Pipes and Cistern- Aptitude Questions and Answers - in Hindi

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


एक नल एक टंकी को 6 घंटे में भर सकता है। आधा टैंक भरने के बाद, तीन और समान नल खोले जाते हैं। टैंक को पूरी तरह से भरने में लिया गया कुल समय कितना है?

A)
3 hrs 45 min

B)
4 hrs

C)
4 hrs 15 min

D)
5 hrs


Correct Answer :

3 hrs 45 min


Explanation :

Time taken by one tap to fill the half of the tank =3 hours
Part filled by the four taps in 1 hour=4/6=2/3
Remaining part=1 -1/2=1/2

2/3 of the tank is filled by four taps in 1 hour
let the time taken to fill Remaining part is x

Therefore, 2/3:1/2 :: 1:x
or x=(1/2)*1*(3/2)=3/4 hours
ie 45 min

So, the total time taken = 3 hrs + 45 min = 3 hrs 45 min

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Three pipes A, B and C together can fill a cistern in 6 hours. After working together for 2 hours, C is closed and A and B fill the remaining cistern in 8 hours. Then the time in which the cistern can be filled by pipe C alone will be:


तीन पाइप A, B और C एकसाथ एक टंकी को 6 घंटे में भर सकते है । दो घंटे एक साथ चलने के पश्चात C को बंद कर दिया जाता है और A और B शेष टंकी को 8 घंटे में भर देते है । तो बताइए पाइप C अकेले टंकी को कितने समय में भर सकता है ।

A)
11 hours

B)
9 hours

C)
12 hours

D)
10 hours


Correct Answer :

12 hours


Explanation :

Three Pipes A,B and C together filled a tank in 6 hours
So 1 hour work of A,B and C =1/6
C closed after 2 hour's, Part filled in 2 hours working together(A,B and C) = 2/6 = 1/3
Remaining part = (1-1/3) = 2/3

A and B can fill remaining in 8 hours, (A + B)'s 8 hour's work = 2/3

So, (A+B)'s 1 hour work = 2/24=1/12

Therefore C's 1 hour's work
= [(A+B+C)'s 1 hour]-[(A+B)'s 1 hr work]
=(1/6 - 1/12) = 1/12

C alone can fill the tank in 12 hours

Two pipes A and B can fill a cistern in 4 and 6 minutes respectively. If both the pipes kept turned on alternatively for one minute each starting from A, how long will it take to fill the cistern?


दो नल A और B एक पात्र को क्रमश: 4 और 6 मिनट में भर सकते है । यदि A से प्रारंभ करते हुए दोनों नलों को एक­-एक मिनट के लिये बारी­बारी से खोला जाए, तो पात्र को भरने में कितना समय लगेगा?

A)
3(3/7) minutes

B)
6 minutes

C)
4(2/3) minutes

D)
6(6/7) minutes


Correct Answer :

4(2/3) minutes


Explanation :

As the pipes are operating alternatively for one minute, thus (A+B)'s 2 minutes job is =(1/4 +1/6) =5/12
in next, 2 minutes both pipe can fill another 5/12 part.
So in 4 minutes A and B are operating alternatively will fill 5/12 + 5/12 = 5/6

Remaining part of cistern= 1 - 5/6 =1/6

Pipe A can fill 1/4 part of the cistern in 1 minute,and can fill 1/6 part of the cistern in = 4*(1/6) =2/3 minutes

Total time taken to fill the Cistern = time taken to fill (5/6 part + 1/6 part)
=> 4 minutes + 2/3 minutes = 4(2/3) minutes Or, 4 minutes 40 seconds

Pipe A can fill a tank in 45 hrs and pipe B can fill it in 36 hrs. If both the pipes are opened in the empty tank. In how many hours will it be full?


पाइप A एक टैंक को 45 घंटे में भर सकता है और पाइप B इसे 36 घंटे में भर सकता है। यदि दोनों पाइपों को खाली टंकी में खोल दिया जाए। टैंक कितने घंटे में भर जाएगा?

A)
10 hr

B)
15 hr

C)
20 hr

D)
28 hr


Correct Answer :

20 hr


Explanation :

If a pipe can fill a tank in x hours, then : part filled in 1 hour = 1/x

Part filled A in 1 hr= (1/45)
Part filled B in 1 hr= (1/36)
Part filled by (A+B) together in 1 hr=(1/45)+(1/36)=1/20

So, The tank will be full in 20 hr.

If a pipe fills a tank in 6 h, then what part of the tank will the pipe fill in 1 h?


यदि एक पाइप एक टैंक को 6 घंटे में भरता है, तो पाइप 1 घंटे में टैंक का कितना भाग भरेगा?

A)
1/3

B)
1/6

C)
1/4

D)
1/5


Correct Answer :

1/6


Explanation :

Let the pipe can fill a tank in x hours, then part filled in 1 hour = 1/x

A pipe fills a tank in 6 h, then the part of tank filled in 1 h = 1/6
Hence, required part of the tank to be filled in 1h = 1/6 part

A tap can fill a tank in 16 minutes and another can empty it in 8 minutes. If the tank is already half full and both the taps are opened together, the tank will be ?


एक नल एक टंकी को 16 मिनट में भर सकता है और दूसरा इसे 8 मिनट में खाली कर सकता है। यदि टंकी पहले से आधी भरी हुई है और दोनों नलों को एक साथ खोल दिया जाता है, तो टंकी कितनी होगी?

A)
Filled in 12 min

B)
Emptied in 12 min

C)
Filled in 8 min

D)
Emptied in 8 min


Correct Answer :

Emptied in 8 min.


Explanation :

Let a pipe can fill a tank in x hours and another pipe can empty the full tank in y hours (where x > y), when opening both the pipes, the net part emptied in 1 hour = (1/y)-(1/x)
=> (1/8 - 1/16) = 1/16

Time taken to empty the full tank = 16 min.
Hence, time taken to empty the half tank = 8 min

One tap can fill a cistern in 2 hours and another can empty the cistern in 3 hours. How long will they take to fill the cistern if both the taps are opened ?


एक नल एक टंकी को 2 घंटे में भर सकता है और दूसरा 3 घंटे में टंकी को खाली कर सकता है। यदि दोनों नलों को खोल दिया जाए तो वे टंकी को भरने में कितना समय लेंगे?

A)
5 hours

B)
6 hours

C)
7 hours

D)
8 hours


Correct Answer :

6 hours


Explanation :

Let a pipe can fill a tank in x hours, and another pipe can empty the full tank in y hours (where y> x), then on opening both the pipes, the net part filled in 1 hour = (1/x)-(1/y)
=> (1/2 - 1/3) = 1/6

Hence, time taken to fill the cistern = 6 hours

44 pipes can fill a large water tank in 27 hours. How many hours it take for 66 pipes to fill four such tanks ?


44 पाइप एक बड़ी पानी की टंकी को 27 घंटे में भर सकते हैं। ऐसे चार टैंकों को भरने में 66 पाइपों को कितने घंटे लगते हैं?

A)
72

B)
54

C)
63

D)
84


Correct Answer :

72


Explanation :

44 pipes => 27 hours
66 pipes=> ?

Amount of work done is same for filling a pipe, So 44*27 = 66*X
X = 44*27 / 66
X = 18

66 pipes can fill one tanks in 18 hours.
Hence, they will fill 4 tanks in 18*4 = 72 hours

A tank can be filled by one tap in 10 minutes and by another in 30 minutes. Both the taps are kept open for 5 minutes and then the first one is shut off. In how many minutes more is the tank completely filled?


एक टंकी को एक नल 10 मिनट में और दूसरा नल 30 मिनट में भर सकता है। दोनों नलों को 5 मिनट के लिए खुला रखा जाता है और फिर पहले वाले को बंद कर दिया जाता है। टंकी कितने मिनट में पूरी तरह से भर जाएगी?

A)
5

B)
7.5

C)
10

D)

12



Correct Answer :

10


Explanation :


Work done by first tap in 1 min is 1/10
Work done by second tap in 1 min is 1/30

In 5 minutes work done by both pipes is = 5*(1/10 + 1/30)
=5*(4/30)
=2/3

After 5 min first tap is closed,
Now, remaining work is = 1 - 2/3 = 1/3

So, remaining work done by second tap is = 30*(1/3) = 10
After closing first tap, the second tap will be filled the tank completely in 10 minutes.

Two pipes A and B can fill a tank in 36 hours and 45 hours respectively. If both the pipes are opened simultaneously, how much time will be taken to fill the tank?


दो पाइप A और B एक टैंक को क्रमशः 36 घंटे और 45 घंटे में भर सकते हैं। यदि दोनों पाइपों को एक साथ खोल दिया जाए, तो टंकी को भरने में कितना समय लगेगा?

A)
40 hours

B)
30 hours

C)
20 hours

D)
10 hours


Correct Answer :

20 hours


Explanation :

Part filled by A in 1 hour=1/36
Part filled by B in 1 hour= 1/45
Part filled by (A+B)'s in 1 hour=1/36 +1/45
= 9/180
= 1/20
Hence, both the pipes together will fill the tank in 20 hours

Two pipes can fill a tank in 10 hours and 12 hours respectively, while a third pipe empties the full tank in 20 hours. If all the three pipes operate simultaneously, in how much time will the tank be filled?


दो पाइप एक टैंक को क्रमशः 10 घंटे और 12 घंटे में भर सकते हैं, जबकि एक तीसरा पाइप पूरे टैंक को 20 घंटे में खाली कर देता है। यदि तीनों पाइप एक साथ काम करते हैं, तो टैंक को भरने में कितना समय लगेगा?

A)
7 hrs 15 min

B)
7 hrs 30 min

C)
7 hrs 45 min

D)
8 hrs


Correct Answer :

7 hrs 30 min


Explanation :

Three pipes 1 hour work =1/10 +1/12 -1/20
=8/60
=2/15
The tank be filled in 15/2 hours= 7 hrs 30 min

A cistern can be filled by a tap in 4 hours while 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?


एक टंकी को एक नल 4 घंटे में भर सकता है जबकि दूसरा नल इसे 9 घंटे में खाली कर सकता है। यदि दोनों नलों को एक साथ खोल दिया जाए, तो कितने समय बाद टंकी भर जाएगी?

A)
7.1 hours

B)
7.2 hours

C)
7.3 hours

D)
7 hours


Correct Answer :

7.2 hours


Explanation :

Net part filled in 1 hour= 1/4 -1/9= 5/36
Therefore the cistern will be filled in 36/5 hours or 7.2 hours

If two pipes function simultaneously, the reservoir will be filled in 12 days.One pipe fills the reservoir 10 hours faster than the other. How many hours does it take the second pipe to fill the reservoir?


यदि दो पाइप एक साथ काम करते हैं, तो जलाशय 12 दिनों में भर जाएगा। एक पाइप जलाशय को दूसरे की तुलना में 10 घंटे तेजी से भरता है। दूसरा पाइप जलाशय को भरने में कितने घंटे का समय लेगा?

A)
25 hours

B)
28 hours

C)
30 hours

D)
35 hours


Correct Answer :

30 hours


Explanation :

Let the reservoir be filled by the 1st pipe in x hours
The second pipe will fill it in (x+10) hours
1/x + (1/(x+10))= 1/12
=> (2x+10)/((x)*(x+10))= 1/12
=> x2-14x-120=0
=> (x-20)(x+6)=0
=> x=20 (value can not be -ve )
So, the second pipe will take 30 hours to fill the reservoir

A cistern has two taps which fill it in 12 min and 15 min respectively. There is also a waste pipe in the cistern. When all the three are opened, the empty cistern is full in 20 min. How long will the waste pipe take to empty the full cistern?


एक हौज में दो नल हैं जो इसे क्रमशः 12 मिनट और 15 मिनट में भरते हैं। टैंक में एक बेकार पाइप भी है। जब तीनों को खोल दिया जाता है, तो खाली टंकी 20 मिनट में भर जाती है। बेकार पाइप पूरे टैंक को खाली करने में कितना समय लेगा?

A)
8 minutes

B)
10 minutes

C)
12 minutes

D)
16 minutes


Correct Answer :

10 minutes


Explanation :

Work done by a waste pipe in 1 min
=(1/12+1/15) - 1/20 = 1/10

Waste pipe will empty the cistern in 10 minutes.

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


एक पानी की टंकी दो-पांचवीं भाग भरी है। पाइप A एक टैंक को 10 मिनट में भर सकता है। और B इसे 6 मिनट में खाली कर सकता है। यदि दोनों पाइप खुले हैं, तो टैंक को खाली करने या पूरी तरह से भरने में कितना समय लगेगा?

A)
6 min. to empty

B)
6 min. to full

C)
9 min. to empty

D)
9 min. to full


Correct Answer :

6 min. to empty


Explanation :

Clearly, pipe B is faster than A and So, the tank will be emptied.

Part to be emptied=2/5
Part emptied by (A+B) in 1 min= 1/6 - 1/10=1/15
Therefore, 1/15:2/5::1:x
or x=((2/5)*1*15)=6 min

So, the tank be emptied in 6 min

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?


बाल्टी P की क्षमता बाल्टी Q से तिगुनी है। बाल्टी P को खाली ड्रम भरने में 60 क्रम लगते हैं। दोनों बाल्टियों P और Q को एक साथ खाली ड्रम को भरने में कितने क्रम लगेंगे?

A)
30

B)
40

C)
45

D)
90


Correct Answer :

45


Explanation :

Let the capacity of P be x liters
Then capacity of Q=x/3 liter
Capacity of the drum=60x liter
Required number of turns= 60x/(x+(x/3))= 60x*3/4x=45

Two pipes can fill a cistern in 14 hours and 16 hours respectively. The pipes are opened simultaneously and it is found that due to leakage in the bottom it took 32 min more to fill the cistern. When the cistern is full, in what time will the leak empty it?


दो पाइप एक टंकी को क्रमश: 14 घंटे और 16 घंटे में भर सकते हैं। पाइपों को एक साथ खोला जाता है और यह पाया जाता है कि तल में रिसाव के कारण टंकी को भरने में 32 मिनट अधिक लगे। जब टंकी भर जाएगी, तो रिसाव उसे कितने समय में खाली कर देगा?

A)
112 hrs

B)
115 hrs

C)
116 hrs

D)
118 hrs


Correct Answer :

112 hrs


Explanation :

Work done by the two pipes in 1 hour= 1/14+1/16=15/112
Time taken by these two pipes to fill the tank=112/15 hrs
Due to leakage, time taken = 7 hrs 28 min + 32 min= 8 hours
Therefore, work done by (two pipes + leak) in 1 hr= 1/8
work done by leak n 1 hour=15/112 -1/8=1/112
Leak will empty full cistern n 112 hours

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