Pipes and Cisterns Quiz Set 010

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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

Two taps X, Y and Z can fill a tank in 18, 15 and 11 minutes respectively. All the taps are turned on at the same time. After how many minutes is the tank completely filled?

 A

$4{146/211}$ mins.

 B

$5{151/210}$ mins.

 C

$3{140/213}$ mins.

 D

$7{44/71}$ mins.

Soln.
Ans: a

Let the time be x mins. Then sum of works done by X, Y and Z = 1. $x/18 + x/15 + x/11 = 1$. Solving, we get x = $4{146/211}$. 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 3

Two taps X and Y can fill a tank in 6 and 9 minutes respectively. Both the taps are turned on at the same time. After how many minutes is the tank completely filled?

 A

$3{3/5}$ mins.

 B

$5{3/4}$ mins.

 C

$1{6/7}$ mins.

 D

$4{5/7}$ mins.

Soln.
Ans: a

Let the time be x mins. Then sum of works done by X and Y = 1. $x/6 + x/9 = 1$. Solving, we get x = $3{3/5}$.


Question 4

Two pipes, A and B, can fill a cistern in 11 and 16 mins respectively. There is a leakage tap that can drain 9 liters of water per minute. If all three of them work together, the tank is filled in 17 minutes. What is the volume of the tank?

 A

$95{43/283}$ liters.

 B

$96{139/282}$ liters.

 C

$93{28/57}$ liters.

 D

$97{44/95}$ liters.

Soln.
Ans: a

Work done by the leakage in 1 min is $1/11 + 1/16 - 1/17$ = ${283/2992}$. This work is equivalent to a volume of 9 liters. So, the total volume is 9 × ${2992/283}$ = ${26928/283}$, which is same as: $95{43/283}$ liters.


Question 5

A tank is filled in 4 minutes by three taps running together. Tap A is twice as fast as tap B, and tap B is twice as fast as tap C. How much time will tap A take to fill the tank?

 A

28 mins.

 B

29 mins.

 C

27 mins.

 D

30 mins.

Soln.
Ans: a

Let the time taken by tap A be x mins. Then 4 minutes work of all the taps should add to 1. So we have, $4 × 1/x + 4 × 2/x + 4 × 4/x$ = 1, which is same as $4 × 7/x$ = 1. Solving, we get x = 28 mins.


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This Blog Post/Article "Pipes and Cisterns Quiz Set 010" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2019-08-18.

Posted by Parveen(Hoven),
Aptitude Trainer


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