Hello Aspirants. Welcome to Online Quantitative Aptitude Section with explanation in AffairsCloud.com. Here we are creating question sample in **Pipes & Cistern **which is common for all competitive exams. We have included Some questions that are repeatedly asked in bank exams !!!

**Two pipes A and B can fill a tank in 4 hours and 5 hours respectively. If they are opened on alternate hours and if pipe B is opened first, in how many hours, the tank fill in**

A.7hrs

B.6hrs

C.4.30hrs

D.5hrs

E.None of these

Answer –**C.4.30hrs**

**Explanation :**

A+B = 1/4+1/5=9/20…………..2h

A+B = 18/20………………………4h

=9/10

Remaining = 1-9/10 = 1/10…it take 1/2 hr=> B

Already 4+ remaining 2(B) = 4+1/2 = 4.30hrs

**A tap can fill a tank completely in 6 hours. After half the tank is filled , one more similar tap is opened. What is the total time taken to fill the tank completely ?**

A.4hrs 20min

B.3hrs 30min

C.3hrs 10min

D.4hrs 30min

E.None of these

Answer –**D. 4hrs 30min**

**Explanation :**

Tab fill the half tank in 3hrs

Now another similar tab opened

1/6+1/6 = 2/6 = 1/3

Remaining half tank filled in 1.5hrs

Total time = 3+1.5 = 4hrs 30min

**A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 7 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?**

A.9.00hrs

B.9.20hrs

C.9.30hrs

D.9.33hrs

E.None of these

Answer –**D. 9.33hrs**

**Explanation :**

1/4 – 1/7 = 7-4/28

Cistern filled in = 28/3 = 9.33hrs

**A pipe can fill a tank in 5hours, but due to a leakage it took 7hours to fill the tank. If the tank is full, in what time will the tank become empty due to leakage ?**

A.15.30hrs

B.17.50hrs

C.16hrs

D.12.30hrs

E.None of these

Answer –**B.17.50hrs**

**Explanation :**

1/5-1/7 = 7-5/35 = 2/35 = 1/17.5

17.5hours

**Two pipes A and B can separately fill a tank in 10 and 15 minutes respectively. A third pipe C can drain off 30 liters of water per minute. If all the pipes are opened, the tank can be filled in 10 minutes. What is the capacity of the tank?**

A.500litres

B.370liters

C.450liters

D.320liters

E.None of these

Answer –**C.450liters**

**Explanation :**

1/10 + 1/15 – 1/x = 1/10

x = 15

15 * 30 = 450

**Two pipes A and B can fill a tank in 20 min. and 40 min. respectively. A water pipe C can empty the tank in 20 min. First A and B are opened. After 7 min, C is also opened. In how much time, the tank is full?**

A.30m

B.20m

C.25m

D.19m

E.None of these

Answer –**D.19m**

**Explanation :**

Part filled in 7 min. = 7*((1/20)+(1/40))=7(2+1/40) = 21/40

Remaining part=(1-(21/40))=(19/40).

Net part filled in 1min. when A,B and C are opened=(1/20)+(1/40)-(1/20)=(1/40).

Now,(1/40) part is filled in one minute.

(19/40) part is filled in = (40*(19/40))=19minutes.

**An electric pump can fill a tank in 2 hours. Because of a leak in the tank, it took 2 hours 30 min to fill the tank. In what time the leak can drain out all the water of the tank and will make tank empty ?**

A.12hrs

B.7hrs

C.10hrs

D.14hrs

E.None of these

Answer –**C.10hrs**

**Explanation :**

Work done for 1 hour without leak = 1/2

Work done with leak = 2(1/2)=5/2

Work done with leak in 1 hr= 2/5

Work done by leak in 1 hr =1/2−2/5=5-4/10=1/10

**Two pipes A and B can fill a cistern in 20 minutes and 30 minutes respectively. These pipes are opened alternately for 1 minute each, beginning with pipe A. In what time will the cistern be full?**

A.24minutes

B.20minutes

C.18minutes

D.28minutes

E.None of these

Answer –**A.24minutes**

**Explanation :**

In 2 minutes the part of the cistern filled = [(1/20) + (1/30)]

= (5/60) = (1/12)

:.(1/12) part of cistern is filled in 2 minutes

1 part of the cistern will be full in = (12×2) = 24 minutes

**Two pipes P and Q fill a tank in 9hrs and 5hrs respectively.If both the pipes are opens together then after how many hours should Q closed so that the tank is full in 6hrs respectively ?**

A.8/3hrs

B.5/3hrs

C.5hrs

D.3/2hrs

E.None of these

Answer –**B.5/3hrs**

**Explanation :**

Part of the tank is filled in 6hrs = 6/9 = 2/3

Time taken by pipe Q = 5*1/3 = 5/3

**A cistern has a leak which would empty the cistern in 10 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 15 minutes. How many liters does the cistern hold?**

A.120litres

B.115litres

C.110litres

D.130litres

E.None of these

Answer –**A.120litres**

**Explanation :**

1/x – 1/10 = -1/15

1/x = -1/15+1/10

= -10+15/150 = 5/150

1/x = 1/30

X=30

4x = 30*4 = 120litres

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