MCQ: Pipes and Cisterns - 1 - SSC CGL MCQ

# MCQ: Pipes and Cisterns - 1 - SSC CGL MCQ

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## 15 Questions MCQ Test Quantitative Aptitude for SSC CGL - MCQ: Pipes and Cisterns - 1

MCQ: Pipes and Cisterns - 1 for SSC CGL 2024 is part of Quantitative Aptitude for SSC CGL preparation. The MCQ: Pipes and Cisterns - 1 questions and answers have been prepared according to the SSC CGL exam syllabus.The MCQ: Pipes and Cisterns - 1 MCQs are made for SSC CGL 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for MCQ: Pipes and Cisterns - 1 below.
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MCQ: Pipes and Cisterns - 1 - Question 1

### 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 for MCQ: Pipes and Cisterns - 1 - Question 1

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

MCQ: Pipes and Cisterns - 1 - Question 2

### Two pipes can fill a cistern separately in 10 hours and 15 hours. They can together fill the cistern in

Detailed Solution for MCQ: Pipes and Cisterns - 1 - 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

### 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 for MCQ: Pipes and Cisterns - 1 - 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

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 for MCQ: Pipes and Cisterns - 1 - 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

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 for MCQ: Pipes and Cisterns - 1 - Question 5

Using Rule 7,

Part of the tank filled in first two minutes

Part of tank filled in 114 minutes
= 57/60 = 19/20

MCQ: Pipes and Cisterns - 1 - Question 6

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 for MCQ: Pipes and Cisterns - 1 - 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

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 for MCQ: Pipes and Cisterns - 1 - 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

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 for MCQ: Pipes and Cisterns - 1 - 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

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 for MCQ: Pipes and Cisterns - 1 - 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

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 for MCQ: Pipes and Cisterns - 1 - 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

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 for MCQ: Pipes and Cisterns - 1 - 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

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 for MCQ: Pipes and Cisterns - 1 - 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

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 for MCQ: Pipes and Cisterns - 1 - 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

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 for MCQ: Pipes and Cisterns - 1 - 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

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 for MCQ: Pipes and Cisterns - 1 - 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.

## Quantitative Aptitude for SSC CGL

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## Quantitative Aptitude for SSC CGL

314 videos|170 docs|185 tests