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Quant – Pipes & Cisterns – Set 4
Read the following instructions carefully
- The test contains 10 questions.
- Each question has 4 options, of which only one is correct.
- You have to finish the test in 8 minutes.
- You are awarded 1 mark for each correct answer, and 0.25 marks are deducted for each wrong answer.
- There is no negative marking for questions you do not attempt.
- You may pause the test at any time and resume where you left off.
- Your marks, the correct answers and an explanation for every question are shown as soon as you submit.
- You can take this test as many times as you like. A fresh set is drawn each time you reload the page.
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Review this set's questions and answers (opens after you submit the test)
This free practice set from AndamanJobs has 10 questions to be solved in 8 minutes. Every question is listed below with four options. Open Show answer and explanation under a question to see the correct option and why it is correct. Try the timed test above first, then use this list to revise the questions you got wrong.
- Pipes A and B can fill a tank in 9 and 18 hours. If both are opened together, what part of the tank is filled in 5 hours?
- A. 17/18
- B. 11/18
- C. 5/6
- D. 13/18
Show answer and explanation
Answer: C. 5/6
In 1 hour they fill 1/9 + 1/18 = 1/6. In 5 hours = 5/6 of the tank.
- Pipe A can fill a tank in 4 hours and pipe B can empty it in 8 hours. They are opened alternately for one hour each, starting with A. In how many hours will the empty tank be full?
- A. 19 hours
- B. 9 hours
- C. 13 hours
- D. 17 hours
Show answer and explanation
Answer: C. 13 hours
Each 2-hour cycle (A then B) adds 1/4 - 1/8 = 1/8. After 6 cycles (12 hours) the tank is 3/4 full. A then fills the remaining 1/4 in 1 hour(s). Total = 13 hours.
- A tank can be filled by one pipe in 15 hours. A second pipe is added, and the two together fill it in 10 hours. In how many hours can the second pipe alone fill the tank?
- A. 26 hours
- B. 28 hours
- C. 30 hours
- D. 24 hours
Show answer and explanation
Answer: C. 30 hours
Second pipe's rate = 1/10 - 1/15 = 1/30. It takes 30 hours alone.
- Pipe A can fill a tank in 24 hours and pipe B in 72 hours. If both are opened together, in how many hours will the empty tank be filled?
- A. 17 hours
- B. 20 hours
- C. 21 hours
- D. 18 hours
Show answer and explanation
Answer: D. 18 hours
Part filled in 1 hour = 1/24 + 1/72 = 1/18. Time = 18 hours.
- A pipe fills a tank in 4 hours. Because of a leak it takes 8 hours. In how many hours will the leak alone empty the full tank?
- A. 11 hours
- B. 2 hours
- C. 8 hours
- D. 5 hours
Show answer and explanation
Answer: C. 8 hours
Leak's rate = 1/4 - 1/8 = 1/8 per hour, so it empties the tank in 8 hours.
- Pipes A and B can fill a tank in 12 and 24 hours, and pipe C can empty it in 24 hours. If all three are opened together, in how many hours will the empty tank be filled?
- A. 12 hours
- B. 6 hours
- C. 16 hours
- D. 14 hours
Show answer and explanation
Answer: A. 12 hours
Net part in 1 hour = 1/12 + 1/24 - 1/24 = 1/12. Time = 12 hours.
- Pipes A and B can fill a tank in 24 and 48 hours. Both are opened together, and after 2 hours pipe A is closed. How many hours in all will the tank take to fill?
- A. 50 hours
- B. 40 hours
- C. 42 hours
- D. 44 hours
Show answer and explanation
Answer: D. 44 hours
Part filled in 2 hours = 1/8. Remaining 7/8 is filled by B in 42 hours. Total = 2 + 42 = 44 hours.
- Two pipes fill a tank at 30 litres per minute and 50 litres per minute. Together they fill the tank in 6 minutes. What is the capacity of the tank?
- A. 480 litres
- B. 384 litres
- C. 528 litres
- D. 624 litres
Show answer and explanation
Answer: A. 480 litres
Capacity = (rate of A + rate of B) × time = (30 + 50) × 6 = 480 litres.
- A tank can be filled by one pipe in 24 hours. A second pipe is added, and the two together fill it in 16 hours. In how many hours can the second pipe alone fill the tank?
- A. 50 hours
- B. 44 hours
- C. 52 hours
- D. 48 hours
Show answer and explanation
Answer: D. 48 hours
Second pipe's rate = 1/16 - 1/24 = 1/48. It takes 48 hours alone.
- Pipe A can fill a tank in 33 hours and pipe B in 66 hours. If both are opened together, in how many hours will the empty tank be filled?
- A. 22 hours
- B. 19 hours
- C. 23 hours
- D. 25 hours
Show answer and explanation
Answer: A. 22 hours
Part filled in 1 hour = 1/33 + 1/66 = 1/22. Time = 22 hours.