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Quant – Pipes & Cisterns – Set 3
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.
- A pipe can fill a tank in 12 hours and another pipe can empty it in 15 hours. If both are opened together on the empty tank, in how many hours will it be full?
- A. 66 hours
- B. 56 hours
- C. 64 hours
- D. 60 hours
Show answer and explanation
Answer: D. 60 hours
Net part filled in 1 hour = 1/12 - 1/15 = 1/60. Time = 60 hours.
- Pipes A and B can fill a tank in 15 and 30 hours, and pipe C can empty it in 30 hours. If all three are opened together, in how many hours will the empty tank be filled?
- A. 17 hours
- B. 15 hours
- C. 21 hours
- D. 9 hours
Show answer and explanation
Answer: B. 15 hours
Net part in 1 hour = 1/15 + 1/30 - 1/30 = 1/15. Time = 15 hours.
- Two pipes fill a tank at 20 litres per minute and 30 litres per minute. Together they fill the tank in 10 minutes. What is the capacity of the tank?
- A. 600 litres
- B. 500 litres
- C. 350 litres
- D. 450 litres
Show answer and explanation
Answer: B. 500 litres
Capacity = (rate of A + rate of B) × time = (20 + 30) × 10 = 500 litres.
- Pipes A and B can fill a tank in 10 and 15 hours. If both are opened together, what part of the tank is filled in 2 hours?
- A. 1/30
- B. 19/30
- C. 2/15
- D. 1/3
Show answer and explanation
Answer: D. 1/3
In 1 hour they fill 1/10 + 1/15 = 1/6. In 2 hours = 1/3 of the tank.
- A tank can be filled by one pipe in 18 hours. A second pipe is added, and the two together fill it in 12 hours. In how many hours can the second pipe alone fill the tank?
- A. 42 hours
- B. 30 hours
- C. 36 hours
- D. 32 hours
Show answer and explanation
Answer: C. 36 hours
Second pipe's rate = 1/12 - 1/18 = 1/36. It takes 36 hours alone.
- Pipe A can fill a tank in 21 hours and pipe B in 42 hours. If both are opened together, in how many hours will the empty tank be filled?
- A. 15 hours
- B. 16 hours
- C. 14 hours
- D. 13 hours
Show answer and explanation
Answer: C. 14 hours
Part filled in 1 hour = 1/21 + 1/42 = 1/14. Time = 14 hours.
- A pipe fills a tank in 6 hours. Because of a leak it takes 9 hours. In how many hours will the leak alone empty the full tank?
- A. 24 hours
- B. 18 hours
- C. 9 hours
- D. 27 hours
Show answer and explanation
Answer: B. 18 hours
Leak's rate = 1/6 - 1/9 = 1/18 per hour, so it empties the tank in 18 hours.
- Pipes A and B can fill a tank in 12 and 20 hours, and pipe C can empty it in 30 hours. If all three are opened together, in how many hours will the empty tank be filled?
- A. 14 hours
- B. 6 hours
- C. 5 hours
- D. 10 hours
Show answer and explanation
Answer: D. 10 hours
Net part in 1 hour = 1/12 + 1/20 - 1/30 = 1/10. Time = 10 hours.
- Pipes A and B can fill a tank in 8 and 24 hours. Both are opened together, and after 3 hours pipe A is closed. How many hours in all will the tank take to fill?
- A. 11 hours
- B. 15 hours
- C. 19 hours
- D. 9 hours
Show answer and explanation
Answer: B. 15 hours
Part filled in 3 hours = 1/2. Remaining 1/2 is filled by B in 12 hours. Total = 3 + 12 = 15 hours.
- Two pipes fill a tank at 24 litres per minute and 36 litres per minute. Together they fill the tank in 40 minutes. What is the capacity of the tank?
- A. 3120 litres
- B. 2640 litres
- C. 2400 litres
- D. 1680 litres
Show answer and explanation
Answer: C. 2400 litres
Capacity = (rate of A + rate of B) × time = (24 + 36) × 40 = 2400 litres.