Pipes and Cisterns Quiz Set 002 | Maths Aptitude Quiz Questions and Mock Test on Pipes and Cisterns Set 2 | mock tests for Bank PO, SSC Exams, SO Clerical Exam, GATE Exam, LIC AO, GIC AO, etc.

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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?

$3{15/16}$ mins.

$5{4/15}$ mins.

$2{11/18}$ mins.

$6{1/6}$ 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 = $3{15/16}$.

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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?

360 liters.

370 liters.

380 liters.

390 liters.

Soln.
Ans: a

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

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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?

$3{1/17}$ mins.

$4{5/16}$ mins.

$1{16/19}$ mins.

$5{8/19}$ 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 = $3{1/17}$.

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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?

$2{2/23}$ mins.

$3{5/22}$ mins.

1 mins.

$4{17/25}$ 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.

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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?

8 mins.

9 mins.

7 mins.

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.

Solution | Discuss! | Chapters»