Time & Work / Pipes & Cisterns

J&K Bank Banking Associate · Quantitative Aptitude · 115 practice questions with answers and explanations: 44 Easy, 70 Medium, 1 Hard.

Sample questions

Sample Easy question 1

10 men can finish a job in 15 days. How many men are needed to finish it in 25 days?

  1. 8
  2. 7
  3. 6
  4. 5
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Answer: C. Total man-days = 10×15 = 150. For 25 days: men needed = 150/25 = 6.

Sample Easy question 2

A pipe can fill a tank in 6 hours. What fraction of the tank is filled in 2 hours?

  1. 2/3
  2. 1/4
  3. 1/3
  4. 1/2
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Answer: C. Rate = 1/6 per hour. In 2 hours: 2 × 1/6 = 1/3 of the tank.

Sample Easy question 3

If 8 workers can complete a wall in 12 days, how many days will 12 workers take?

  1. 7 days
  2. 6 days
  3. 9 days
  4. 8 days
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Answer: D. Total man-days = 8×12 = 96. For 12 workers: 96/12 = 8 days.

Sample Medium question 4

A and B together can finish a work in 8 days. A alone can finish it in 10 days. In how many days can B alone finish it?

  1. 30
  2. 40
  3. 18
  4. 16
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Answer: B. 1/B = 1/8 − 1/10 = 1/40, so B alone takes 40 days.

Sample Medium question 5

A is 2 times as efficient as B. Together they finish a job in 18 days. How many days will A alone take?

  1. 36
  2. 29
  3. 54
  4. 27
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Answer: D. A's rate : B's rate = 2 : 1, so together they do 3 units a day. Total work = 3×18; A alone = 54/2 = 27 days.

Sample Medium question 6

A and B can complete a work in 10 and 15 days respectively. They start together, but A leaves after 2 days. In how many more days does B finish the remaining work?

  1. 10
  2. 11
  3. 9
  4. 4
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Answer: A. Together they do 2/6 of the work in 2 day(s); 2/3 remains, and B alone needs (4/6) × 15 = 10 days.

Sample Hard question 7

Together, A and B take 18 days to finish a job; A does half as much work as B in three-fourths of B's time. Find B's time alone.

  1. 25
  2. 30
  3. 28
  4. 32
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Answer: B. Working through the ratio gives A's rate as 2/(3x) where x is B's time; solving the combined rate equation gives x = 30 days.

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