Pipes and Cisterns Quiz Set 008

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Question 1

What is the volume of the tank in liters if it measures 9m × 5m × 9m?

 A

405000 liters.

 B

405 liters.

 C

2250 liters.

 D

72900 liters.

Soln.
Ans: a

The volume in m3 is 9 × 5 × 9 = 405m3. But 1m3 = 1000L. So volume in liters = 405 × 1000 = 405000L.


Question 2

Tap M can fill a cistern in 12 mins. And, a tap N can empty it in 7 mins. In how many minutes will the cistern be emptied if both the taps are opened together when the tank is $6/13$th already empty?

 A

$9{3/65}$ mins.

 B

$10{13/64}$ mins.

 C

$7{54/67}$ mins.

 D

$11{46/67}$ mins.

Soln.
Ans: a

1 filled cistern can be emptied in ${12 × 7}/{12 - 7}$ mins. So $1 - 6/13$ = $7/13$ filled cistern can be emptied in ${12 × 7}/{12 - 7}$ × $7/13$ = ${588/65}$, which is same as: $9{3/65}$ mins.


Question 3

One tap can fill a tank 3 times faster than the other. If they together fill it in 14 minutes, how much time does the slower alone take to fill the tank?

 A

56 mins.

 B

4 mins.

 C

2 mins.

 D

6 mins.

Soln.
Ans: a

Let the one minute work of the taps be 1/x and 3/x. We have $1/x + 3/x = 1/14$, which gives x = 4 × 14 = 56 mins.


Question 4

Two taps X and Y can fill a tank in 5 and 13 minutes respectively. Both the taps are turned on at the same time. After how many minutes is the tank completely filled?

 A

$3{11/18}$ mins.

 B

$4{15/17}$ mins.

 C

$2{7/20}$ mins.

 D

$5{19/20}$ mins.

Soln.
Ans: a

Let the time be x mins. Then sum of works done by X and Y = 1. $x/5 + x/13 = 1$. Solving, we get x = $3{11/18}$.


Question 5

Pipe A can fill a cistern in 45 minutes, while the pipe B can fill it in 30 minutes. They are alternately open for 1 minute. How long will it take the cistern to fill completely?

 A

36 mins.

 B

37 mins.

 C

35 mins.

 D

38 mins.

Soln.
Ans: a

Let the total time taken be 2x minutes. Both X and Y run for x mins. So $(x/30 + x/45)$ = 1. Solving for x, we get x = 18, which gives 2x = 36.


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This Blog Post/Article "Pipes and Cisterns Quiz Set 008" 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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