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SSC CGL Exam  >  SSC CGL Test  >  Quantitative Aptitude  >  MCQ: Pipes and Cisterns - 1 - SSC CGL MCQ

Pipes and Cisterns - 1 - Free MCQ Practice Test with solutions, SSC CGL


MCQ Practice Test & Solutions: MCQ: Pipes and Cisterns - 1 (15 Questions)

You can prepare effectively for SSC CGL Quantitative Aptitude for SSC CGL with this dedicated MCQ Practice Test (available with solutions) on the important topic of "MCQ: Pipes and Cisterns - 1". These 15 questions have been designed by the experts with the latest curriculum of SSC CGL 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 15 minutes
  • - Number of Questions: 15

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MCQ: Pipes and Cisterns - 1 - Question 1
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A pipe can fill a tank in x hours and another can empty it in y hours. They can together fill it in (y > x)

Detailed Solution: Question 1

When both pipes are opened simultaneously, part of the tank filled in 1 hour

MCQ: Pipes and Cisterns - 1 - Question 2
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Two pipes can fill a cistern separately in 10 hours and 15 hours. They can together fill the cistern in

Detailed Solution: Question 2

Using Rule 1,
Part of the cistern filled by both pipes in 1 hour

The cistern will be filled in 6 hours.

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MCQ: Pipes and Cisterns - 1 - Question 3
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Two pipes can fill a tank in 15 hours and 20 hours respectively, while the third can empty it in 30 hours. If all the pipes are opened simultaneously, the empty tank will be filled in

Detailed Solution: Question 3

Using Rule 2,
Part of tank filled in 1 hour when all three pipes are opened simultaneously

Hence, the tank will be filled in 12 hours.

MCQ: Pipes and Cisterns - 1 - Question 4
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Two pipes A and B can separately fill a cistern in 60 minutes and 75 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 minutes. In how much time the third pipe alone can empty the cistern?

Detailed Solution: Question 4

Let the third pipe empty the cistern in x minutes.
Part of cistern filled in 1 minute when all three pipes are opened simultaneously

According to the question,

MCQ: Pipes and Cisterns - 1 - Question 5
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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 be kept open alternately for one minute each, how soon will the cistern be filled ?

Detailed Solution: Question 5

Pipe A fills 1/20 of the tank per minute.

Pipe B empties 1/30 of the tank per minute.

They are opened alternately for 1 minute each, starting with A.

1. Net effect of a 2-minute cycle (A then B)

  • In A’s minute: +1/20

  • In B’s minute: −1/30

  • Net per 2 minutes = 1/20 − 1/30 = (3 − 2)/60 = 1/60 of the tank.

2. After n full cycles (i.e., after 2n minutes)

  • Filled fraction = n/60.

3. Find how many full cycles get us close to full

  • We need n/60 < 1 but as large as possible.

  • Take n = 57 ⇒ after 2n = 114 minutes, filled = 57/60.

  • Remaining = 1 − 57/60 = 3/60 = 1/20.

4. Finish with the next (A) minute

  • The next minute is A (since we ended a full A–B cycle).

  • A fills 1/20 in 1 minute, exactly what’s left.

  • Total time = 114 + 1 = 115 minutes.

MCQ: Pipes and Cisterns - 1 - Question 6
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Three pipes P, Q and R can separately fill a cistern in 4,8 and 12 hours respectively. Another pipe S can empty the completely filled cistern in10 hours. Which of the following arrangements will fill the empty cistern in less time than others ?

Detailed Solution: Question 6

Using Rule 2 and 7,
Part of the cistern filled in 1 hour
when pipes P and S are open

Hence, the cistern will be filled in 20/3 hours ≈ 6.6 hours
Part of the cistern filled in 1 hour
when pipes P, R and S are open

Hence, the cistern will be filled in 30/7 hours ≈ 4.3 hours
Part of the cistern filled in I hour
when pipes P, Q and S are open

Hence, the cistern will be filled in 40/11 hours ≈ 3.6 hours
Cistern can be filled faster when P, Q & S are open

MCQ: Pipes and Cisterns - 1 - Question 7
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Three taps A,B and C together can fill an empty cistern in 10 minutes. The tap A alone can fill it in 30 minutes and the tap B alone in 40 minutes. How long will the tap C alone take to fill it ?

Detailed Solution: Question 7

Using Rule 1 and 7,
Part of the cistern filled by taps
A, B and C in 1 minute = 1/10
Part of the cistern filled by taps
A and B in 1 minute

Part of the cistern filled by tap C in 1 minute

Tap C will fill the cistern in 24 minutes.

MCQ: Pipes and Cisterns - 1 - Question 8
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Two pipes, P and Q, together can fill a cistern in 20 minutes and P alone can in 30 minutes. Then Q alone can fill the cistern in

Detailed Solution: Question 8

Using Rule 7,
Part of the cistern filled by pipe Q in 1 minute

Required time = 60 minutes

MCQ: Pipes and Cisterns - 1 - Question 9
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12 pumps working 6 hours a day can empty a completely filled reservoir in 15 days. How many such pumps working 9 hours a day will empty the same reservoir in 12 days ?

Detailed Solution: Question 9


Let x be number of pumps
9 : 6 : : 12 : x = 12 : 15 : : 12 : x
9 × 12 × x = 6 × 12 × 15

MCQ: Pipes and Cisterns - 1 - Question 10
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A tap can fill a cistern in 8 hours and another tap can empty it in 16 hours. If both the taps are open, the time (in hours) taken to fill the tank will be :

Detailed Solution: Question 10

Part of the cistern filled in 1 hour = 1/8
Part of the cistern emptied in 1 hour = 1/16
When both the taps are opened simultaneously, part of cistern filled in 1 hour

Hence, the cistern will be filled in 16 hours.
Using Rule 7,
Here, x = 8, y = 16
Required time 

MCQ: Pipes and Cisterns - 1 - Question 11
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If two pipes function simultaneously, a tank is filled in 12 hours. One pipe fills the tank 10 hours faster than the other. How many hours does the faster pipe alone take to fill the tank?

Detailed Solution: Question 11

Using Rule 1,

If the slower pipe fills the tank in x hours, then

Required time = 30 - 10 = 20 hours

MCQ: Pipes and Cisterns - 1 - Question 12
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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

Detailed Solution: Question 12

Part of the tank filled by pipes A and B in 1 minute

Part of the tank filled by these pipes in 7 minutes
= 7/20
Remaining unfilled part

When all three pipes are opened.

Time taken in filling 13/20 part

Required time = 39 + 7 = 46 minutes

MCQ: Pipes and Cisterns - 1 - Question 13
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Two pipes can fill a cistern in 3 hours and 4 hours respectively and a waste pipe can empty it in 2 hours. If all the three pipes are kept open, then the cistern will be filled in :

Detailed Solution: Question 13

Using Rule 2,

Part of the cistern filled in 1 hour

[Cistern filled by 1st pipe + Cistern filled by 2nd pipe - Cistern emptied by 3rd pipe]

Hence, the cistern will be filled in 12 hours.

MCQ: Pipes and Cisterns - 1 - Question 14
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Three taps A, B, C can fill an overhead tank in 4, 6 and 12 hours respectively. How long would the three taps take to fill the tank if all of them are opened together ?

Detailed Solution: Question 14

Using Rule 2,

Part of the tank filled by all three taps in an hour

Hence, the tank will be filled in 2 hours.

MCQ: Pipes and Cisterns - 1 - Question 15
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Pipe A can fill an empty tank in 6 hours and pipe B in 8 hours. If both the pipes are opened and after 2 hours pipe. A is closed, how much time B will take to fill the remaining tank?

Detailed Solution: Question 15

Using Rule 1,
Part of tank filled by pipes A and B in 2 hours

Remaining part = 
This part is filled by pipe B.

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About this SSC CGL Practice Test

This test contains 15 MCQs on MCQ: Pipes and Cisterns - 1 with detailed solutions for each question. It is part of the Quantitative Aptitude for SSC CGL course on EduRev, designed to align with the current SSC CGL syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

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