Pipes and Cisterns Quiz Set 004

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Question 1

Two pipes, A and B, can fill a cistern in 11 and 6 mins respectively. There is a leakage tap that can drain 12 liters of water per minute. If all three of them work together, the tank is filled in 6 minutes. What is the volume of the tank?

 A

132 liters.

 B

133 liters.

 C

131 liters.

 D

45 liters.

Soln.
Ans: a

Work done by the leakage in 1 min is $1/11 + 1/6 - 1/6$ = ${1/11}$. This work is equivalent to a volume of 12 liters. So, the total volume is 12 × 11 = 132 liters.


Question 2

A tank is (3/8)th filled with water. When 68 liters of water are added, it becomes (4/5)th filled. What is the capacity of the tank?

 A

160 liters.

 B

170 liters.

 C

180 liters.

 D

190 liters.

Soln.
Ans: a

Let x be the capacity in liters. ${3x}/8 + 68 = {4x}/5$. Solving, x = 160 liters.


Question 3

Tap X can fill the tank in 18 mins. Tap Y can empty it in 9 mins. In how many minutes will the tank be emptied if both the taps are opened together when the tank is $5/17$th full of water?

 A

$5{5/17}$ mins.

 B

$6{11/16}$ mins.

 C

$3{16/19}$ mins.

 D

$7{8/19}$ mins.

Soln.
Ans: a

1 filled tank can be emptied in ${18 × 9}/{18 - 9}$ mins. So 5/17 can be emptied in ${18 × 9}/{18 - 9}$ × $5/17$ = ${90/17}$, which is same as: $5{5/17}$ mins.


Question 4

Tap X can fill the tank in 16 mins. Tap Y can empty it in 6 mins. In how many minutes will the tank be emptied if both the taps are opened together when the tank is $6/16$th full of water?

 A

$3{3/5}$ mins.

 B

$5{3/4}$ mins.

 C

$1{6/7}$ mins.

 D

$4{5/7}$ mins.

Soln.
Ans: a

1 filled tank can be emptied in ${16 × 6}/{16 - 6}$ mins. So 6/16 can be emptied in ${16 × 6}/{16 - 6}$ × $6/16$ = ${18/5}$, which is same as: $3{3/5}$ mins.


Question 5

Two pipes, A and B, can fill a bucket in 17 and 9 mins respectively. Both the pipes are opened simultaneously. The bucket is filled in 7 mins if B is turned off after how many minutes:

 A

$5{5/17}$ mins.

 B

$6{11/16}$ mins.

 C

$3{16/19}$ mins.

 D

$7{8/19}$ mins.

Soln.
Ans: a

Let B be closed after it has been filling for x minutes. Work done by pipes A and B should add to 1. So $7/17$ + $x/9$ = 1. Solving, we get x = ${90/17}$, which is same as: $5{5/17}$.


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This Blog Post/Article "Pipes and Cisterns Quiz Set 004" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-04-07.

Posted by Parveen(Hoven),
Aptitude Trainer


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