Pipes and Cisterns Quiz Set 002

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Question 1

Two taps X and Y can fill a tank in 7 and 9 minutes respectively. Both the taps are turned on at the same time. After how many minutes is the tank completely filled?

 A

$3{15/16}$ mins.

 B

$5{4/15}$ mins.

 C

$2{11/18}$ mins.

 D

$6{1/6}$ mins.

Soln.
Ans: a

Let the time be x mins. Then sum of works done by X and Y = 1. $x/7 + x/9 = 1$. Solving, we get x = $3{15/16}$.


Question 2

A tank is (2/9)th filled with water. When 64 liters of water are added, it becomes (2/5)th filled. What is the capacity of the tank?

 A

360 liters.

 B

370 liters.

 C

380 liters.

 D

390 liters.

Soln.
Ans: a

Let x be the capacity in liters. ${2x}/9 + 64 = {2x}/5$. Solving, x = 360 liters.


Question 3

Two taps X and Y can fill a tank in 4 and 13 minutes respectively. Both the taps are turned on at the same time. After how many minutes is the tank completely filled?

 A

$3{1/17}$ mins.

 B

$4{5/16}$ mins.

 C

$1{16/19}$ mins.

 D

$5{8/19}$ mins.

Soln.
Ans: a

Let the time be x mins. Then sum of works done by X and Y = 1. $x/4 + x/13 = 1$. Solving, we get x = $3{1/17}$.


Question 4

Two taps X, Y and Z can fill a tank in 4, 16 and 6 minutes respectively. All the taps are turned on at the same time. After how many minutes is the tank completely filled?

 A

$2{2/23}$ mins.

 B

$3{5/22}$ mins.

 C

1 mins.

 D

$4{17/25}$ mins.

Soln.
Ans: a

Let the time be x mins. Then sum of works done by X, Y and Z = 1. $x/4 + x/16 + x/6 = 1$. Solving, we get x = $2{2/23}$. Or use the shortcut ${abc}/{ab + bc + ca}$. Another thing, instead of solving the entire calculation, you can keep an eye on the options to find the nearest answer.


Question 5

Two taps A and B can fill a tank in 16 and 32 minutes respectively. Both the taps are turned on at the same time. After how many minutes should B be turned off so that the tank can be filled in 12 minutes?

 A

8 mins.

 B

9 mins.

 C

7 mins.

 D

11 mins.

Soln.
Ans: a

Let B be closed after x mins. Then sum of works done by A and B = 1. $12/16 + x/32 = 1$. Solving, we get x = 8.


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This Blog Post/Article "Pipes and Cisterns Quiz Set 002" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-06-24.

Posted by Parveen(Hoven),
Aptitude Trainer


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