RRBoard Exam Model Question Papers with answers

**RRB Previous Year’s Quantitative Aptitude Question papers**

**Aptitude Questions**

1. The greatest number from these numbers 3.5 4, √0.64, 0.204 x 4, (0.89)2 is

a. (0.89)2

b. 0.204 x 4

c. 3.5 4 – Ans

d. √0.64

2. When a number is divided by 56, the remainder obtained is 29. When the same number is divided by 8, then the remainder will be

a. 5 – Ans

b. 6

c. 2

d. 0

3. Simplified value of

7 + 2 x 6 4 – 12 6 is

a. 0

b. 4

c. 10

d. 8 – Ans

4. The product of two numbers is 432 and half of one of them is 9. Sum of the numbers is

a. 9 – Ans

b. 24

c. 42

d. 32

5. A man is 59 years old. His brother is 7 years older than him and his sister is 12 years younger and his brother. When his sister was 15 years old, then the man’s age was

a. 27 years

b. 29 years

c. 15 years

d. 20 years – Ans

6. The quantity of water in litres, that must be added to 12 litres of beer priced at Rs.10 a litre to reduce the price to Rs.8 a litre, is

a. 3 – Ans

b. 1

c. 2

d. 3.5

7. The sale price of 2 oranges is equal to the cost price of 3 oranges. The gain percent is

a. 40%

b. 50% – Ans

c. 25%

d. 20%

8. In an examination, A and B secured respectively 6/7 and 5/6 of the full marks. If A secured 10 marks more than B, then the marks obtained by A is

a. 340

b. 350

c. 360 – Ans

d. 370

9. A book-seller buys books at a commission of 20% on the marked price. If he sells the books at the marked price, then his gain percent will be

a. 20%

b. 25% – ans

c. 10%

d. 30%

10. Ten years ago, the age of the father and the son were in the ratio 6 : 1 and 10 years hence the ratio will become 2 : 1. The present age of the father is

a. 35 years

b. 25 years

c. 30 years

d. 40 years – ans

11. If 3 pieces of table cloth cost Rs. 112.50, then number of pieces of table cloth available for Rs.487.50 is

a. 11

b. 13

c. 15

d. 17 – ans

12. Simplified value of

[√(24 x 32 x 49) / √(4 x 3 x 12)] is

a. 7

b. 3 – ans

c. 6

d. 21

13. A man purchased a pen for Rs.320. If he sold it for Rs.360, then his gain percent was

a. 40% – ans

b. 25%

c. 12 1/2%

d. 15%

14. A sum of money is divided into two parts in the ratio 5 : 3. If the smaller sum is Rs.384, then the total sum of money was

a. Rs 1,024 – ans

b. Rs. 640

c. Rs. 820

d. Rs. 764

15. A and B together can do a piece of work in 10 days. If A alone can do it in 15 days, then the time taken by B to do the same work alone is

a. 15 days

b. 20 days

c. 25 days

d. 30 days – ans

16. An express train leaves a station A at 6.45 p.m and reaches a station B 150 km away at 10.30 p.m. Time taken by the train to reach the next station C at a distance of 160 km away from station B with the same speed is

a. 4 hours – ans

b. 3 hours

c. 3 3/4 hours

d. 4 1/2 hours

17. A certain sum lent out at simple interest doubles itself in 20 years. Number of years in which this sum trebles itself at the same rate of interest is

a. 30

b. 40 – ans

c. 25

d. 20

18. A playground is 108 metres long and 80 metres broad. The cost of levelling the ground at Rs.5 per area is

a. Rs.86.40

b. Rs.432 – ans

c. Rs.2,160

d. Rs.1,080

19. The G.C.M and L.C.M of two numbers are 17 and 255 respectively and one of them is 51. The other number must be

a. 68

b. 85 – ans

c. 34

d. 87

20. The least number which when increased by 4, is divisible by each of the numbers 10, 15, 20 and 25, is

a. 296 – ans

b. 300

c. 304

d. 308

21. The least integer that is to be added to (9798 x 9792) to make it a perfect square is

a. 9 – ans

b. 8

c. 7

d. 6

22. A takes 5 hours more time than that taken by B to complete a work. If working together they can complete the work in 6 hours, then the number of hours that A takes to complete the work individually is

a. 15 – ans

b. 12

c. 10

d. 9

23. If each side of a square is increased by 10%, then the increase in the area is

a. 10%

b. 18%

c. 20%

d. 21% – ans

24. In an examination, 52 percent of the candidates fail in English and 42 percent fail in Mathematics. If 17 percent fail in English and Mathematics both, then the percentage of those who passed in both these subject is

a. 69%

b. 10%

c. 17%

d. 23% – ans

25. The simplified value of

[(2 13/16 of 1/3) / (3/5 of 5/18 5 1/6)] 1 15/16 of 1/5 is

a. 5

b. 7

c. 75 – ans

d. 12

26. If 8 men or 12 women can do a piece of work in 10 days, then the number of days required by 4 men and 4 women to finish the work is

a. 8

b. 10

c. 12 – ans

d. 4

27. The least number, that must be added to 2887, in order to make the sum of perfect square, is

a. 29 – ans

b. 78

c. 53

d. 54

28. 90% of A’s income is Rs.342. How much percent is B’s income more than A’s income, if B earns Rs, 456?

a. 5%

b. 10%

c. 20% – ans

d. 25%

29. A trademan sold an article at a loss of 20%. If he had sold the article at Rs.200 more, then he would have gained 5%. The cost price of the article is

a. Rs.600

b. Rs.800 – ans

c. Rs.675

d. Rs.875

30. In a village, 40% of the population is literate. If the total population is 750, then the number of illiterates must be

a. 450 – ans

b. 400

c. 300

d. 350

31. The ratio in which Darjeeling tea @ Rs.32 per kg is mixed with Assam tea @ Rs.25 per kg so as to gain 20% by selling the mixture at Rs.32.40 per kg is

a. 2:5 – ans

b. 5:2

c. 1:5

d. 5:1

32. 4% of the candidates for an examination were absent and 30% of the remaining failed. If 336 candidates passed, then the total number of candidates was

a. 500 – ans

b. 600

c. 450

d. 480

33. The fourth proportional to 12 men, 9 men and Rs.3 is

a. 2.25

b. Rs.2.25 – ans

c. 2 men

d. 6 men

34. The least fraction, that must be added to 1 1/3 1 1/2 1 1/9 to make the result an integer, is

a. 4/5

b. 3/5

c. 2/5

d. 1/5 – ans

35. What percent of √0.0169 is 0.0117?

a. 0.9

b. 0.1

c. 0.09

d. 9 – ans

36. The square of a positive integer added to its fourth part is equal to 147. The number is

a. 16

b. 24

c. 12 – ans

d. 8

37. 819/3159, when reduced to its lowest term, is

a. 7/27 – ans

b. 7/37

c. 23/27

d. 17/37

38. The length of a rectangular plot of land is reduced by 20% but the area is kept the same as before. The breadth is increased by

a. 16 2/3%

b. 18 3/4%

c. 25% – ans

d. 33 1/3%

39. 3 men or 4 women or 5 boys can earn Rs.150 daily. Then 5 men with 8 women and 3 boys will earn per day

a. Rs.620

b. Rs.640 – ans

c. Rs.660

d. Rs.680

40. The rate percent per annum simple interest at which Rs.1200 will amount to Rs.1668 in six years is

a. 12%

b. 9%

c. 6.5% – ans

d. 7.5%

41. Sales-tax is reduced by 10% but sale increases by 10%. The revenue earned as sales-tax

a. Increases by 0.1%

b. Decreases by 0.1%

c. Decreases by 1% – ans

d. Remains unchanged

42. Total number of boys and girls eligible for the book grant is 9. Each boy is given a grant of Rs.25 and each girl is Rs.20. If the total amount given as grant is Rs.200, then the number of girls eligible for grant is

a. 4

b. 5

c. 6

d. 3

43. If the number 24 * 83 is divisible by 11, then * can be replaced by

a. 7 – ans

b. 6

c. 8

d. 4

44. A buys a pen at Rs.15 and sells it to B at a profit of 20%. B sells it at a loss of 10%. The loss to B must be

a. Rs. 1.80 – ans

b. Rs. 1.50

c. Rs. 3.00

d. Rs. 2.50

45. If a train 150 metres long passes a telegraph post in 12 seconds, then the time in which it will pass a bridge 250 metres long is

a. 25 secs

b. 30 secs

c. 35 secs

d. 32 secs – ans

46. A dealer professing to sell at cost price but uses 900 gm weight for a kilogram. His gain percent is

a. 0.9%

b. 9 1/9%

c. 10 2/9%

d. 11 1/9% – ans

47. The smallest perfect square number which is divisible by 12, 15 and 24 is

a. 540

b. 360

c. 720

d. 3,600 – ans

48. The product of two positive integers is 936. Their ratio is 13:18. The greater number must be

a. 42

b. 36 – ans

c. 26

d. 18

49. A man spends in 4 months as much as he earns in 3 months. His annual savings are Rs.1206. His annual income must be

a. Rs.4,428

b. Rs.4,824 – ans

c. Rs.4,284

d. Rs.8,442

50. Rs.740 are divided among A, B and C is such a way that the shares of A and B are in the ratio 3 : 4 and those of B and C are also in the 3 : 4. Then C must get

a. Rs.320 – ans

b. Rs.180

c. Rs.360

d. Rs.240

51. The least number by which 2 x 6 x 7 x 7 should be multiplied so as to make it a perfect square is

a. 2

b. 3 – ans

c. 6

d. 7

52. The L.C.M of 10, 12 and 15 is

a. 60 – ans

b. 75

c. 120

d. 180

53. The highest common factor of 851 and 943 is

a. 24

b. 35

c. 31

d. 23 – ans

54. The L.C.M of two numbers is 840 and their H.C.F is 14. If one of the numbers is 42, then the other number must be

a. 280 – ans

b. 420

c. 140

d. 88

55. The least number, which when divided by 12, 18, 36 and 45 leaves the remainders 8, 14, 32 and 41 respectively is

a. 176 – ans

b. 180

c. 178

d. 186

56. If 2/3rd part of a number is greater by 4 than 3/5th of it, then what is the number?

a. 30

b. 40

c. 60 – ans

d. 20

57. The average of first five multiples of 3 is

a. 27

b. 12

c. 9 – ans

d. 3

58. The amount at compound interest on Rs.300 in 3 years at 10% per annum is given by

a. Rs.399.30 – ans

b. Rs.385.40

c. Rs.400.00

d. Rs.375.00

59. If the amount is 2 1/4 times of the sum after 2 years, then the rate of compound interest must be

a. 60%

b. 40%

c. 64%

d. 50% – ans

60. If the surface of a cube is 216 sq.cm, then its volume must be

a. 108 sq.cm

b. 36 cu.cm

c. 216 sq.cm

d. 216 cu.cm – ans

61. What fraction is 20 paise of Rs. 6.20?

a. 31

b. 1/31 – ans

c. 20

d. 1/32

62. The missing number in the series is 8, 27, 64, 125, 216, 343, ? is

a. 416

b. 625

c. 512 – ans

d. 444

63. If three times of a number is greater than 3/5th of it by 60, then what is the number ?

a. 25 – ans

b. 20

c. 30

d. 60

64. What is the difference between the largest and the smallest of these fractions?

5/8, 21/35, 9/16, 6/7

a. 33/112 – ans

b. 11/17

c. 13/41

d. 9/35

65. √100 + √49 = ?

a. √149

b. √490

c. √10 + √14

d. 17 – ans

66. √(81/0.09) = ?

a. 30 – ans

b. 3

c. 0.3

d. 300

67. The square root of 4.9/12.1 is

a. 2.3/3.5

b. 7/11 – ans

c. 0.32

d. 12/17

68. The cube root of 64 is

a. 8

b. 6

c. 4 – ans

d. 16

69. The third proportion of 10 and 20 is

a. 10

b. 20

c. 0

d. 40 – ans

70. The two numbers whose difference is 36 and the ratio between them is 7 : 16, are

a. 14,32

b. 28,64

c. 64,28 – ans

d. 21,48