Pipes and Cisterns Quiz Set 007

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Question 1

A bucket can be filled by a tap in 6 minutes. Another tap on the same bucket can empty it in 15 mins. How long will it take to fill the bucket if both the taps are opened together?

 A

10 mins.

 B

11 mins.

 C

9 mins.

 D

$4{1/3}$ mins.

Soln.
Ans: a

Net part filling in one hour is $1/x - 1/y$ = $(y - x)/(xy)$. So complete filling occurs in $(xy)/(y - x)$ = ${6 × 15}/{15 - 6}$ = 10 mins.


Question 2

A tap can fill a tank in 2 hours. Because of a leak it took $2{2/7}$ 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

16 hrs.

 B

17 hrs.

 C

15 hrs.

 D

$6{1/3}$ hrs.

Soln.
Ans: a

Work done by the leak in one hour is $1/2 - 1/({16/7})$ = $1/2 - 7/16$ = $2/32$. So the leak will complete the whole task in 16 hours.


Question 3

A tank is filled in 19 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

133 mins.

 B

134 mins.

 C

132 mins.

 D

135 mins.

Soln.
Ans: a

Let the time taken by tap A be x mins. Then 19 minutes work of all the taps should add to 1. So we have, $19 × 1/x + 19 × 2/x + 19 × 4/x$ = 1, which is same as $19 × 7/x$ = 1. Solving, we get x = 133 mins.


Question 4

What is the volume of the tank in liters if it measures 5m × 2m × 2m?

 A

20000 liters.

 B

20 liters.

 C

200 liters.

 D

5000 liters.

Soln.
Ans: a

The volume in m3 is 5 × 2 × 2 = 20m3. But 1m3 = 1000L. So volume in liters = 20 × 1000 = 20000L.


Question 5

A city tanker is filled by two large pipes, X and Y, together in 42 and 28 minutes respectively. On a certain day, pipe Y is used for first half of the time, and both X and Y are used for the second half. How many minutes does it take to fill the tank?

 A

21 mins.

 B

22 mins.

 C

20 mins.

 D

23 mins.

Soln.
Ans: a

Let the time taken be x. Y is running for x mins, and X for x/2. So $(x/28 + x/{2 × 42})$ = 1. Solving for x, we get x = 21 mins.


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This Blog Post/Article "Pipes and Cisterns Quiz Set 007" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-04-07.

Posted by Parveen(Hoven),
Aptitude Trainer


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