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Bank Exam Quantitative Aptitude - Pipes and Cistern Important Questions

Quantitative Aptitude - Pipes and Cistern

Exam Duration: 60 Mins Total Questions : 25

1 )

Two pipes A and B can fill a tank in 20 and 30 minutes respectively. If both the pipes are used together,then how long will it take to fill the tank ?

(a)
12 min
(b)
15 min
(c)
25 min
(d)
50 min

2 )

A cistern can be filled by a tap in 4 hours whille it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously then after how much time will the cistern get filled ?

(a)
4.5 hrs
(b)
5 hrs
(c)
6.5 hrs
(d)
7.2 hrs

3 )

A water tank is two-fifth full. Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes. If both pipes are open, how long will it take to empty or fill the tank completely ?

(a)
6 min to empty
(b)
6 min to fill
(c)
9 min to fill
(d)
None of these

4 )

Pipe A can fill a tank in 5 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled ?

(a)
2
(b)
2.5
(c)
3
(d)
3.5

5 )

Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in :

(a)
\(1\frac { 13 }{ 17 } \)hours
(b)
\(2\frac { 8 }{ 11 } \quad \)hours
(c)
\(3\frac { 9 }{ 11 } \)hours
(d)
\(4\quad \frac { 1 }{ 2 } \)hours

6 )

Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes and 10 minutes respectively, When the tank is empty, all the three pipes are opened A, B and C discharge chemical solution P,Q and R respectively. What is the proportion of solution R in the liquid in the tank after 3 minutes ?

(a)
\(\frac { 5 }{ 11 } \)
(b)
\(\frac { 6 }{ 11 } \)
(c)
\(\frac { 7 }{ 11 } \)
(d)
\(\frac { 8 }{ 11 } \)

7 )

Two pipes A and B can separately fill a cistern in 60 minutes and 75 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 minutes. In how much time the third pipe alone can empty the cistern ?

(a)
90 min
(b)
100 min
(c)
110 min
(d)
120 min

8 )

A pump can fill a tank with water in 2 hours. Because of a leak, it took \(2\frac { 1 }{ 3 } \) hours to fill the tank. The leak can drain all the water of the tank in :

(a)
\(4\frac { 1 }{ 3 } \) hrs
(b)
7 hrs
(c)
8 hrs
(d)
14 hrs

9 )

Two taps A and B can fill a tank in 5 hours and 20 hours respectively. If both the taps are open then due to a leakage, it took 30 minutes more to fill the tank. If the tank is full how long will it take for the leakage alone to empty the tank?

(a)
4 1/2 hrs
(b)
9 hrs
(c)
18 hrs
(d)
36 hrs

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, then the slower pipe alone will be able to fill the tank in :

(a)
81 min
(b)
108 min
(c)
144 min
(d)
192 min

11 )

Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would have taken 6 hours more than A to fill the cistern. How much time will be taken by A to fill the cistern separately ?

(a)
1 hr
(b)
2 hrs
(c)
6 hrs
(d)
8 hrs

12 )

A tank is filled in 5 hours by three pipes A,B and C. The pipe C is twice as fast as B and B is twice as fast as A . How much time will pipe A alone take to fill the tank ?

(a)
20 hrs
(b)
25 hrs
(c)
35 hrs
(d)
Cannot be determined
(e)
None of these

13 )

A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone the second pipe fills the tanks 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is :

(a)
6 hrs
(b)
10 hrs
(c)
15 hrs
(d)
30hrs

14 )

Bucket P has thrice the capacity as bucket Q. It takes 60 turns for bucket P to fill the empty drum. How many turns it will take for both the buckets P and Q, having each turn together to fill the empty drum ?

(a)
30
(b)
40
(c)
45
(d)
90

15 )

Two pipes A and B can fill a tank in 12 minutes and 15 minutes respectively. If both the taps are opened simultaneously, and the tap A is closed after 3 minutes, then how much more time will it take to fill the tank by tap B ?

(a)
7 min 15 sec
(b)
7 min 45 sec
(c)
8 min 5 sec
(d)
8 min 15 sec

16 )

Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe A is turned off. What is the total time requires to fill the tank ?

(a)
10 min 20 sec
(b)
11 min 45 sec
(c)
12 min 30 sec
(d)
14 min 40 sec

17 )

Two pipes A and B can fill a tank in 15 hours and 20 hours respectively while a third pipe C can empty the full tank in 25 hours. All the three pipes are opened in the beginning. After 10 hours, C is closed. In how much time , will the tank be full ?

(a)
12 hrs
(b)
13 hrs
(c)
16 hrs
(d)
18 hrs

18 )

A large tanker can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half ?

(a)
15 min
(b)
20 min
(c)
27.5 min
(d)
30 min

19 )

Two pipes A and B can fill a cistern in 12 minutes and 15 minutes respectively while a third pipe C can empty the full tank in 6 minutes. A and B are kept open for 5 minutes in the beginning and then C is also opened. In what time is the cistern emptied ?

(a)
30 min
(b)
33 min
(c)
\(37\frac { 1 }{ 2 } \) min
(d)
45 min

20 )

Two pipes A and B can fill a tank in 6 hours and 4 hours respectively, If they are opened on alternates hours and if pipe A is opened first, in how many hours, the tank shall be full ?

(a)
4
(b)
\(4\frac { 1 }{ 2 } \)
(c)
5
(d)
\(5\frac { 1 }{ 2 } \)

21 )

Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A is open all the time and B and C are open for one hours each alternately, the tank will be full in :

(a)
6 hrs
(b)
\(6\frac { 2 }{ 3 } \)hrs
(c)
5
(d)
\(7\frac { 1 }{ 2 } \)hrs

22 )

A booster pump can be used for filling as well as for emptying a tank. the capacity of the tank is 2400 m³. the emptying capacity of the tank is 10 m³ per minutes higher than its filling capacity and the pump needs 8 minutes lesser to empty the tank than it needs to fill it. what is the filling capacity of the pump?

(a)
50 m³/ min
(b)
60 m³/ min
(c)
72 m³/ min
(d)
none of these

23 )

A leak in the bottom of a tank can empty the full tank in 8 hours. An inlet pipe fills water at the rate of 6 litres a minute. When the tank is full, the inlet is opened and due to the leak, the tank is empty in 12 hours. How many litres does the cistern hold ?

(a)
7580
(b)
7960
(c)
8290
(d)
8640

24 )

Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is :

(a)
60 gallons
(b)
100 gallons
(c)
120 gallons
(d)
180 gallons

25 )

Two pipes A and B can fill a cistern in \(37\frac { 1 }{ 2 } \) minutes and 45 minutes respectively. both pipes are opened. the cistern will be filled in just half an hour , if the pipe B is turned off after :