Time & Work / Pipes & Cisterns

JKSSB Assistant Training Officer (Handicrafts & Handlooms) · Numerical Ability · 53 practice questions with answers and explanations: 14 Easy, 38 Medium, 1 Hard.

Sample questions

Sample Easy question 1

A can complete a task in 10 days. If B is twice as efficient as A, how many days will B take alone?

  1. 8 days
  2. 4 days
  3. 6 days
  4. 5 days
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Answer: D. Twice as efficient means half the time: 10/2 = 5 days.

Sample Easy question 2

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 3

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 Medium question 4

Pipe A fills a tank in 6 hours, pipe B empties it in 12 hours. If both are opened together, how long will it take to fill the tank?

  1. 14 hrs
  2. 11 hrs
  3. 12 hrs
  4. 10 hrs
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Answer: C. Net rate = 1/6 - 1/12 = 1/12, so the tank fills in 12 hours.

Sample Medium question 5

A and B together finish a work in 12 days. A alone can finish it in 20 days. In how many days can B alone finish it?

  1. 30
  2. 32
  3. 28
  4. 25
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Answer: A. 1/B = 1/12 - 1/20 = (5-3)/60 = 1/30, so B alone takes 30 days.

Sample Medium question 6

A pipe fills a tank in 6 hours, but due to a leak it takes 8 hours. In how many hours can the leak alone empty a full tank?

  1. 26
  2. 20
  3. 22
  4. 24
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Answer: D. Leak's rate = 1/6 - 1/8 = 1/24, so it empties the tank in 24 hours.

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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