Questions on Pipes and Cisterns Practice Test Sample Paper - 1 with Answer Key and Solution [Quantitative Aptitude]- Download in PDF

Here is solved questions of problems on Pipes and Cisterns [quantitative aptitude] for SBI PO and IBPS exams. Pipes and Cisterns related questions are asked in almost all entrance examinations and candidates need to practice this section very hard to score good marks and hence good position in merit list. You can also download this question paper in PDF to save it for future references or take print out.

 

Pipes and Cisterns [Quantitative Aptitude] Model Test Paper - 1

 

Maximum Marks: 10     /      Duration: 10 Mins

Q.1. Two pipes can fill a tank in 45 and 60 minutes respectively, if both pipes are used together, then how long will it take to fill the tank?

A) 36
B) 36 2/5
C) 25
D) 25 3/7
E) None of these

Explanation (Show/Hide)

Time taken by both pipes to fill the tank = 45*60/(45 + 60) = 2700/105 = 180/7 = 25 3/7.

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Q.2. Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in:

A) 1 13/17 hr
B) 2 8/11 hr
C) 3 9/17 hr
D) 4 1/2 hr
E) None of these

Explanation (Show/Hide)

Tank filled in 1 hr = 1/5 + 1/6 - 1/12 = 17/60
Time taken to fill tank = 60/17 = 3 9/17

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Q.3. Pipe A can fill a tank in 5 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will be tank be filled?

A) 2 hours
B) 2.5 hours
C) 3 hours
D) 3.5 hours
E) None of these

Explanation (Show/Hide)

Tank filled in 1 hr by three pipes = 1/5 + 1/10 + 1/30 = 1/3
Time taken to fill tank = 3 hrs.

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Q.4. Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is:

A) 60 gallons
B) 100 gallons
C) 120 gallons
D) 180 gallons
E) None of these

Explanation (Show/Hide)

Let time time taken by waste pipe to empty whole tank = X minutes
All pipes 1 minute work = 1/15 = 1/20 + 1/24 - 1/X
=> 1/X = 1/20 + 1/24 - 1/15 = 1/40
=> X = 40 minutes.
As pipe can empty 3 gallons in one minute, so in 40 minute it can empty 40 * 3 = 120 gallons

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Q.5. A pump can fill a tank with water in 2 hours. Because of a leak, it took 2 1/3 hours to fill the tank. The leak can drain all the water of the tank in:

A) 4 hours
B) 7 hours
C) 8 hours
D) 14 hours
E) None of these

Explanation (Show/Hide)

Let the leak can drain all water in X hours
Water filled in 1 hour = 3/7 = 1/2 - 1/X
1/X = 1/2 - 3/7 = 1/14
=> X = 14 hours.

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Q.6. Two pipes A and B can fill a cistern in 37 1/2 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the B is turned off after:

A) 5 min
B) 9 min
C) 12 min
D) 15 min
E) None of these

Explanation (Show/Hide)

Part filled by A in 1 min = 1/(75/2) = 2/75
Part filled by B in 1 min = 1/45 min
Let B is turned off after X minutes
Part filled by (A + B) in X min + Part filled by A in (30 - X) min = 1
=> X (2/75 + 1/45) + (30 - X) * (2/75) = 1
=> X = 9.

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Q.7. One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in:

A) 81 min
B) 108 min
C) 144 min
D) 192 min
E) None of these

Explanation (Show/Hide)

Let the slower pipe can fill the tank in 3X minutes, the faster pipe will fill the tank in X minutes.
Both pipes will fill the tank in (3X * X)/ (3X + X) = 36
=> X = 48
Slower pipe will fill the tank in 3 * 48 = 144 minutets.

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Q.8. A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?

A) 3 hrs 15 min
B) 3 hrs 45 min
C) 4 hrs
D) 4 hrs 15 min
E) None of these

Explanation (Show/Hide)

Time taken by one tap to fill half the tank = 3 hrs
Part filled by 4 taps in 1 hr = 4 * (1/6) = 2/3
So tank will be filled in 3/2 hrs by 4 pipes
Half tank will be filled in (1/2) * (3/2) = 3/4 hrs
So total time taken = 3 + 3/4 = 3 hrs 45 minutes.

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Q.9. Two pipes A and B can fill a tank in 20 and 30 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?

A) 12 min
B) 15 min
C) 25 min
D) 50 min
E) None of these

Explanation (Show/Hide)

Both pipes will fill the tank in (20*30)/(20+30) = 600/50 = 12 min.

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Q.10. A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?

A) 20 hours
B) 25 hours
C) 35 hours
D) Cannot be determined
E) None of these

Explanation (Show/Hide)

Let time taken by A to fill the tank = X hrs
Time taken by B to fill the tank = X/2
Time taken by C to fill the tank = X/4
Tank filled in 1 hour = 1/X + 2/X + 4/X = 1/5
7/X = 1/5
X = 35.

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