Pipes and Cisterns Quiz Set 009

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Question 1

A tap can fill a tank in 2 hours. Because of a leak it took 3 hours to fill the tank. When the tank has been completely filled, the tap is closed. How long will the water last in the tank?

 A

6 hrs.

 B

7 hrs.

 C

5 hrs.

 D

3 hrs.

Soln.
Ans: a

Work done by the leak in one hour is $1/2 - 1/({18/6})$ = $1/2 - 6/18$ = $6/36$. So the leak will complete the whole task in 6 hours.


Question 2

A bucket can be filled by a tap in 7 minutes. Another tap on the same bucket can empty it in 9 mins. How long will it take to fill the bucket if both the taps are opened together?

 A

$31{1/2}$ mins.

 B

$32{1/2}$ mins.

 C

$30{1/2}$ mins.

 D

$17{1/4}$ mins.

Soln.
Ans: a

Net part filling in one hour is $1/x - 1/y$ = $(y - x)/(xy)$. So complete filling occurs in $(xy)/(y - x)$ = ${7 × 9}/{9 - 7}$ = ${63/2}$, which is same as: $31{1/2}$ mins.


Question 3

A tap can fill a tank in 2 hours. Because of a leak it took $3{1/6}$ hours to fill the tank. When the tank has been completely filled, the tap is closed. How long will the water last in the tank?

 A

$5{3/7}$ hrs.

 B

$7{1/2}$ hrs.

 C

$3{4/9}$ hrs.

 D

$6{5/9}$ hrs.

Soln.
Ans: a

Work done by the leak in one hour is $1/2 - 1/({19/6})$ = $1/2 - 6/19$ = $7/38$. So the leak will complete the whole task in ${38/7}$, which is same as: $5{3/7}$ hours.


Question 4

Two ink dispensers discharge ink into a color mixer. The first one can fill it in 35 minutes, whereas the second can fill it in 7 minutes. Both them are opened at the same time, but the second ink dispenser is turned off after 4 minutes. What is the total time required to fill the color mixer cistern?

 A

15 mins.

 B

16 mins.

 C

14 mins.

 D

17 mins.

Soln.
Ans: a

If the total time is T, the sum of works done by the ink dispensers are $T/35 + 4/7$ = 1. Solving, T = 15 mins.


Question 5

A tank is (2/9)th filled with water. When 108 liters of water are added, it becomes (2/3)th filled. What is the capacity of the tank?

 A

243 liters.

 B

253 liters.

 C

263 liters.

 D

273 liters.

Soln.
Ans: a

Let x be the capacity in liters. ${2x}/9 + 108 = {2x}/3$. Solving, x = 243 liters.


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This Blog Post/Article "Pipes and Cisterns Quiz Set 009" 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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