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Quant – Pipes & Cisterns – Set 2
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.
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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.
- Two pipes A and B can fill a cistern in 3 hours and 5 hours respectively. Pipe C can empty it in 2 hours. If all the three pipes are open, in how many hours the cistern will be full ?
- A. can’t be filled
- B. 15 hours
- C. 30 hours
- D. 10 hours
Show answer and explanation
Answer: C. 30 hours
Net = 1/3 + 1/5 - 1/2 = (10 + 6 - 15)/30 = 1/30 an hour, so 30 hours.
- Three pipes A, B and C can fill a tank in 6 hours, 9 hours and 12 hours respectively. B and C are opened for half an hour, then A is also opened. The time taken by the three pipes together to fill the remaining part of the tank is :
- A. 2 hours
- B. 2 1/2 hours
- C. 3 hours
- D. 3 1/2 hours
Show answer and explanation
Answer: B. 2 1/2 hours
B + C fill 1/9 + 1/12 = 7/36 an hour, so in half an hour 7/72. Left = 65/72. All three fill 1/6 + 7/36 = 13/36 an hour. Time = (65/72) × (36/13) = 5/2 = 2 1/2 hours.
- A pipe can fill a cistern in 9 hours. Due to a leak in its bottom, the cistern fills up in 10 hours. If the cistern is full, in how much time will it be emptied by the leak ?
- A. 90 hours
- B. 70 hours
- C. 80 hours
- D. 100 hours
Show answer and explanation
Answer: A. 90 hours
Leak = 1/9 - 1/10 = 1/90 an hour, so the leak empties a full cistern in 90 hours.
- Two pipes A and B can fill a tank in 36 minutes and 45 minutes respectively. Another pipe C can empty the tank in 30 minutes. First A and B are opened. After 7 minutes, C is also opened. The tank is filled up in :
- A. 39 minutes
- B. 40 minutes
- C. 45 minutes
- D. 46 minutes
Show answer and explanation
Answer: D. 46 minutes
Work = 180 units; A, B do 5 and 4 a minute, C removes 6. In 7 minutes A + B do 63. Left 117 at (5 + 4 - 6) = 3 a minute = 39 minutes. Total = 7 + 39 = 46 minutes.
- A cistern is provided with two pipes A and B. A can fill it in 20 minutes and B can empty it in 30 minutes. If A and B are kept open alternatively for one minute each, how soon will the cistern be filled. ?
- A. 115 minutes
- B. 110 minutes
- C. 121 minutes
- D. 120 minutes
Show answer and explanation
Answer: A. 115 minutes
Take the cistern as 60 units; A adds 3 and B removes 2 a minute. Each 2-minute cycle gains 1 unit. After 57 cycles (114 minutes) it holds 57, and in the next minute A adds 3 to reach 60. Time = 115 minutes.
- Two pipes A and B can fill a tank with water in 30 minutes and 45 minutes respectively. The third pipe C can empty the tank in 36 minutes. First A and B are opened. After 12 minutes C is opened. Total time (in minutes) in which the tank will be filled up is:
- A. 12
- B. 24
- C. 36
- D. 30
Show answer and explanation
Answer: B. 24
Work = 180 units; A, B do 6 and 4 a minute, C removes 5. In 12 minutes A + B do 120. Left 60 at (6 + 4 - 5) = 5 a minute = 12 minutes. Total = 24 minutes.
- Pipe A can fill a tank in 4 hours and pipe B can fill it in 6 hours. If they are opened on alternate hours and if pipe A is opened first then in how many hours, the tank shall be full?
- A. 3 1/4
- B. 3 1/2
- C. 4 1/2
- D. 4 2/3
Show answer and explanation
Answer: D. 4 2/3
Work = 12 units; A does 3 and B does 2 an hour. After 4 hours (A, B, A, B) 10 units are done. Left 2 units; A does 3 an hour, so it needs 2/3 hour. Total = 4 2/3 hours.
- A pipe can fill a tank in 24 hours. Due to a leakage in the bottom, it is filled in 36 hours. If the tank is half full, how much time will they take to empty the tank?
- A. 72 hrs
- B. 24 hrs
- C. 36 hrs
- D. 48 hrs
Show answer and explanation
Answer: C. 36 hrs
Leak = 1/24 - 1/36 = 1/72 an hour, so a full tank empties in 72 hours and a half-full tank in 36 hours.
- A water reservoir has two inlets and one outlet. Through the inlet it can be filled in 3 hours and 3 hours 45 minutes respectively. It can be emptied completely in 1 hour by the outlet. If the two inlets are opened at 01:00pm and 02:00pm respectively and the outlet at 03:00pm then it will be emptied at :
- A. 05:30 pm
- B. 05:20 pm
- C. 05:00 pm
- D. 05:55 pm
Show answer and explanation
Answer: B. 05:20 pm
By 3 pm: inlet 1 ran 2 hours (2/3) and inlet 2 ran 1 hour (4/15), so 14/15 is filled. After the outlet opens, net = 1/3 + 4/15 - 1 = -2/5 an hour. Time to empty = (14/15) ÷ (2/5) = 7/3 hours = 2 h 20 min, so 5:20 pm.
- Pipe A can fill a tank in 9 hours and pipe B in 72 hours. If both are opened together, in how many hours will the empty tank be filled?
- A. 10 hours
- B. 5 hours
- C. 9 hours
- D. 8 hours
Show answer and explanation
Answer: D. 8 hours
Part filled in 1 hour = 1/9 + 1/72 = 1/8. Time = 8 hours.