# IBPS Clerks Prelims Numerical Ability Practice Test-2

**31. 12 men and 16 boys together can do a work in 40 days while 18 men and 8 boys together can do the same work in 30 days. Find the time taken by 3 men and 40 boys together to do the same work. **

a) 72 days

b) 70 days

c) 60 days

d) 64 days

e) 56 days

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**Answer: d**

**32. A bag contains 10 red and 5 black balls. Two balls are chosen from the bag randomly. Find the probability that both balls are different in colours. **

a) 5/13

b) 11/21

c) 9/21

d) 11/23

e) 10/21

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**Answer: e**

**33. Ratio of number of boys to number of girls present in a class is 4:5. If 15 boys and 10 girls are absent and ratio of total number of boys and girls in the class is 11:12, respectively then find the number of boys present in the class. **

a) 48

b) 50

c) 30

d) 40

e) 36

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**Answer: d**

**34. Pritam and Suraj invested Rs. 1800 and Rs. 3000, respetively in a business. After 6 months, Pritam added Rs. 200 and after 2 more months, Suraj added Rs. 500. Find the ratio of profit share of both after 12 months. **

a) 6:7

b) 2:3

c) 3:5

d) 1:4

e) 2:5

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**Answer: c**

**35. Speed of a boat in still water is 60% more than speed of stream. If total time taken by boat to cover 78 km downstream and 54 km upstream is 12 hours then find the speed of boat in still water. **

a) 8 km/h

b) 32 km/h

c) 18 km/h

d) 16 km/h

e) 24 km/h

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**Answer: d**

**Directions (36-40):**What value should come in the place of question mark (?) in the following series?

**36. 74, 83, 79, 88, 84, ?**

a) 89

b) 93

c) 90

d) 92

e) 91

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**Answer: b**

**37. 2, 18, 95, 384, 1155, ?**

a) 2512

b) 2612

c) 2712

d) 2312

e) 2412

- View Answer
**Answer: d**

**38. 10, 17, 27, ?, 64, 95**

a) 32

b) 52

c) 42

d) 47

e) 35

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**Answer: c**

**39. 2, 7, 20, ?, 110, 235**

a) 51

b) 53

c) 46

d) 49

e) 55

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**Answer: d**

**40. 8, 9, 27, 61, 110, ?**

a) 189

b) 133

c) 173

d) 198

e) 143

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**Answer: c**

**41. A container contains 80 litres of milk in it. 24 litres of milk is replaced by water. Again 24 litres of mixture is taken out and same quantity of water is added into the remaining mixture. The percentage of water in the resultant mixture will be: **

a) 51%

b) 40.8%

c) 59.2%

d) 53%

e) None of these

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**Answer: a**

**42. The average of 6 consecutive numbers is 36.5 find the smallest number? **

a) 34

b) 32

c) 32.5

d) 30

e) None of these

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**Answer: a**

**43. A bag contains ‘x’ green and ‘x + 4’ red balls. If the probability of drawing a red and a green ball together is 0.5, then probability of drawing a red ball. **

a) 5/8

b) 3/8

c) 1/6

d) 3/4

e) None of these

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**Answer: a**

**44. Ratio of number of males to females in villages ‘A’ and ‘B’ is 9:7 and 9:5 respectively. If number of females in village ‘A’ is 20% more than that in village ‘B’, then find number of males in village ‘B’ given that number of males in village ‘A’ is 648.**

a) 720

b) 792

c) 756

d) 648

e) None of these

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**Answer: c**

**45. When 14.28 % of a number, is subtracted itself then the number becomes 480. Find the original number. **

a) 580

b) 560

c) 960

d) 490

e) 550

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**Answer: b**

**Directions (46-50):**Given bar graph shows the details of number of students in a particular class of 3 different schools in 5 different years.

**46. What is the difference between average number of students of school A across all the years and the average number of students of school B across all the years?**

a) 18

b) 10

c) 12

d) 14

e) 16

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**Answer: a**

**47. Find the respective ratio of the total number of students of school A in 2011 and 2012 together to the total number of students of school C in 2013 and 2014 together?**

a) 61:65

b) 62:66

c) 51:60

d) 55:61

e) 31:37

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**Answer: a**

**48. If in 2016, the total number of students in School A, School B and School C increases by 10%,15% and 20% respectively as compared to 2014, then find the total number of students in 2016 in all the schools together?**

a) 1199

b)1099

c) 999

d)1100

e) 800

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**Answer: b**

**49. Total students of all the school together in 2013 is approximately what percentage more/less than the total students of school B in 2011 and 2015 together?**

a) 52%

b) 59%

c) 56%

d) 63%

e) 48%

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**Answer: a**

**50. Find the difference between the number of total students from all the schools in 2011 and 2013 together and the total number of students from all the schools in 2014 and 2015 together?**

a) 140

b) 60

c) 120

d) 80

e) 100

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**Answer: d**

**Directions (51-55):**In the question, two equation I and II are given. You have to solve both the equations to establish the correct relation between x and y and choose the correct option.

**51. I. x ^{2} – 26x + 168 = 0
II. y^{2} – 30y + 209 = 0**

a) x> y

b) x< y

c) x = y or the relationship cannot be established

d) x ≥ y

e) x ≤ y

- View Answer
**Answer: c**

**52. I. x ^{2} – 8x – 128 = 0
II. y^{2} + y – 90 = 0**

a) x> y

b) x< y

c) x = y or the relationship cannot be established

d) x ≥ y

e) x ≤ y

- View Answer
**Answer: c**

**53. I. x ^{2} – 19x + 88 = 0
II. y^{2} – 27y + 182 = 0**

a) x > y

b) x < y

c) x = y or the relationship cannot be established

d) x ≥ y

e) x ≤ y

- View Answer
**Answer: b**

**54. I. x ^{2} – 3x – 40 = 0
II. y^{2} – 17y + 72 = 0**

a) x> y

b) x< y c) x = y or the relationship cannot be established

d) x ≥ y

e) x ≤ y

- View Answer
**Answer: e**

**55. I. 3x ^{2} – 17x + 20 = 0
II. 6y^{2} – 31y + 28 = 0**

a) x> y

b) x< y

c) x ≥ y

d) x ≤ y

e) x = y or no relation can be established

- View Answer
**Answer: e**

**Directions (56-65):**What will come in the place of question mark (?) in the given expression?

**56. 32% of 300 + 60% of 250 = ? ^{3} + 30**

a) 7

b) 6

c) 4

d) 8

e) 9

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**Answer: b**

**57. (26 × 26 – 16 × 16) = ? – 140**

a) 560

b) 480

c) 600

d) 420

e) None of these

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**Answer: a**

**58. 1620 + 1050 – 970 = ? + 1130**

a) 750

b) 410

c) 620

d) 570

e) 500

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**Answer: d**

**59. ? ÷ 1650 = 16 ÷ 33 × 4.5**

a) 2050

b) 4800

c) 3600

d) 4200

e) 1500

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**Answer: c**

**60. 14.5 × 20 + 18 × 25 = ? ^{2} -44**

a) 20

b) 40

c) 32

d) 27

e) None of these

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**Answer: e**

**61. 6/11 of 132 + **Ö?** = 144 – 60**

a) 196

b) 100

c) 169

d) 144

e) 225

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**Answer: d**

**62. ? = 6/5 of 8/7 of 420**

a) 566

b) 576

c) 536

d) 520

e) None of these

- View Answer
**Answer: b**

**63. (3 × 3) ^{3} × (135 ÷ 5)^{4} = (3)^{? + 4}**

a) 16

b) 14

c) 12

d) 10

e) None of these

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**Answer: b**

**64. 30% of 50% of 1200 = 18/11 × ?**

a) 90

b) 100

c) 120

d) 110

e) None of these

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**Answer: d**

**65. ?% of 192 = 24 ^{2} – 48 × 11**

a) 15

b) 25

c) 30

d) 20

e) None of these

- View Answer
**Answer: b**

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IBPS Clerks Prelims Numerical Ability Practice Test-1

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