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Quant – Pipes & Cisterns – Set 7
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.
- Pipe A can fill a tank in 6 hours and pipe B can empty it in 12 hours. They are opened alternately for one hour each, starting with A. In how many hours will the empty tank be full?
- A. 25 hours
- B. 21 hours
- C. 17 hours
- D. 19 hours
Show answer and explanation
Answer: B. 21 hours
Each 2-hour cycle (A then B) adds 1/6 - 1/12 = 1/12. After 10 cycles (20 hours) the tank is 5/6 full. A then fills the remaining 1/6 in 1 hour(s). Total = 21 hours.
- A tank can be filled by one pipe in 20 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. 24 hours
- B. 28 hours
- C. 30 hours
- D. 34 hours
Show answer and explanation
Answer: C. 30 hours
Second pipe's rate = 1/12 - 1/20 = 1/30. It takes 30 hours alone.
- Pipe A can fill a tank in 40 hours and pipe B in 60 hours. If both are opened together, in how many hours will the empty tank be filled?
- A. 21 hours
- B. 24 hours
- C. 25 hours
- D. 23 hours
Show answer and explanation
Answer: B. 24 hours
Part filled in 1 hour = 1/40 + 1/60 = 1/24. Time = 24 hours.
- Pipes A and B can fill a tank in 24 and 48 hours. Both are opened together, and after 6 hours pipe A is closed. How many hours in all will the tank take to fill?
- A. 42 hours
- B. 36 hours
- C. 40 hours
- D. 34 hours
Show answer and explanation
Answer: B. 36 hours
Part filled in 6 hours = 3/8. Remaining 5/8 is filled by B in 30 hours. Total = 6 + 30 = 36 hours.
- Two pipes fill a tank at 10 litres per minute and 20 litres per minute. Together they fill the tank in 15 minutes. What is the capacity of the tank?
- A. 315 litres
- B. 360 litres
- C. 450 litres
- D. 405 litres
Show answer and explanation
Answer: C. 450 litres
Capacity = (rate of A + rate of B) × time = (10 + 20) × 15 = 450 litres.
- Pipes A and B can fill a tank in 12 and 18 hours. If both are opened together, what part of the tank is filled in 1 hour?
- A. 7/18
- B. 5/36
- C. 2/9
- D. 1/18
Show answer and explanation
Answer: B. 5/36
In 1 hour they fill 1/12 + 1/18 = 5/36. In 1 hour = 5/36 of the tank.
- Pipe A can fill a tank in 4 hours and pipe B can empty it in 10 hours. They are opened alternately for one hour each, starting with A. In how many hours will the empty tank be full?
- A. 15 hours
- B. 13 hours
- C. 11 hours
- D. 5 hours
Show answer and explanation
Answer: C. 11 hours
Each 2-hour cycle (A then B) adds 1/4 - 1/10 = 3/20. After 5 cycles (10 hours) the tank is 3/4 full. A then fills the remaining 1/4 in 1 hour(s). Total = 11 hours.
- Pipe A can fill a tank in 14 hours and pipe B in 35 hours. If both are opened together, in how many hours will the empty tank be filled?
- A. 10 hours
- B. 7 hours
- C. 11 hours
- D. 13 hours
Show answer and explanation
Answer: A. 10 hours
Part filled in 1 hour = 1/14 + 1/35 = 1/10. Time = 10 hours.
- Pipes A and B can fill a tank in 20 and 30 hours. Both are opened together, and after 5 hours pipe A is closed. How many hours in all will the tank take to fill?
- A. 28 1/2 hours
- B. 20 1/2 hours
- C. 22 1/2 hours
- D. 16 1/2 hours
Show answer and explanation
Answer: C. 22 1/2 hours
Part filled in 5 hours = 5/12. Remaining 7/12 is filled by B in 17 1/2 hours. Total = 5 + 17 1/2 = 22 1/2 hours.
- Two pipes fill a tank at 25 litres per minute and 35 litres per minute. Together they fill the tank in 40 minutes. What is the capacity of the tank?
- A. 2640 litres
- B. 2160 litres
- C. 3120 litres
- D. 2400 litres
Show answer and explanation
Answer: D. 2400 litres
Capacity = (rate of A + rate of B) × time = (25 + 35) × 40 = 2400 litres.