Aptitude - Pipes & Cisterns Online Quiz


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Following quiz provides Multiple Choice Questions (MCQs) related to Pipes & Cisterns. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.

Questions and Answers

Q 1 - In 1 minute 3/7 of a basin is filled. Whatever remains of the container can be filled in:

A - 2 min

B - 4/3 min

C - 7/3 min

D - none of these

Answer : B

Explanation

Part filled in 1 min. = 3/7. remaining part = (1- 3/7)= 4/7
Let the required time be x min.
More part, more time taken. (Direct)
3/7: 4/7:: 1: x ⇒ 3x/7 = (4/7*1) ⇒ x= 4/3 min.

Q 2 - A channels can fill a tank in x hours and another funnel can exhaust it in y (y>x) hours. In the event that both the funnels are open, in how long will the tank be filled?

A - (x-y) hours

B - (y-x) hours

C - xy/(x-y) hours

D - xy/(y-x) hours

Answer : D

Explanation

Work done by filling pipe in 1 hr = 1/x
Work done by emptying pipe in 1 hr = 1/y
Net filling work done by both in 1 hr = (1/x- 1/y) = (y-x)/xy
∴The tank will be filled in xy/(y-x) hrs.

Q 3 - A storage has two funnels. One can fill it with water in 8hours and the other can exhaust it in 5 hours. In how long will the reservoir be purged if both the channels are opened together when 3/4 of the storage is now loaded with water?

A - 10/3 hours

B - 6 hours

C - 10 hours

D - 40/3 hours

Answer : C

Explanation

Net part emptied by both in 1 hr = (1/5-1/8)= 3/40
3/40 part is emptied in 1 hr.
3/4 part will be emptied in (40/3*3/4) hrs = 10 hrs.

Q 4 - Two pipes A and B can fill a tank in 15 minutes and 20 minutes separately. Both the channels are opened together. Be that as it may, following 4 minutes, pipe is turned off. What is the aggregate time required to fill the tank?

A - 10 min 20 sec

B - 11 min 45 sec

C - 12 min 30 sec

D - 14 min 40 sec

Answer : D

Explanation

Part filled by both in 4 min. = 4*(1/15+1/20)= (4*7/60)= 7/15
Part unfilled = (1-7/15) = 8/15
1/20 part is filled by B in 1 min.
8/15 part is filled by B in (20*8/15) min. = 32/3 min = 10 min 40 sec.
Total time taken = (4 min+10 min 40 sec.) = 14 min 40 sec.

Q 5 - Two pipes A and B can fill a reservoir in 6 minutes and 7 minutes separately. Both the funnels are opened then again for 1 minute each. In what the reality of the situation will become obvious eventually fill the storage?

A - 5 min

B - 17/3 min

C - 45/7 min

D - 5/4 min

Answer : C

Explanation

Part filled by A in 1st min and B in 2nd min =(1/6+ 1/7 )= 13/42
Part filled by (A+B) working alternately in 6 min. (1/2 * 13/42*6) = 13/14
Remaining part = (1-13/14) = 1/14
It is now A's turn.
1/6 part is filled in 1 min.
1/14 part is filled in (6*1/14) min = 3/7 min.
Total time taken = 45/7 min.

Q 6 - A tap can fill a tank in 6 hours. After a large portion of the tank is filled, three more comparable taps are opened. What is the aggregate time taken to fill the tank totally?

A - 3hrs 15 min.

B - 3 hrs 45 min.

C - 4 hrs

D - 4 hrs 15 min

Answer : B

Explanation

Time taken by the tap to make the tank half full= 3 hrs.
Remaining part = 1/2
Part filled by 4 taps in 1 hour= (4*1/6) = 2/3
2/3 part is filled in 1 hour.
1/2 part is filled in (3/2*1/2) hr = 3/4 hr = 45 min.
Required time = 3hrs 45 min.

Q 7 - If two funnels work at the same time, the repository will be filled in 12 hours. One channel fills the store 10 hours quicker than the request. How long does the speedier funnel take to fill the store?

A - 25 hours

B - 28 hours

C - 30 hours

D - 35 hours

Answer : C

Explanation

Suppose that one pipe takes x hours to fill the reservoir.
Than the other pipes takes (x-10) hours.
∴ 1/x+ 1/(x-10) = 1/12 ⇒12(x-10+x)= x(x-10)
⇒x2-34x +120=0 ⇒(x-30) (X-4) =0
⇒x= 30 or x= 4
So, the faster pipe takes 30 hrs to fill the reservoir.

Q 8 - A channel can fill a reservoir in 12 minutes and another funnel can fill it in 15 minutes, however a third pipe can discharge it in 6 minutes. The initial two funnels are kept open for 5 minute to start with and after that the third pipe is additionally opened. In what time is the storage exhausted?

A - 30 minutes

B - 33 minutes

C - 75/2 minutes

D - 45 minutes.

Answer : D

Explanation

Part filled in 5 min= 5*(1/12+1/15)= (5*9/60)= 3/4
Part emptied in 1 min. when all the pipes are opened= 1/6 ? (1/12+1/15)
 = (1/6- 3/20) = 1/60
1/60 part is emptied in 1 min.
3/4 part will be emptied in (60*3/4) min = 45 min.

Q 9 - A pump can fill a tank with water in 2 hours. Because of a leak in the tank, it takes 7/3 hours to fill the tank. The leak can empty the filled tank in?

A - 8 hours

B - 7 hours

C - 7/3 hours

D - 14 hours

Answer : D

Explanation

Part of the tank filled by the pump in 1 hour = 1/2
Part of the tank filled by the pump in 1 hour because of the leak = 3/7
∴ Part of the tank emptied by the leak in 1 hour = 1/2 - 3/7
= 1/14
∴ Leak will empty the tank in 14 hours.

Q 10 - One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, the slower pipe alone will be able to fill the tank in ?

A - 81 mins

B - 108 min

C - 192 min

D - 144 min

Answer : D

Explanation

Let the time taken by faster pipe be x min
∴ 1/x + 1/3x = 1/36
Or, (3 +1)/3x = 1/36
Or, x = 48 min

∴ Time taken by slower pipe to fill the tank = 3*48min = 144 min

aptitude_pipes_cisterns.htm
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