their present ages is 7 : 9 : 10.B. The average age of X and Y 15 years ago was

17 years.C. The average age of Y and Z 3 years hencewould be 41 years.

1) Only A and B together 2) Only B and C together 3) Any two of them4) A and either B or C5) All statements are required

47. Find the ratio of the ages of a mother and a daugh-ter after four years.A. Sum of the present ages of the mother and the

daughter is 64 years.B. The ratio of the age of the daughter four years

hence and that of the mother 8 years before is2 : 3.

C. Twice the mother’s present age is 28 yearsmore than thrice the present age of the daugh-ter.

1) Any two of them 2) Only A and B together 3) A and either B or C 4) B and C together 5) Any of them

48. Ahson’s age is8

5 of Sumit’s age. Find the age of

Ahson.A. Ahson is 25 years older than Sumit.B. 6 years ago the ratio of the age of Sumit to that

of Ahson was 19 : 34.C. 5 years hence the ratio of Ahson’s age to

Sumit’s would be 3 : 2.1) Any of them 2) Any two of them3) Only either B or C 4) B and either A or C5) None of these

49. What is Sana’s age?A. Sana is 3 years older than Prabhakaran.B. 10 years ago Sana was 7 years younger than

Prabhakaran.C. Sum of their present ages is 47 years.1) Any two of them2) Any of them3) Only A and C together

4) C and either A or B5) Question can’t be answered even after using

all the informations50. What was the sum of the ages of the mother and

the son ten years earlier?A. Ratio of the mother’s present age to the son’s

age after 10 years is 5:3.

B. The difference between thrice the present ageof the mother and five times the present ageof the son is 50 years.

C. The ratio of the age of the mother after 10years to the age of the son after 16 years is5:3.

1) Any two of them2) Any one of them3) B and either A or C4) All statements are required 5) Question can’t be answered even after using

all the informations51. The total of the present ages of P, Q, R and S is 96

years. What is Q’s present age?A. The average age of P, Q and S is 20 years.B. The average age of Q and S is 20 years.C. The average age of R and S is 25 years.

1) Only A and B together 2) Only B and C together 3) Any two of them4) Question can’t be answered even after using

all the information5) All statements are required

52. What will be the ratio between P’s and Q’s agesafter 6 years?A. The ratio between their present ages is 6 : 7.B. The difference between their ages after eight

years will be 4 years.C. Four years ago the ratio between their ages

was 5 : 6.

1) B only2) C only3) B or C only4) A, B and C are all required 5) None of these

53. What is the difference between the ages of Premand Anand at present?A. The ratio between the ages of Prem and Anand

five years back was 3 : 4.B. The ratio between the ages of Prem and Anand

after five years will be 5 : 6.C. The ratio between the ages of Prem and Anand

at present is 2 : 3.1) A or C only 2) B and C only3) A and B only 4) A and C only5) Any two of the three statements

54. What is the difference between the ages of Ramesh and Jayant?A. The ratio of the present age of Ramesh to his

age after 8 years is 5 : 8.


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B. The ratio of the present ages of Ramesh and Jayant is 5 : 4.

C. The ratio of the present age of Ramesh to hisage four years before was 6 : 5.

1) Any two of A, B and C2) Only B or C3) Only B and A, or B and C4) A, B and C together 5) None of these

55. What will be the ratio between Ramesh’s and Anand’s ages after 7 years.A. The ratio between their present ages is 7 : 8.B. The difference between their ages after eight

years will be 5 years.C. Four years ago the ratio between their ages

was 5 : 7.1) B only2) C only3) Any two of the three4) A, B and C are all required 5) None of these

56. What is Sangita’s present age?A. Five years ago, Sangita’s age was double that

of her son’s age that time.B. Present ages of Sangita and her son are in the

ratio of 11 : 6 respectively.C. Five years hence, the respective ratio of

Sangita’s age and her son’s age will become12 : 7.

1) Only A and C 2) Inly B and C3) Only A and B 4) Any two of the three5) None of the above

[IRMA-2002]

57. What is the present age of Subir?I. The present age of Subir is half that of his

father.II. After 5 yrs the ratio of Subir’s age to his father’swill be 6 : 11.III. Subir is 5 yrs younger than his brother.1) Only I and II 2) Only I and III3) Only II and III4) All I, II and III 5) Even with all the three

statements answer cannot be given.[RBI Grade-‘B’ Officers’ Exam-2002]

Percentage

58. The price of which of the two articles was re-duced by the largest amount?

A. The price of one article was reduced by 15%.B. The price of the other article was reduced by

10%.

C. The total reduced price of both the articles isRs 6000.1) A and B together are sufficient2) B and C together are sufficient3) C and A together are sufficient4) A, B and C together are necessary5) A, B and C even together are not sufficient

59. A, B and C secured 45%, 50% and 60% marksrespectively in Biology. D’s marks in Biology are10 more than A’s marks and 20 less than C’smarks. Find out the total marks of the four stu-dents.A. For the students, total marks allotted for Biol-

ogy is 800.B. Total of D’s and A’s marks is 190.C. C has obtained 120 marks.1) A and B are sufficient2) Only C is sufficient3) Either A and B together or C alone is sufficient4) All together are necessary5) All A, B and C even together are not sufficient

60. Find out Rahul’s percentage of marks in the ex-amination.A. He appeared in all the five papers of the exami-

nation carrying full marks of 100 for each pa- per.

B. He gained 6% marks more than the marksneeded for first division.

C. He got 30 marks more than the marks needed for first division.

1) A and C are sufficient2) B alone is sufficient3) Either only B or A and C together are sufficient4) All together are necessary5) Any two of A, B and C are sufficient

61. What fractional part of the total strength of ahigh school did participate in a blood donationcamp?A. One-third of the boys participated in the camp.B. Half of the girls participated in the camp.C. The difference between the two participation

groups is 40% of the no. of boys who participated in the camp.

1) A and B are sufficient2) All statements are necessary


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3) All even together are not sufficient4) Any two statements are sufficient5) A and B or B and C are sufficient

62. What is the price of a chair?A. The price of three tables is equal to the priceof seven chairs.

B. The difference between the price of a tableand that of a chair is Rs 900.

C. The price of one table is %3

1133 more than

the price of one chair.1) Only A and B together are sufficient2) Only A and C together are sufficient3) All together are necessary4) B and either A or C together are sufficient

5) Even all A, B and C together are not sufficient63. What is the total no. of boys in a college?A. The no. of boys in the college is 30% more

than that of girls.B. The ratio between them is 13 : 10.C. Total no. of students in the college is 3910.1) Any two of them are sufficient2) A and B together are sufficient3) A and C together are sufficient4) Either A and C together or B and C together are

sufficient5) All statements are required to answer the ques-

tions

64. X, Y and Z secured 45%, 50% and 60% marksrespectively in Biology. W’s marks in Biology is12.5 more than X’s marks and 4 less than Z’smarks. Find out the individual marks of four stu-dents.A. For the students total marks obtained for Biol-

ogy is 311.5.B. Total of W’s and X’s marks in Biology is 147.5.C. Z has obtained 84 marks.1) A and B together 2) Only C3) A and either B or C 4) All together 5) None of the above

65. The price of which of the two articles was re-

duced by the largest amount?A. The price of one article was reduced by 20%.B. The price of the other article was reduced by

10%.C. The total reduced price of both the articles is

Rs 8000.

1) A and B together 2) B and C together 3) C and either A or B

4) All statements are required 5) Question can’t be answered even after usingall the information

66. The cost of three pencils, four erasers and five paperweights is Rs 28. What is the cost of aneraser?A. The cost of a paperweight is 25 paise less

than that of the pencil and eraser together.B. The cost of ten paperweights and 8 erasers is

Rs 42.50.C. The cost price of a pencil is 80% more than

that of an eraser.1) Any two of them

2) Either B alone or A and C together 3) Any of them4) All statements are required 5) None of these

67. What is the pass marks in an examination?A. Sundaram gets 10% of the total and fails by 4

marks.B. Faisal gets 20% of the total, which is 1 mark

more than the pass marks.C. Difference between Faisal’s and Sundaram’s

marks is 5.1) Either A and B together or C alone2) Any two of them

3) Only A and B together 4) C and either A or B5) None of these

68. What is the difference between two numbers?A. 60% of the bigger number is equal to the smaller

number.B. Half of the bigger number is 5 less than the

smaller number.

C. 40% of the bigger number is equal to %3

266

of the smaller number.1) Only A and B together

2) Only B and C together 3) Any two of them4) All statements are required 5) None of these

69. In a school what is the total number of students?A. 28 students play cricket and their number is


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56% of students who play football.B. 65% of the total students play football.C. Ratio between cricket players and total stu-

dents is 14 : 39.1) Any two of them2) A and either B or C3) Only A4) Only B and C together 5) All statements are required

70. If the length of a rectangle is decreased by 15%and width is increased by 20%, find the changein area in terms of magnitude.A. Breadth of the rectangle is 16 cm.B. Length of the rectangle is 25 cm.C. Area of the rectangle is 400 cm2.1) Only C 2) Only A and B together

3) Any two of them 4) Any one of them5) None of these

71. What is the amount saved by Mr X per month?A. He spends 10% of his earning on food, 25%

on rent, 10% on education of children and 20% on miscellaneous item, and saves therest.

B. He spends Rs 2000 per month on education of children.

C. He gets Rs 700 interest on one month’s sav-ings if the rate of interest is 10% per annum.

1) Only A nad B together are sufficient.2) Either A and B together or C alone is sufficient

to answer the question.3) Any two of the three statements are sufficient.4) All the three statements together are neces-

sary.5) All the three even together are not sufficient.

72. 40 students sit in rows and columns. How manystudents are seated in each column?A. The number of rows is 62.50% of the number

of columns.B. The number of rows is 5/8 of the number of

columns.C. The number of rows is less than the number of

columns.

1) Only A 2) C and either A or B3) Only B 4) Either A or B5) All the statements are required

73. What is the difference between two numbers?A. 60% of the bigger number is equal to the smaller

number.B. Half of the bigger number is 5 less than the

smaller number.

C. 40% of the bigger number is equal to %3

266

of the smaller number.1) Only A and B together 2) Only B and C together 3) Any two of them4) All statements are required 5) B and either A or C

74. What is the minimum marks required to pass anexamination?A. A student gets 25% marks and fails by 40

marks.B. Another student who appeared in the same

examination gets 70% of the pass marks and fails by 42 marks.

C. The total marks of the examination is 400.1) Any two of them2) Either B alone or A and C together 3) Only A and C together 4) Any of them5) None of these

75. What is the difference between two numbers?

A. First number is %3

133 less than the second.

B. 60% of the second number is 21 more than20% of the first number.

C. HCF of the first and second numbers is 15.1) Only A and B together

2) A and either B or C only3) Any two of them4) A and B together or C only5) None of these

76. How much minimum marks is required to pass anexamination?A. Student A secured 38% marks in the examina-

tion and failed by 8 marks. Student B secured 42% marks in the same examination and got12 more than the minimum pass marks.

B. Student A secured 35% of the total marks inthe examination and failed by 23 marks. If hehad secured 25 more marks his percentage of

marks would have been 40%.C. A student will be declared passed if he se-cures 39.60% of the total marks.

1) Any two of them2) Only A3) C and either A or B4) Either A or B only


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5) Any of these77. Vishal secured 20% more marks than Jayant.

Umesh secured 10% less marks than Vishal.

Yogesh secured marks equal to the average marksof Vishal and Umesh. What is the average marksof the four? To answer the question, which of the following information given in statements (A),(B) and (C) is/are necessary/sufficient?A. Marks were out of 200.B. Jayant’s marks were 100.C. Yogesh’s marks were 114.1) B alone is sufficient2) Only C alone is sufficient3) Both A and B together are necessary4) Both A and C together are necessary5) All A and B and C together are necessary

78. Nisha, Sneha and Suma secured 50%, 60% and 70% marks respectively in English. Deepa’smarks in English are 10 more than Nisha’s and 30less than Suma’s. What are the total marks of 4students together in English? To answer thisquestion, which of the following informationgiven in the statements (A), (B) and (C) is/aresufficient/necessary?A. Total marks allotted for English is 200.B. Total of Deepa’s and Nisha’s marks is 210.C. Suma’s marks in English is 140.1) A and C together are necessary.2) Only B alone is sufficient

3) Only C alone is sufficient4) All A, B and C together are necessary5) None of these

79. What is Sudha’s present salary?I. The salary increases every year by 15%.II. Her salary at the time of joining was Rs 10000.III. She had joined exactly 5 years ago.1) II and III only 2) I and II only3) All I, II and III 4) I and III only5) None of these

[PNB Management Trainee - 2003]80. How many students are there in all in the insti-

tute of Arts, Commerce and Science?

I. 20% of the students study Science.II. The numbers of students studying Arts and Commerce are in the ratio of 3 : 5.

III. The number of students studying Commerceis more than that studying Science by 375.

1) II and III only2) III and either I or II only

3) Any two of the three4) All I, II and III5) Question cannot be answered even with the

information in all three statements[PNB Management Trainee - 2003]

Population

81. In how many years would the population of atown triple itself as compared to that of today?A. At present the population of the town is 5.6

lakh.B. The rate of growth of population is 25% per

annum.C. The rate of death is not to be taken into ac-

count.1) Only B is sufficient

2) B and C are sufficient3) All together are sufficient4) A and C are sufficient5) Either A or B is independently sufficient

82. What is the male population of the city?A. The total population of the city is 40000.B. If male population is increased by 4% the total

population will be 41040.C. If female population is increased by 10% the

total population will be 41400.1) Only A and C2) Any two of them3) Only A and B

4) All together are required 5) Any one of them

Ratio and Proportion

83. What is the monthly income of Ramesh?A. The ratio of the monthly income of Mukesh

and Suresh is 2 : 3.B. Ramesh gets Rs 1500 more than Suresh.C. Mukesh gets Rs 2500 less than Ramesh.1) Any two of A, B and C are sufficient2) Only A and B are sufficient3) Only A and C are sufficient4) All together are sufficient

5) All even together are not sufficient

84. ?y:x 22

A. The sum of these two quantities and their difference is 12 whereas the difference of thesum of these two quantities and their differ-


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ence is 6.B. y is 50% less than x.

C. 2:1x:y

1) Only A and B are sufficient2) Any two of A, B and C are sufficient3) Any one of A, B and C is sufficient4) Only B and C are sufficient5) All together are sufficient

85. Find the number of goats in a group of goats and hens.A. The total no. of hens is 20.B. In the group, the no. of legs are 32 more than

twice the no. of heads.C. If 4 rabbits be included in the group, the total

no. rises to 40.

1) B and C are sufficient2) B alone is sufficient3) A and C are sufficient4) A, B and C even together are not sufficient5) Either A and C together or B is sufficient

86. Find .y:x 22

A. 5.1y:x B. xy = 54

C. 45.13y:x 33

1) Anyone of A, B and C is sufficient2) Either A and B together or B and C together are

sufficient3) All together are necessary4) Either A or C is sufficient5) Either option 2 or option 4 is sufficient

87. Rahim and Rahul have incomes in the ratio 4 : 5.The expenses of Rahim, Rahul and Rohit are inthe ratio 5 : 7 : 6. Find Rahim’s savings.A. Rahul spends Rs 24000.B. Rahul saves Rs 4000.C. Rohit spends Rs 18000.1) Statements A and B are sufficient2) Statements B and C are sufficient3) All statements are necessary

4) Any two statements are sufficient5) Statements B and A or C are sufficient88. What is the monthly salary of Rajesh? To get the

answer which of the following information is/arenecessary/sufficient?A. Rajesh’s monthly salary is Rs 2000 more than

that of Rakesh.B. The ratio of the monthly salaries of Rakesh

and Rajesh is 3 : 7.

C. The annual salary of Rakesh is Rs 18000.1) A and B together are sufficient2) B and C together are sufficient3) All A, B and C are necessary4) Any two of the three statements are sufficient5) A, B and C even together are not sufficient

89. What is the cost of 3 chairs, 4 tables and 5 benches?A. The ratio of the cost of a chair and table is 3 :

8.B. The ratio of the cost of a bench and a table is

5 : 3.C. The cost of one chair and two tables is Rs

6000.1) A and B together are sufficient2) B and C together are sufficient3) Any two statements are sufficient4) All together are necessary5) All even together are not sufficient

90. Find the no. of males and females at a party.A. The ratio of males and females at the party is

5 : 2.B. The no. of females is 40% of the no. of males.C. The no. of females is 60 less than the no. of

males.1) A and B are sufficient

2) B and C are sufficient3) C and A or B together are sufficient4) Any two statements are sufficient5) None of these

91. The money is to be distributed among P, Q and R. What will be R’s share in it?A. The difference between R’s and Q’s share is

Rs 100.B. P’s share is Rs 270.C. The ratio of the shares of Q and R is 3 : 7.1) Only A2) A and C together 3) All are not sufficient4) All are required 5) None of these

92. The total marks obtained by Ramu in Commerce,Hindi, Physics and English is 360. Find the markshe obtained in Commerce.A. The ratio of Ramu’s marks in Commerce and


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Physics is 3 : 4.B. Marks obtained by Ramu in Physics is 25 more

than in Commerce.

C. Total marks obtained by Ramu in Hindi, Phys-ics and English together is 285.1) Only A and B together 2) Only C is sufficient3) Either C alone or A and B together are suffi-

cient4) All statements are required 5) Question can’t be answered even after using

all the information

93. What will be the value of 2c ba ?A. Ratio of a, b and c is 5 : 8 : 3 and the difference

between a and c is equal to 230.

B. The sum of a and c is equal to the double of b.

C. The half of second number is equal to2

17

times the sum of the remaining two numbers.1) Only A2) Either A alone or B and C together 3) Only B and C together 4) All statements are required 5) Question can’t be answered even after using

all the information94. What is the monthly salary of Amit?

A. Amit’s monthly salary is Rs 2000 more than

that of Pramod.B. The ratio of monthly salaries of Amit and Pramod is 29 : 19.

C. The annual salary of Pramod is Rs 45600.1) Only A and B together are sufficient2) Only B and C together are sufficient3) All A, B, C are necessary4) Any two of them are sufficient5) A, B and C even together are not sufficient

95. What is the total number of coins in a bag con-taining only 50-paise and one-rupee coins?A. Total number of coins in the bag is equal to

twice the number of 50-paise coins.

B. If the number of 50-paise coins decreased by50%, the bag would have Rs 62.50.C. If the number of one-rupee coins is decreased

by 20%, the bag will have Rs 65.1) A and either B or C2) Any two of them3) Any of them

4) Only A and B together 5) All statements are required

96. A company has two kinds of employees—supervisors and clerks. The total monthly salary of the employees is Rs 285000. What is the totalnumber of employees in that company?A. The ratio of the no. of surpvisors to that of

clerks in the company is 4 : 5.B. The total monthly salary of all the supervisors

is 28% more than that of clerks.C. 20% of the clerks’ monthly salary is Rs 25000.1) Only A and B together 2) Only A and C together 3) Only C4) All statements are required 5) Question can’t be answered even after using

all the information

97. What is the monthly salary of Ashok?A. Ashok’s monthly salary is Rs 2,400 more thanthat of Varun.

B. The ratio between the monthly salaries of Varunand Pratap is 4 : 7.

C. Pratap’s annual salary is Rs 1,68,000.1) Only B2) Only A3) B or C only4) A, B, and C are all required 5) None of these

98. What will be the difference between P’s and Q’sshare in an amount?

A. The amount is divided among P, Q and R.B. The ratio between P’s and R’s shares is 3 : 5.C. The ratio between Q and R is 6 : 7.1) Only A2) Only B3) A, B and C are all required 4) Even with all A, B and C together the answer

cannot be determined 5) None of these

99. What is the monthly salary of Rajesh?A. Rajesh’s monthly salary is Rs 3000 more than

that of Suraj.B. The ratio between the monthly salaries of Suraj

and Rajnish is 4 : 7.C. Rajnish’s annual salary is Rs 14000.1) Only B2) Only A3) B or C only4) A, B and C are all required


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5) None of these100. What is the difference between A’s and B’s share

in an amount?

A. The amount is divided among A, B and C.B. The ratio between A’s and B’s share is 4 : 6.C. The ratio between B’s and C’s shares is 6 : 7.1) Only A2) Only B3) A, B and C are all required 4) Even with all a, B and C together the answer

can’t be determined 5) None of these

101. What is the ratio of the marks of Ravi in Englishand Mathematics?A. Ravi has scored 300 marks as total in English,

Hindi and Mathematics.

B. Ravi has the ratio of marks in Mathematicsand Hindi as 2 : 3.

C. Ravi has the difference of marks in Englishand Hindi as 15.

1) Only B or C2) Only A or B3) Only A or C4) A, B and C together will give the answer 5) Even A, B and C together can’t provide the

answer 102. What is the monthly salary of Pravin?

I. Pravin earns Rs. 1,200 more than Amal.II. The ratio between Amal and Vimal’s monthly

salary is 5 : 3.III. Vimal earns Rs. 1,000 less than Amal.1) Any two of I, II and III are required 2) Only I and II are required 3) Only II and III are required 4) All I, II and III together are required 5) None of these

[BSRB-Mumbai PO-1998]

103. What is the staff strength of Company ‘X’?I. Male and female employees are in the ratio of

2 : 3 respectively.II. Of the officer employees 80% are males.III. Total number of officers is 132.1) I and III only 2) II and either III or I only3) All I, II and III 4) Any two of the three5) Question cannot be answered even with the


Partnership

104. P, Q and R start a business. Find the share of R inthe profit earned at the end of the year.

A. P contributes one-third of the capital.B. The total profit earned at the end of the year is

Rs 48000.C. Q contributes as much as P and R together.1) A and C are sufficient2) All statements together are necessary3) All statements even together are not sufficient4) Any two statements are sufficient5) B and C are sufficient

105. The following question is accompanied by threestatements A, B and C. You have to determinewhich statement(s) is/are necessary/sufficient toanswer the question.Two persons X and Y entered into a partnership.Find the share of X’s profit.A. The ratio of the capitals of X and Y is 3 : 5.B. X invested his money for two months more

than Y.C. Y’s share in the total profit is Rs 1000 less than

the share of X.1) A and B are sufficient2) C and A are sufficient3) Any two statements are sufficient4) All together are necessary5) All even together are not sufficient

106. What is the share of Milan in the profit after theend of December 1998?A. He has invested Rs 35,000 after 5 months of

investing the money by Pravin.B. Pravin has started business by invsting Rs

30,000 in February 1998.C. Pravin got a profit of Rs 4400.1) Only C is sufficient2) All together are necessary3) A and C together are sufficient4) B and C together are sufficient5) All even together are not sufficient

107. Ritwik, Rohit and Dheeraj invest some money

and buy a photocopy machine. They share theearnings in proportion to the amount invested

by them. What is the share of Ritwik in the earn-ing?A. Total earning on one particular day is Rs 1496.B. Rohit gets Rs 102 more than Ritwik and Rs 68


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less than Dheeraj.C. The earning of Rohit and Dheeraj together is

Rs 1088.

1) Only A and C2) Any two of them3) Only A and B4) All together are required 5) Any one of them

108. Two persons Amit and Madhav entered into a partnership. Find the share of Amit in the total profit.A. The ratio of the capitals of Amit and Madhav

is 4 : 5.B. Amit invested his money for two months more

than Madhav.C. Madhav’s share in the total profit is Rs 800

more than the share of Amit.1) Questions cannot be answered even after us-

ing all the information.2) All statements are required to answer the ques-

tion.3) A and C together 4) A and B together 5) Either A and B together or A and C together

109. Three friends named Rakhi, Surjeet and Aishwariatogether started a business. Find their individualshares.A. The amount invested by Surjeet is half of that

by Rakhi and Aishwaria together.

B. The average amount invested by all three isRs 30 lakh.

C. The ratio between the investments of Rakhiand Surjeet is 3 : 4.

1) All statements are required to answer the ques-tion

2) Ony A and C together 3) Only B and C together 4) B and either A or C5) Question can’t be answered even after using

all the information110. Raghubir started a business with Rs 80000 for

two years. After three and nine months respec-tively Samar and Venkatesh joined the business.Find their percentage profit.A. The ratio of investment after one year is

16 : 9 : 4.B. Amount invested by Raghubir is Rs 20000

more than that of Samar.

C. The ratio of investments of Raghubir and Venkatesh is 2 : 1.

1) Only B and C together

2) Only A3) C and either A or B4) All statements are required 5) Question can’t be answered even after using

all the information111. Two persons Ramu and Shyam entered into a

partnership. Find the profit of Shyam.A. Ramu and Shyam started the business with a

capital of Rs 12000 and Rs 9000 respectively.B. Ramu invested the money for two months more

than Shyam.C. Ramu’s share in the total profit at the end of

first year is Rs 1500 more than that of Shyam.

1) Only A and B together 2) Only A and C together 3) Any two of them4) All statements are required 5) Question can’t be answered even after using

all the statements112. How much marks did Vijay get in Mathematics?

A. He secured an average of 55 marks in four subjects including Mathematics.

B. He secured a total of 140 in Mathematics and Hindi together.

C. He secured a total of 160 in Hindi and Englishtogether.

1) All together are required 2) Only B and C3) Only A and B4) Any two of them5) None of these

113. M, N and P together invested an amount of Rs75000 in the ratio of 3 : 7 : 5. What was the per cent profit earned by them at the end of one year?A. The profit of N at the end of the year was Rs

1600 more than that of M.B. The profit of P at the end of the year was

3

266

% more than that of M.C. The profit of P at the end of the year was Rs

2000.1) Only B 2) Any of the three3) Either A or C 4) Only C5) None of these


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114. Two friends X and Y earned profit in a business.Find out their shares.A. X had invested his capital for 8 months and Y

for 10 months.B. The ratio of their capitals was 5 : 4.C. The total profit was Rs 18760.1) Only A and B together 2) Only A and C together 3) Any two of them4) Either B alone or A and C together 5) All statements are required

115. What is Mohan’s share of profit in a business?A. Ravi started the business investing Rs 72,000.B. Mohan joined Ravi with a capital of Rs 80,000

after 3 months.C. Renu joined Ravi after 4 months with a capital

of Rs 99,000 and got Rs 7,700 as her share of profit after one year.

1) Only C2) Only A and B together 3) All statements are required 4) Either C alone or A and B together 5) Even with all A, B and C the answer can’t be

arrived at.116. What will be the share of R in the profit earned

by V, R and A together?A. They together invested an amount of Rs 54000

for a period of one year.B. R’s investment was 25% less than V’s and

50% more than A’s.C. The profit of V is Rs 4000 more than that of A.1) Only A and B together 2) B and either A or C only3) Only B4) Only B and C together 5) Question can’t be answered even after using

all the informations117. P, Q and R together invested an amount of Rs

42000 in the ratio of 4:3:7 for different periods of time. What was the amount of profit earned bythem individually at the end of one year?A. They invested for periods in the ratios of 1:2:1.B. R’s profit is Rs 5500 less than Q’s investment.C. Total amount of profit at the end of one year is

Rs 8800.1) Only A and B together 2) Only A and C together 3) A and either B or C

4) All statements are required 5) Question can’t be answered even after using

all the informations

118. Two friends X and Y entered into a partnership.Find the share of X’s profit.A. The ratio of the capitals of X and Y is 3 : 5.B. X invested his money for two months more

than Y.C. Y’s share in the total profit is Rs 1000 less than

the share of X.1) A and B together 2) A and C together 3) Any two of them4) All together are necessary5) All even together are not sufficient

119. Ashok earned a profit of Rs 10,000 by investing

Rs 1,50,000 in a business for one year. If the profitearned in the business is proportional to the in-vestment and the period of investment, whatwould have been the share of Saket in the total

profit at the end of one year, had Saket and Sudhir joined Ashok in the business? To answer thisquestion, which of the information given in theStatements (A), (B), (C) and (D) below is/are nec-essary/sufficient?A. Sudhir’s investment was for 9 months.B. Saket’s investment was thrice that of Ashok.C. Total profit earned by the three at the end of

one year was Rs 55,000.

D. Sudhir’s investment was two-thirds of that of Ashok.

1) A, B and D together are sufficient2) A, C and D together are sufficient3) All A, B, C and D together are sufficient4) B, C and D together are sufficient5) All A, B, C and D together are not sufficient

120. What is R’s share of profit in a joint venture?A. Q started a business investing Rs. 80,000/-B. R joined him after 3 months.C. P joined after 4 months with a capital of Rs. 1,

20,000 and got Rs. 6,000 as his share of profit.1) Only A and C are required 2) Only B and C are required 3) All A, B and C together are required 4) Even with all A, B and C the answer cannot be

arrived at5) None of these

[SBI PO Exam-2000]


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Discount

121. A customer is given two successive discountson an article. Find the second discount.

A. The selling price of the article.B. The first discount % is 30% of the second

discount %.C. The marked price of the article.1) A and B are sufficient2) B and C are sufficient3) All together are necessary4) All even together are not sufficient5) Either A and B or B and C together are suffi-

cient122. The cost price of two articles is Rs 2400. The

price of which of the two articles was reduced bylarger amount?A. The purchaser was given a discount of 8% on

the first article.B. The purchaser was given a discount of 10%

on the second article.C. The cost price of the second article is more

than that of the first article.1) All statements are necessary2) All even together are not sufficient3) A and B are sufficient4) Any two statements are sufficient5) A and B together or C alone is sufficient

123. To find the three successive discounts ( 1r , 2r

and 3r ), which of the following statement/s is/

are sufficient/necessary?A. The resultant discount of the two successive

discounts is 28%.B. The resultant discount of the three succes-

sive discounts is 49.6%.

C. The third successive discount, 3r , is 30%.

1) A and C are sufficient2) A and B are sufficient3) Any two statements are sufficient4) All together are necessary5) All even together are not sufficient

124. What is the original price of the TV bought byAbhijit?A. He bought it at 20% discount on the original

price.B. He sold it to Amit for Rs 22000 and earned

10% profit.

C. If he had bought it at 25% discount he would

have a profit of %3

117 .


125. What is the cost price of the book?A. After allowing a discount of 18% on printed

price shopkeeper charges Rs 516.60 for it.B. If he had not allowed any discount, he would

have a profit of 25%.C. If he had allowed only 10% discount on

printed price then he would have 12.5% profit.

1) Any two of them 2) Either A and B or C3) Any one of them 4) All together is required 5) A and either B or C

126. A customer is given two successive discountson an article. Find the second discount.A. The marked price of the article is Rs 600.B. The first discount is 20%.C. The selling price of the article is Rs 400.1) Only A and B together 2) Only A and C together 3) All statements are required to answer the ques-

tion4) All even together are not sufficient

5) Only B and C together 127. Find the percentage profit if the shopkeeper gives

a discount of 20% on marked price of an article.A. Marked price of the article is Rs 200.B. Cost price of the article is Rs 150.C. Selling price of the article is Rs 160.1) Only A and C together 2) Only B and C together 3) B and either A or C4) Any of them5) All statements are required

128. A man sold a pair of shoes at Rs 150 profit. Find his per cent profit.

A. He allowed 20% discount at label price whichwas Rs 750.

B. The cost price was Rs 450.C. The selling price was Rs 600.1) A and B together 2) B and C together 3) Either B or C 4) Only A


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5) Any of them129. Find the prcentage profit on an article.

A. Marked price of the article is Rs 6000.

B. Difference between the selling price and cost price of the article is Rs 800.C. A discount of 20% is given on marked price.1) A and B together 2) A and C together 3) B and C together 4) Question can’t be answered even after using

all the statements5) All statements are required

130. The marked price of an article is Rs 1200. Find thecost price of the article.A. 20% discount is given on the marked price.B. The difference between the selling price and

the cost price of the article is Rs 160.C. 20% profit is made on the cost price.1) Any two of them2) Only B and C together 3) Only A and B together 4) B and either A or C5) None of these

131. What is the selling price of the article?A. A discount of 25% is given on marked price.B. Difference between marked price and cost

price of the article is Rs 1600.C. If discount is not given on the article there

would be a profit of 15%.

1) Only A and B together 2) Only B and C togehter 3) B and either A or C4) Question can’t be answered even after using

all the information5) All statements are required

132. A shopkeeper marks the price of an article and gives a discount of 205. Find the marked price of the article.A. If the discount is not given on the article then

the shopkeeper gets 60% profit.B. The cost price of the article is Rs 2500.C. After giving the discount the shopkeeper gets

28% profit.1) Only A and B together 2) Only B and C together 3) Any two of them4) B and either A or C5) A and either B or C

133. What is the cost price of an article?A. After allowing a discount of 15% on marked

price the shopkeeper charges Rs 1020 for it.

B. If he had not allowed any discount, he would

have had a profit of17

147 %.

C. If he had allowed only 10% discount on marked

price, he would have had17

632 % profit.

1) Any two of them2) Only A and B together 3) Only B and C together 4) A and either B or C5) Only A

134. What is the per cent profit earned by a shop-keeper on selling the article?A. Marked price of an article is 20% above the

cost price.B. The shopkeeper allows a discount of 10% on

the marked price.C. A discount of Rs 12 is given by the shop-

keeper.1) A and either B or C2) Any two of them3) Only A and B together 4) Only A5) All the statements are required

135. A shopkeeper sells articles at a certain profit.Find out the amount of profit.A. Ratio of the selling price to the cost price of

the articles is 5 : 4.B. If the cost price increases by Rs 500, and sell-

ing price remains the same, the profit percent-

age is decrease by %9

813 .

C. If the marked price is kept at Rs 1000 abovethe cost price and a discount of 15% is given,then the profit percentage is decreased by

%4

3

18 .

1) Only A and B together 2) A and either B or C3) Only A and C together 4) All statements are required


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5) None of these136. Find the % discount on marked price offered by

a shopkeeper.

A. If the shopkeeper does not give the discount,he will gain a profit of 50%.B. If the shopkeeper gives the discount, the profit

will be 38%.C. The cost price of the article is Rs 400.1) Any two of them2) All statements are required 3) C and either A or B4) Only A and B together 5) None of these

137. A shopkeeper sold an article and got Rs 108 as profit. Find the profit percentage.A. Selling price of the article is Rs 828.

B. He gave 10% discount on the marked price,which is Rs 920.

C. Cost price of the article is Rs 720.1) Any two of them 2) Either A or C3) Any of them 4) Only B5) All statements are required

138. What is the cost price of an article?A. After allowing a discount of 10% on marked

price the shopkeeper charges Rs 810.B. If the shopkeeper does not give the discount

the shopkeeper gets a profit of 50%.C. If the shopkeeper gives only 5% discount on

marked price, he will have 42.50% profit.

1) Any two of them2) Only A and B together 3) Only B and C together 4) A and either B or C5) Only A

139. Shyam bought a radio at a certain percentage of discount on the original price and sold it at Rs1380. What would have been the profit percent-age on the original price?A. He earned a profit of 20% by selling it at Rs

1296.B. If Shyam gets 5% less discount then he has to

pay Rs 60 more than he was paying earlier.C. Shyam bought the radio at 10% discount.1) Only A and C together 2) Either B alone or A & C together 3) Any two of them4) All statements are required 5) Any one of them

140. What was the amount of profit earned?A. 10% discount was offered on the labelled price.B. Had there been no discount, profit would have

been 30%.C. Selling price was more than the cost price by20%.

1) A and either B or C2) Any two of the three3) All A, B and C4) Either A or B and C5) Question cannot be answered even with the

information in all three statements[PNB Management Trainee-2003]

Profit and Loss

141. Some pens were sold by Rahul. Find his profit.

A. He bought 100 pens for Rs 2250 and his expenditure for the conveyance amounted toRs 250.

B. He gifted 4 dozen pens to his friend Rahi.C. He sold the remaining pens to his other friends

at 30% gain.1) A and B are sufficient2) B and C are sufficient3) A and C are sufficient4) All together are necessary5) A, B and C even together are not sufficient

142. Find the gain or loss % of a person who sells twocowsA. He sells one cow at 20% gain.B. He buys his two cows for Rs 2450.C. He sells the other cow at 20% loss.1) All statements A, B and C together are neces-

sary2) All even together are not sufficient3) Statements A and B together are sufficient4) Statements B and C together are sufficient5) Statements A and C together are sufficient

143. Find the gain or loss per cent of Rahul, who sellstwo radios.A. He sells one radio at 25% loss.B.

He has bought the two radios at equal costsof Rs 900 each.C. He sells the other radio at 20% gain.1) Statements A and B are sufficient2) Statements B and C are sufficient3) Statements C and A are sufficient


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4) All together are necessary5) All even together are not sufficient

144. Rajnish buys 30 books and 65 pens. What money

does he have to pay for this?A. At a profit of 20% he sells all the objects for Rs3828.

B. The CP of one book and one pen is Rs 90.C. The difference of sum and difference of buy-

ing price of one pen and one book is Rs 28.1) Only A alone is sufficient2) B and C together are sufficient3) A alone or B and C together are sufficient4) All together are necessary5) All even together are not sufficient

145. What is the profit of Rajesh in selling 13 shirtsand 9 trousers?

A. The cost price of 7 shirts is equal to the cost price of 4 trousers.

B. The selling price of 3 trousers is equal to theselling price of 5 shirts.

C. The cost price of 11 shirts is Rs 715.1) All statements are required 2) A and C together 3) Question can’t be answered even after using

all the information4) A and B together 5) B and C together

146. Find the gain or loss percentage of a person whosells two TVs.

A. He sells one TV at 25% gain.B. He bought his two TVs for Rs 34,000.C. He sells the other TV at 20% loss.1) All statements are required 2) Even all statements together are not sufficient3) A and B together 4) B and C together 5) A and C together

147. If the cost price of an article is Rs 600 more thanthe other, find the net gain or loss per cent of Arun who sells the two articles.A. Selling price of both the articles is Rs 3060.B. Arun sells the first article at a profit of 20%

and the second article at a loss of 25%.C. If the profit and loss per cent interchange as

stated in statement B then the total selling price becomes Rs 2790.

1) Only A and B together 2) Only A and C together

3) Only B and C together 4) B and either A or C5) Either B or C only

148. A man bought a number of cycles for Rs 36000.He kept one for his own use and sold the rest.How many cycles did he buy?A. He sold the rest at the rate of Rs 200 more than

he gave for one cycle.B. He makes a profit of Rs 2000 even after includ-

ing the cost of his own cycle.C. If he had sold the cycles at a profit of 25% his

gain would have been Rs 6750 even after in-cluding the cost of his own cycle.

1) Only A and B together 2) Any two of them3) Any of them

4) A and either B or C5) All statements are required to answer the ques-

tion149. How much did an article originally cost?

A. It changed hands 3 times and each seller gained 25%.

B. The third person sells it for Rs 250 more thanthe second.

C. The second person sells it for Rs 200 morethan the first.

1) A and either B or C2) Any two of them3) Any of them

4) Either B or C5) All statements are required

150. What is the cost price of a table?A. By selling the table for Rs 600 instead of Rs

500, loss per cent decreases by 10%.B. When the cost price of the table increases by

10% and then decreases by 10%, it reduces by Rs 10.

C. By selling the table and a chair for Rs 1500 anet profit of 25% is made.

1) Only A or B alone2) Only B or C alone3) Only A and C together 4) Any two of them together 5) Either B alone or A and C together are suffi-

cient151. The cost price of 20 articles is the same as the

selling price of 30 articles. To find the loss or gain, which of the following information is nec-


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essary?

A. There is a loss of %.3

133

B. Cost price of each article is Rs 5.C. The person bought 100 articles.1) Only A is sufficient2) Only B is sufficient3) Either B or C is sufficient4) Only B and C are sufficient5) All of the three are needed together

152. A shopkeeper sold a watch and got Rs 225 as profit. Find the profit percentage.A. Selling price of the watch is Rs 650.B. He gave 20% discount on the labelled price,

which is Rs 812.50.

C. Cost price of the watch is Rs 425.1) Only either B or C is sufficient2) Only either A or C is sufficient3) Only A and C together are sufficient4) Any one of A, B and C is sufficient5) Any two of A, B and C are sufficient

153. What was the profit earned on the cost price byMahesh by selling an article?A. He got 15% concession on labelled price in

buying that article.B. He sold it for Rs. 3,060/-.C. He earned a profit of 2% on the labelled price.1) Only A and B together are required

2) Only B and C together are required 3) Only either A or C and B together are required 4) Even with all A, B and C the answer cannot be

arrived at5) All A, B, and C together are required

[SBI-PO-2000]

154. How many articles were sold?A. Total profit earned was Rs 1,596.B. Cost price per article was Rs 632.C. Selling price per article was Rs 765.1) B and C only 2) A and B only3) All A, B and C 4) Any two of the three5) Question cannot be answered even with the


Mixture

155. A vessel contains a mixture of two liquids A and B. How much of the liquid ‘A’ was there in the

vessel?A. The ratio of A and B in the mixture is 7 : 5.B. 9 litres of the mixture is replaced by 9 litres of

liquid B.C. The ratio is changed from 7 : 5 to 7 : 9.1) All together are necessary2) A and C together are sufficient3) Any two of them are sufficient4) B and C together are sufficient5) Question cannot be solved even after using

all the information156. In what ratio is milk of container X and Y mixed

so that the mixture has milk and water in ratio 1 :2?A. Container X of capacity 44 litres contains 20

litres pure milk and is filled with water to the

full capacity.B. Milk of container X costs Rs 6.40 and of con-

tainer Y cost Rs 5.30 per litre.C. Container Y of capacity 27 litres has milk and

water in ratio 4 : 5 from which 9 litres of milk isreplaced by 9 litres of water.


Simple Interest

157. Two different sums are deposited at the samerate of simple interest. Find the rate.A. Difference in SI for 1 year.B. One of the principals.C. Difference in principals.1) A and B are sufficient2) A and C are sufficient3) Any two of A, B and C are sufficient4) All together are necessary5) Even all together are not sufficient

158. Find the rate of simple interest.A. A sum of Rs 10 was lent.B.

The loan was to be finished in 11 monthlyinstalments.C. Each instalment is of one rupee.1) All together are necessary2) Any two statements are sufficient3) A and B together are sufficient4) B and C together are sufficient


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5) All even together are not sufficient159. Rinku borrowed an amount of Rs 5000 from Milan

and Rahul. What is the rate of interest?

A. Rinku returned the amount of Rs 5400 after due date to Milan.B. Rinku returned Rs 5900 to Rahul after due

date.C. Rinku returned the money to Milan by SI,

whereas to Rahul by compound interest.1) Only A and B together are sufficient2) Only B and C together are sufficient3) A, B and C together are necessary4) Either A and B together or B and C together are

sufficient5) A, B and C even together are not sufficient

160. How much amount has Rishikesh taken from a

moneylender?A. In 2 years he has to pay Rs 335 as simple

interest.B. In 3 years at the same rate he has to pay Rs

528.04 as simple interest.C. On Rs 2620 at the same rate the simple interest

in two years is Rs 419.20.1) Any two of them2) Any one of them3) B and either A or C4) Only A and B together 5) C and either A or B

161. In what time does a sum of money become triple

at SI?A. Rs 12000 amounts to Rs 16800 in 4 years at SI.B. Rate of interest is 10%.C. A sum of money becomes four times at the

same rate of interest in 30 years.1) Any of them 2) Only B3) Either A or B only 4) Any two of them5) None of these

162. To find the rate of simple interest, which of thefollowing information is sufficient?A. A sum becomes double in 6 years.B. A sum gives an interest of 625 in 15 years.C. A sum becomes four times in 18 years.1) Only A is sufficient2) Only C is sufficient3) Only A or C is sufficient4) Only B and C is sufficient5) All of them together are sufficient

163. How much money did Suraj borrow from Shyam?

A. Suraj paid a total simple interest of Rs 3200.B. The rate of interest was 5% per annum.C. Suraj borrowed the sum for three years.

1) Only A and B2) A or B only3) B and C only4) All A, B and C are required 5) None of these

Compound Interest

164. The compound interest on a sum is Rs 573. Find the rate of interest.A. The simple interest on the same amount at the

same rate is Rs 540.B. The sum is Rs 3000.C. The compound interest is compounded half-

yearly.1) Statements A and B are sufficient2) Statements B and C are sufficient3) Any two statements are sufficient4) All together are necessary5) All even together are not sufficient

165. Who among the wife and the husband will getthe maximum interest?A. The husband deposits a certain sum of money

at 20% p.a. for 2 years, when the interest iscompounded half-yearly.

B. The wife deposits a certain sum of money at10% p.a. for 5 years, when the interest is com-

pounded yearly.C. The ratio of the sums of money of the hus-

band and wife is 3 : 4.1) A and B are sufficient2) Any two statements are sufficient3) Either A and B together or B and C together are

sufficient4) All together are necessary5) All even together are not sufficient

166. A person lent Rs 3500 each to two of his friends.What is the rate of interest?A. Amount repaid by one of them was Rs 3900.B.

The other one repaid Rs 4200 after the due period.C. Amount was given to one of them on simple

interest and to another on compound inter-est.

1) Only A and B together are sufficient2) Only B and C together are sufficient


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3) A, B and C together are necessary4) Either A and B together or B and C together are

sufficient

5) A, B and C even together are not sufficient167. Between P and Q who will get the maximum inter-est? To find the answer which of the followingstatement(s) is/are sufficient/necessary?

A. P deposits a certain sum at 15% p.a. for2

11

years, when the interest is compounded half-yearly.

B. Q deposits a certain sum of money at %2

17

p.a. for 4 years, when the interest is compounded yearly.

C. The ratio of the sums of money of P and Q is2 : 3.

1) Only A and B together are sufficient2) Any two of the three statements are sufficient3) Either A and B together or, B and C together

are sufficient4) All A, B and C together are necessary5) All even together are not sufficient

168. The compound interest on a sum is Rs 625. Find the rate of interest.A. The sum is Rs 3500.B. The simple interest on the same amount at the

same rate is Rs 575.C. The interest is compounded half-yearly.1) Only A and B together are sufficient2) Only B and C together are sufficient3) Any two of the three statements are sufficient4) All A, B and C together are necessary5) Even all together are not sufficient

169. What is the rate of interest at which Ashok hasinvested money?A. CI at this rate of Rs 1600 in two years is equal

to the SI in 3 years of Rs3

11093 at the same

rate.B. The total SI of investment of Rs 1600 for 3years and Rs 1100 for 4 years at this rate is Rs460.

C. In three years Rs 1740 at the same rate be-comes Rs 2001 by simple interest.

1) Any two of them 2) Either A and B or C

3) Any one of them 4) All together is required 5) A and either B or C

170. What should be the rate of compound interest

on an amount?A. Rs 786.52 is amounted at CI on the sameamount after two yrs.

B. At the same rate of interest difference betweenCI and SI after two yrs is Rs 2.52.

C. The ratio of principal and total SI at the samerate of interest after four yrs is 25 : 6.

1) Only B2) A and B together 3) Any two of them4) Either A and B together or C alone5) Even all together are not sufficient

171. On what amount is the simple interest Rs 400?

A. The compound interest on the same sum for two years is Rs 441.

B. The difference between compound interestand simple interest on that sum is Rs 41.

C. Rate of interest is 5%.1) Only C is sufficient2) Only B is sufficient3) Only A is sufficient4) Either A and B together or C alone is sufficient5) Questions cannot be answered even after us-

ing all the information.172. What is the rate of interest?

A. An amount becomes double in 5 years at simple

interest.B. The difference between CI & SI at the end of 2

yrs is Rs 200.C. The sum is Rs 5000.1) Only A2) A and B together 3) Either A alone or B and C together 4) C and either A or B5) None of these

173. What is rate of interest per annum?A. The amount becomes Rs 9331.20 in 2 years at

compound interest.B. The difference between CI and SI at the same

rate of interest in 2 yrs is Rs 51.20.C. The amount invested in Rs 8000.1) Only A and B together 2) Only B and C together 3) B and either A or C only4) C and either A or B only


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5) Any two of them174. What is the rate of interest?

A. The difference between the amount of CI and

that of SI for the same sum after 2 years isRs 5.B. The difference between the CI and SI after 2

years on the same sum is Rs 5.C. The sum is Rs 2000.1) Any two of them 2) B and either A or C3) C and either A or B 4) A and either B or C5) Only A and C together

175. Sujata borrowed a sum of money on compound interest. What will be the amount to be repaid if she is repaying the entire amount at the end of two years?A. The rate of interest is 5 p.c.p.a.

B. Simple interest fetched on the same amount inone year is Rs 300.

C. The amount borrowed is 10 times the simpleinterest in two years at the same rate of inter-est.

1) Only A and B together 2) A and either B or C3) Any two of them4) All statements are required 5) Question can’t be answered even after using

all the information176. A person borrowed a sum of money on com-

pound interest. What amount will the person pay

after two years?A. Simple interest fetched on the same sum in 2

years at the same rate of interest is Rs 1250.B. The simple interest in 4 years on the same sum

and same rate of interest is one-fifth of theamount borrowed.

C. The difference between compound interestand simple interest on the same sum after twoyears is Rs 31.25.

1) Only A and B together 2) Only A and C together 3) Only B and C together 4) Any two of them5) All the statements are required

177. The difference between compound interest and simple interest on a fixed sum at the same rate of interest at the end of two years is Rs 64. Find therate of interest.A. Simple interest on the same sum at the same

rate of interest at the end of three years is Rs2400.

B. Amount on compound interest after two years

becomes Rs 11664.C. Compound interest for two years is Rs 1664.1) Any of them 2) Any two of them3) Either A or C only 4) B and either A or C only5) None of these

178. The compound interest on a sum of Rs 6000 is Rs741.60. Find the rate of interest.A. The simple interest on the same sum at the

same rate is Rs 360.B. Compound interest is compounded quarterly.C. The sum doubles itself in 20 years at the rate

of 5% per annum.1) Only A and B together

2) Only B and C together 3) All statements are required 4) All even together are not sufficient5) C and either A or B

179. What is the total compound interest earned atthe end of three years?A. Simple interest earned on that amount at the

same rate and for the same period is Rs 1200.B. The rate of interest is 10% pa.C. Compound interest for 3 years at the same

rate on the same amount is more than thesimple interest for that period by Rs 98.56.

1) Only A and B 2) Only B and C

3) Only A and C 4) Any two of them5) Either B or C

180. What is the rate of interest per cent per annum?A. The amount becomes Rs 8988. 80 at compound

interest after 2 years.B. The same amount at simple interest becomes

Rs 8960 after two years.C. The amount invested is Rs 8000.1) Only A and B together 2) Only B and C together 3) Any of them4) Any two of them5) Only C

181. A sum of money was put at compound interest.Find the rate per cent.A. If the amount be invested on SI at the same

rate of interest, the sum trebles itself in 20years.

B. 40% of the sum invested at CI and at the end


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of 2 years it yielded an interest of Rs 84.C. The difference between CI and SI at the end of

two years at the same rate of interest is Rs 10.

1) Only A2) Only B and C together 3) Only C4) Either A alone or B and C together 5) All statements are required

182. What is the rate of interest at which Binod hasinvested money?A. The compound interest at this rate of Rs 2500

in 2 yrs is equal to the simple interest in 3 yrs

of Rs3

21716 at the same rate.

B. The total simple interest on an investment of

Rs 12000 for 3 yrs and Rs 10000 for 5 yrs atthis rate is Rs 5160.C. In 3 yrs Rs 1500 at the same rate becomes Rs

1725 by simple interest.1) Any of them2) A and either B or C3) Only C4) Only A and either B or C5) Any two of them

183. Sanjeev borrowed a certain sum on compound interest. What amount will he pay at the end of two years?A. The rate of interest is 5% per annum.

B. Simple interest fetched on the same sum inone year is Rs 500.

C. The amount borrowed is five times the simpleinterest in four years.

1) Any two of them 2) A or C only3) Only A 4) B and either A or C5) All statements are required

184. A sum of money is put at CI for a period of twoyears. Find the rate per cent per annum.A. If the same money is put at SI for three years

then the amount of interest is Rs 712.50 morethan the interest amount calculated on CI atthe end of two years.

B. The simple interest on the same sum at theend of four years is Rs 3000.

C. Sum of money becomes eight times in threeyears at compound interest.

1) Either C alone or A and B together 2) Only A & B together

3) Any two of them4) Only C5) All statements are required

185. What will be the difference between the simpleand compound interest at the same rate on a sumof money at the end of the third year?A. The sum fetches Rs 400 simple interest at the

end of the second year.B. The sum doubles itself at the end of 25 years

at simple interest.C. The total compound interest at the end of the

fourth year was Rs 849.29.1) A only 2) B only3) A or B or C only 4) A or B only5) None of these

186. What will be the difference between the simple

and compound interests on a sum after 4 years?A. The rate of interest is 5 per cent per annum.B. On the sum, the simple interest after 8 years is

Rs 2000.C. The difference between the simple interest

and the copound interest after 2 years is Rs12.50.

1) Only B or C2) A and B or A and C3) Only B4) A, B & C all are necessary5) None of these

187. The compound interest earned on a certain

amount is Rs 432.10. What is the rate of interest?To find out the answer, which of the followinginformation given in the statements (A), (B) and (C) is/are necessary/sufficient?A. The interest was for a period of 4 years.B. The simple interest for the same period with

the same rate would have been Rs 400.C. Difference between the compound interest and

the simple interest on the same amount withthe same rate of interest after 2 years is Rs 10.

1) Only (A) and (C) together 2) Only (A), (B) and (C) together 3) Only (A) and (B) together 4) All the three together are not sufficient5) None of these

188. What will be the difference between the simpleand compound interests at the same rate on asum of money at the end of the third year?A. The sum fetches Rs 200 simple interest at the


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end of the second year.B. The sum doubles itself at the end of 20 years

at simple interest.

C. The total compound interest at the end of thefourth year was Rs 946.27.1) A only 2) B only3) A or B or C only 4) A or B only5) None of these

189. What was the rate of compound interest on anamount of money?I. The amount fetches a total of Rs. 945.75 as

compound interest at the end of three years.II. The difference between the total simple inter-

est and the total compound interest at the end of two years with the same rate of interest wasRs. 15.

III. The ratio between the principal amount and the total simple interest at the end of threeyears is 20 : 3.

1) Only I and II are required 2) Only II and III are required 3) All I, II and III together are required 4) Even with all I, II and III together the answer

cannot be determined 5) None of these

[BSRB-Mumbai-PO-1998]

190. What is the rate of interest pcpa?I. The amount doubles itself in 5 yrs on simple

interest.

II. Difference between the compound interest and the simple interest earned on this amount intwo years is Rs 400.

III. Simple interest earned per annum is Rs 2000.1) Only I2) Only II and III3) Any two of the three4) All I, II and III5) Only I or only II and III

[RBI Grade ‘B’ Officers’ Exam-2002]

Time and Distance

191. Find the total number of leaps of a monkey that

climbs on a pole.A. The monkey takes 10 leaps to climb 6 m up the pole.

B. After climbing up every 6 m of the pole, it slipsdown 2 m in one minute.

C. In getting to the top of the pole it takes a total

of 12 minutes.1) Statements A and B together are sufficient2) Statements A and C together are sufficient

3) Statements B and C together are sufficient4) All together are necessary5) All even together are not sufficient

192. A person travels from x to y and vice-versa. Howlong will it take in travelling both the ways by

bus?A. It takes 15 hrs in travelling from x to y by train

and returning by bus.B. The distance between the two places is 360

km.C. He can save 3 hrs if he travels both the ways

by train.1) A and B are sufficient

2) B and C are sufficient3) A and C are sufficient4) Any two statements are sufficient5) All statements are necessary

193. What is the total distance covered by a car in 18hours?A. The speed of the car during first four hours is

half the speed of the car during last four hours.

B. The distance covered after hrs2

13 but before

2

14 hrs of the journey is 45 km.

C. Average speed of the car is 45 km per hour.1) Only C alone is sufficient.2) Only A and B together are sufficient.3) Any of the three statements is sufficient.4) Any two of the three statements together are

sufficient.5) None of these

194. A person travels from X to Y and back again.How long will it take in travelling both the ways

by bus?A. It takes 21 hours in travelling from X to Y by

train and returning by bus.

B. The distance between X and Y is 648 km.C. A person can save 3 hours if he travels both

the ways by train as compared to travelling by bus on the one side and returning by train.

1) Only A and C together 2) B and either

three statement ds

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