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Quant Pipe and Cistern Day 13
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Mission IBPS PO 2017 – Quant Pipe and Cistern Day 13
Quant Section
No Of Question: 10
Test Time: 10 Mins
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Question 1 of 10
1. Question
Category: QuantTwo pipes A and B can fill a cistern in 20 and 24 min respectively. Both pipe being opened, find when the first pipe must be turned off, so that the cistern may be filled in 12 min.
Correct
The Cistern is to be filled in 12 min. Second pipe can fill only 12/24=1/2 of the cistern in total time.
This means the other half of the tank will be filled in 10 min.
Incorrect
The Cistern is to be filled in 12 min. Second pipe can fill only 12/24=1/2 of the cistern in total time.
This means the other half of the tank will be filled in 10 min.

Question 2 of 10
2. Question
Category: QuantPipes A and B fill a tank in 30 minutes and 15 minutes. Pipe C drains 12 litres of water in a minute. If all of them are kept open when the tank is full, the tank empties in 30 minutes. How much water can the tank hold?

Question 3 of 10
3. Question
Category: QuantTwo pipes can fill a tank in 8 h and 12 h respectively whereas an escape pipe can empty it in 6 h. If the three pipes are opened at 1 pm, 2 pm and 3 pm respectively, at what time will the tank be filled?

Question 4 of 10
4. Question
Category: QuantA tank can be filled by pipe A in 6 hours and pipe B in 2 hours. At 2 pm, pipe B was opened. At what time will the tank be filled if pipe A is opened at 2 : 30 pm?
Correct
 A = 6 hr , B = 2hr
Let the capacity of tank = 12 litres
Rate of filling of tank by pipe A = 12/6 = 2 litre per hour
and rate of filling of tank by pipe B = 12/2 = 6 litre per hour
 Rate of filling of tank by pipe A & B together = 8 litre per hour
Now, Pipe B was opened ½ hour earlier than pipe A.
Volume of tank filled by pipe B in ½ hour = 3 litre
Remaining part of the tank which is still empty = (12 – 3) litre = 9 litre
Time required to fill 9 litre of tank by pipe A & B together = 9/8 hr = 1 hr 7.5 min
Required point of time = 2 : 30 pm + 1 hour 7.5 mins = 3 : 37.5 pm
Incorrect
 A = 6 hr , B = 2hr
Let the capacity of tank = 12 litres
Rate of filling of tank by pipe A = 12/6 = 2 litre per hour
and rate of filling of tank by pipe B = 12/2 = 6 litre per hour
 Rate of filling of tank by pipe A & B together = 8 litre per hour
Now, Pipe B was opened ½ hour earlier than pipe A.
Volume of tank filled by pipe B in ½ hour = 3 litre
Remaining part of the tank which is still empty = (12 – 3) litre = 9 litre
Time required to fill 9 litre of tank by pipe A & B together = 9/8 hr = 1 hr 7.5 min
Required point of time = 2 : 30 pm + 1 hour 7.5 mins = 3 : 37.5 pm

Question 5 of 10
5. Question
Category: QuantA swimming pool has 3 drain pipes. The first two pipes A and B, operating simultaneously, can empty the pool in half the time than that of taken by C alone. Pipe A, working alone, takes half the time taken by pipe B. Together they take 6 hrs 40 minutes to empty the pool. Time taken by pipe A to empty the pool, in hours, is

Question 6 of 10
6. Question
Category: QuantA tap can fill a cistern in 40 minutes and a second tap can empty the filled cistern in 60 minutes. By mistake without closing the second tap, the first tap was opened. In how many minutes will the empty tank be filled ?
Correct
Required time = 60 × 40 / 6040 = 2400/20 = 120 min.
Incorrect
Required time = 60 × 40 / 6040 = 2400/20 = 120 min.

Question 7 of 10
7. Question
Category: QuantThree pipes A, B and C can fill a tank in 20 min, 10 min and 30 min respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions x, y and z respectively. The proportion of solution y in the liquid in the tank after 3 min is.
Correct
Filling done by all 3 pipes in 3 min = 3/20 + 3/10 + 3/30 = 11/20
Filling done by 2^{nd} pipe in 3 min = 3 /10
So , required ratio = 3/10 ̸ 11/20 = 6/11 .
Incorrect
Filling done by all 3 pipes in 3 min = 3/20 + 3/10 + 3/30 = 11/20
Filling done by 2^{nd} pipe in 3 min = 3 /10
So , required ratio = 3/10 ̸ 11/20 = 6/11 .

Question 8 of 10
8. Question
Category: QuantA cistern has 3 pipes A, B and C. A and B can fill it in 3 and 4 hours respectively, and C can empty it in 1 hour. If the pipes are opened at 3 p.m., 4 p.m. and 5 p.m. respectively on the same day, the cistern will be empty at
Correct
Part of the cistern filled in 2hr by pipe A = 2/3
Part of the cistern filled in 1hr by pipe B = ¼
Total part filled up = 2/3 + ¼ = 11/12
When all pipe open together = 1/3 +1/4 – 1 = – 5/12
So, time take to empty 11/12 part = 11/12 × 12/5 =11/5 hr = 2hr 12 min
Req. time 5 + 2:12 = 7:12 pm
Incorrect
Part of the cistern filled in 2hr by pipe A = 2/3
Part of the cistern filled in 1hr by pipe B = ¼
Total part filled up = 2/3 + ¼ = 11/12
When all pipe open together = 1/3 +1/4 – 1 = – 5/12
So, time take to empty 11/12 part = 11/12 × 12/5 =11/5 hr = 2hr 12 min
Req. time 5 + 2:12 = 7:12 pm

Question 9 of 10
9. Question
Category: QuantTwo pipes can separately fill a tank in 20 hours and 30 hours respectively. Both the pipes are opened to fill the tank but when tank is 1/3 full a leak develops in the tank through which 1/3 of the water supplied by both the pipes leak out. What is the total time taken to fill the tank?
Correct
P1 20 9
180
P2 30 6
15
Time take to fill 1/3 rd tank = 180 /3× 5 = 4 Hr
After, this actual work done by ( P1 +P2) = (15) – 1/3 (15)
Time taken for fill remaining tank = 180 – 60 /10 = 12 hr
Total time Req. for fill the tank = 4+12 = 16 Hr
Incorrect
P1 20 9
180
P2 30 6
15
Time take to fill 1/3 rd tank = 180 /3× 5 = 4 Hr
After, this actual work done by ( P1 +P2) = (15) – 1/3 (15)
Time taken for fill remaining tank = 180 – 60 /10 = 12 hr
Total time Req. for fill the tank = 4+12 = 16 Hr

Question 10 of 10
10. Question
Category: QuantTwo pipe M and N can fill a tank in 8 1/3 min and 12 ½ min respectively and an outlet pipe can drain 162 litres water in 1 minute. If tank is full, all the three pipes are opened then tank will be empty in 4 minutes then capacity of tank will be
Correct
M 25/3 3
25
N 25/2 2/5
Time taken to fill tank br M+N = 25/5 = 5 min
According to the question, water t aken out in 4 min
So, [ 1 + 4/5 ] of the tank capacity
4 × 162 = 9/5 × C tank = 360 litre
Incorrect
M 25/3 3
25
N 25/2 2/5
Time taken to fill tank br M+N = 25/5 = 5 min
According to the question, water t aken out in 4 min
So, [ 1 + 4/5 ] of the tank capacity
4 × 162 = 9/5 × C tank = 360 litre