Online Quiz in Pipes and Cistern For Quantitative Aptitude for Competitive exams like IBPS BANK PO/Clerical,SBI,RRB,SSC,LIC,UPSC-CSAT,SCRA.MAT,CMAT,MBA,SNAP,CAT,NTSE,CLAT
Pipes and Cistern-Test 1
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Subject :- Quantitative Aptitude
Chapter :- Pipers and Cistern-Test 1
Questions :- 25
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A Tank is filled with the mixture of Milk and Water in the ratio of 3:2 up to 2/5 of its
capacity. The tank has two inlet pipes i.e., Milk and Water inlets. Milk and Water pipe
can fill an empty tank in 12 and 18 hours respectively. Now both pipes are opened
simultaneously and closed after the Tank is completely filled, then what is the ratio of
Milk and Water in the full Tank if it can accommodate 250 Litre?
Correct
Initial Milk = 2/5*250*3/5 = 60 L
Water = 2/5*250*2/5 = 40 L
Rest of Tank =150 L
Pipes are opened then can fill rest of tank in
108/25 hours
H/W = constant
then (108/25)/12/x = (108/25)/18(150-x)
X = 90 = Milk, Water = 60
Final ratio = 3:2
Incorrect
Initial Milk = 2/5*250*3/5 = 60 L
Water = 2/5*250*2/5 = 40 L
Rest of Tank =150 L
Pipes are opened then can fill rest of tank in
108/25 hours
H/W = constant
then (108/25)/12/x = (108/25)/18(150-x)
X = 90 = Milk, Water = 60
Final ratio = 3:2
Question 2 of 25
2. Question
1 points
An Inlet pipe can fill a tank in 5 hours and an Outlet pipe can empty 4/7 of the same
Tank in 4 hours. In the first hour only Inlet pipe is opened and in the second hour, only
outlet pipe is opened. They have opened alternately every hour until the Tank is filled.
Then in how many hours does the Tank gets filled?
Correct
2 hours work = 1/5-1/7 = 2/35
34 hours work = 34/35
remaining work = 1/35
Now its inlet pipe turn = 1/35*5 = 1/7
= 34 hours + 60/7 min
Incorrect
2 hours work = 1/5-1/7 = 2/35
34 hours work = 34/35
remaining work = 1/35
Now its inlet pipe turn = 1/35*5 = 1/7
= 34 hours + 60/7 min
Question 3 of 25
3. Question
1 points
A Tank is already filled up to X% of its capacity. An Inlet pipe can fill Full Tank in
30 minutes and an Outlet pipe can empty Full Tank in 20 Minutes. Now both pipes are
opened then the Tank is emptied in 24 Minutes. Then initially up to what % of its
capacity is Tank filled?
Correct
1/30 – 1/20 = -1/60
Full Tank can be emptied 60 Minutes
In 24 minutes 40% of Tank can be emptied.
Incorrect
1/30 – 1/20 = -1/60
Full Tank can be emptied 60 Minutes
In 24 minutes 40% of Tank can be emptied.
Question 4 of 25
4. Question
1 points
Two Inlet Pipes A and B together can fill a Tank in „X‟ minutes. If A and B take 81
minutes and 49 minutes more than „X‟ minutes respectively, to fill the Tank. Then
They can fill the 5/7 of that Tank in how many minutes?
Correct
Time taken by two pipes to fill full Tank is =
√ab min = 63 min
5/7 Tank = 63*5/7 = 45 min
Incorrect
Time taken by two pipes to fill full Tank is =
√ab min = 63 min
5/7 Tank = 63*5/7 = 45 min
Question 5 of 25
5. Question
1 points
Pipe A can fill a Tank in 18 Hours, Pipe B can empty a Tank in 12 Hours, Pipe C can fill
Tank in 6 Hours. The Tank is already filled up to 1/6 of its capacity. Now Pipe A is
opened in the First Hour alone, Pipe B is opened in the Second Hour alone and Pipe C
is opened in the Third Hour alone. This cycle is repeated until the Tank gets filled. Then in
How many Hours does the rest of Tank gets filled?
Correct
In First Hour Tank filled = 1/6+1/18
Second Hour = 1/6+1/18-1/12
Third Hour = 1/6+1/18-1/12+1/6 = 11/36 is
filled
25/36 is left
From then 3 hours work = 1/18-1/12+1/6 = 5/36
5*3 Hours = 5*5/36 = 25/36
Total = 5*3+3 = 18 Hours
Incorrect
In First Hour Tank filled = 1/6+1/18
Second Hour = 1/6+1/18-1/12
Third Hour = 1/6+1/18-1/12+1/6 = 11/36 is
filled
25/36 is left
From then 3 hours work = 1/18-1/12+1/6 = 5/36
5*3 Hours = 5*5/36 = 25/36
Total = 5*3+3 = 18 Hours
Question 6 of 25
6. Question
1 points
If the ratio of Rate of filling of two Pipes A and B is 3:2. If together they can fill a Tank
5/6th of Tank in 20 minutes. Then in how many does A alone can fill the Tank?
Correct
5/6 tank = 20 Min
Full tank = 24 Min
1/2x+ 1/3x = 1/24
x = 20, A= 2x = 40 Min
Incorrect
5/6 tank = 20 Min
Full tank = 24 Min
1/2x+ 1/3x = 1/24
x = 20, A= 2x = 40 Min
Question 7 of 25
7. Question
1 points
Pipe A, B and can fill a Full Tank in 24,36 and 48 Minutes respectively. All three Pipes
are Opened simultaneously in a Tank which is already filled up to 1/6 of its capacity. A
and B are opened for only First 6 Minutes and closed thereafter.Then C alone filled
remaining Tank. Then in total how many Minutes does C filled the Tank?
Correct
6*(1/24+1/36+1/48) + x/48 = 5/6
x = 14 Min
C = 6+14 = 20
Incorrect
6*(1/24+1/36+1/48) + x/48 = 5/6
x = 14 Min
C = 6+14 = 20
Question 8 of 25
8. Question
1 points
Pipe A and B can fill a Tank alone in 12 Hours and 6 Hours respectively. Another
Pipe C can empty the same Tank alone in 9 Hours. In an empty Tank for the First hour,
Pipe A is opened alone, Second Hour pipe B is opened alone, Third Hour pipe C is opened
alone. This process is continued until the Tank is filled. Then Pipe A is opened for How
many Hours?
Correct
3 hours work = 1/12+ 1/6 – 1/9 = 5/36
7*3 hours work = 35/36
remaining work = 1/36
Now its pipe A turn = 1/36*12 = 1/3 hour
Total = 7 hours + 20 min
Incorrect
3 hours work = 1/12+ 1/6 – 1/9 = 5/36
7*3 hours work = 35/36
remaining work = 1/36
Now its pipe A turn = 1/36*12 = 1/3 hour
Total = 7 hours + 20 min
Question 9 of 25
9. Question
1 points
Pipe A and B can fill a Tank alone in 48 Hours and 24 Hours respectively. Another
Pipe C can empty the same Tank alone in 36 Hours. In an empty Tank for the First hour,
Pipe A is opened alone, Second Hour pipe B is opened alone, Third Hour pipe C is opened
alone. This process is continued until the Tank is filled. Then Pipe B is opened for How
many Hours?
Correct
3 Hours work = (1/48+1/24-1/36) = 5/144
28* 3hours = 140/144
remaining part = 4/144 = 1/36
Now it’s A turn = 1/36-1/48
= 1/144 left
Now it’s B turn = 1/144*24 = 1/6 hour = 10 min
Total B = 28 Hours + 10 Min
Incorrect
3 Hours work = (1/48+1/24-1/36) = 5/144
28* 3hours = 140/144
remaining part = 4/144 = 1/36
Now it’s A turn = 1/36-1/48
= 1/144 left
Now it’s B turn = 1/144*24 = 1/6 hour = 10 min
Total B = 28 Hours + 10 Min
Question 10 of 25
10. Question
1 points
Two Pipes A and B together can fill a Tank in „X‟ minutes. If „A‟ is Inlet Pipe can
Fill the Tank alone in 40 minutes less than „X‟ minutes and „B‟ is Outlet pipe can empty
the Tank alone in 30 minutes less than „X‟ minutes. Then together they can fill the
empty Tank in how many minutes?
Correct
1/x-40 – 1/x-30 = 1/x
x= 60 min
Incorrect
1/x-40 – 1/x-30 = 1/x
x= 60 min
Question 11 of 25
11. Question
1 points
A Special pump can be used for filling as well as for emptying a Cistern. The capacity of the Cistern is 2400 m³. The emptying capacity of the Cistern is 10 m³ per minute higher than its filling capacity and the pump needs 8 minutes lesser to Cistern the tank than it needs to fill it. What is the filling capacity of the pump?
Correct
Filling Capacity of the Pump = x m/min
Emptying Capacity of the pump = (x+10) m/min
2400/x – 2400/x+10 = 8
(x – 50) + (x + 60) = 0
x = 50
Incorrect
Filling Capacity of the Pump = x m/min
Emptying Capacity of the pump = (x+10) m/min
2400/x – 2400/x+10 = 8
(x – 50) + (x + 60) = 0
x = 50
Question 12 of 25
12. Question
1 points
Three pipes P, Q and R can fill a Cistern in 6 hours. After working at it together for 2
hours, R is closed and P and Q can fill the remaining part in 7 hours. The number of
hours taken by R alone to fill the Cistern is
Correct
Part filled in 2 hours = 2/6 = 1/3
Remaining Part = (1-1/3) = 2/3
(P + Q)’s 7 hour work = 2/3
(P + Q)’s 1 hour work = 2/21
R’s 1 hour work = (P + Q + R) 1 hour work – (P
+ Q) 1 hour work
= (1/6 – 2/21) = 1/14 = 14 hours
Incorrect
Part filled in 2 hours = 2/6 = 1/3
Remaining Part = (1-1/3) = 2/3
(P + Q)’s 7 hour work = 2/3
(P + Q)’s 1 hour work = 2/21
R’s 1 hour work = (P + Q + R) 1 hour work – (P
+ Q) 1 hour work
= (1/6 – 2/21) = 1/14 = 14 hours
Question 13 of 25
13. Question
1 points
A Cistern is two-fifth full. Pipe A can fill a tank in 10 minutes and pipe B can empty it in
6 minutes. If both the pipes are open,how long will it take to empty or fill the tank completely?
Correct
pipe B is faster than pipe A and so,the tank will
be emptied.
part to be emptied = 2/5
part emptied by (A+B) in 1 minute= (1/6 – 1/10)
= 1/15
1/15 : 2/5 :: 1: x
2/5 * 15 = 6 minutes.
Incorrect
pipe B is faster than pipe A and so,the tank will
be emptied.
part to be emptied = 2/5
part emptied by (A+B) in 1 minute= (1/6 – 1/10)
= 1/15
1/15 : 2/5 :: 1: x
2/5 * 15 = 6 minutes.
Question 14 of 25
14. Question
1 points
If a pipe A can fill a tank 3 times faster than pipe B. If both the pipes can fill the tank
in 32 minutes, then the slower pipe alone will be able to fill the tank in?
Correct
Time is taken by pipe A = x
Time is taken by pipe B = x/3
1/x + 3/x = 1/32
x = 128 minutes
Incorrect
Time is taken by pipe A = x
Time is taken by pipe B = x/3
1/x + 3/x = 1/32
x = 128 minutes
Question 15 of 25
15. Question
1 points
A large cistern can be filled by two pipes P and Q in 15 minutes and 20 minutes
respectively. How many minutes will it take to fill the Cistern from an empty state if Q is
used for half the time and P and Q fill it together for the other half?
Correct
Part filled by P and Q = 1/15 + 1/20 = 7/60
Part filled by Q = 1/20
x/2(7/60 + 1/20) = 12 minutes
Incorrect
Part filled by P and Q = 1/15 + 1/20 = 7/60
Part filled by Q = 1/20
x/2(7/60 + 1/20) = 12 minutes
Question 16 of 25
16. Question
1 points
A pipe can fill a cistern in 16 hours. After half the tank is filled, three more similar taps
are opened. What is the total time taken to fill the cistern completely?
Correct
In One hour pipe can fill = 1/16
Time is taken to fill half of the tank = 1/2 * 16 =8 hours
Part filled by four pipes in one hour = (8*1/16) =1/2
Required Remaining Part = 1/2
Total time = 8 + 1 = 9
Incorrect
In One hour pipe can fill = 1/16
Time is taken to fill half of the tank = 1/2 * 16 =8 hours
Part filled by four pipes in one hour = (8*1/16) =1/2
Required Remaining Part = 1/2
Total time = 8 + 1 = 9
Question 17 of 25
17. Question
1 points
Two pipes P and Q are opened together to fill a tank. Both the pipes fill the tank in time
“x” If Q separately took 25 minutes more time than “x” to fill the tank and Q took 49
minutes more time than “x” to fill the tank, then find out the value of x?
Correct
Time is taken to fill the tank by both Pipes x= √a*b
x = √25*49 = 5 * 7 = 35
Incorrect
Time is taken to fill the tank by both Pipes x= √a*b
x = √25*49 = 5 * 7 = 35
Question 18 of 25
18. Question
1 points
Three taps P, Q and R can fill a tank in 12, 15 and 20 hours respectively. If P is open all
the time and Q, R are open for one hour each alternatively, the tank will be full in
Correct
(P + Q)’s 1 hour work = 1/12 + 1/15 = 3/20
(P + R)’s 1 hour work = 1/12 + 1/20 = 2/15
For 2 hrs = (3/20 + 2/15) = 17/60
For 6 hrs = (3*17/60) = 17/20
Remaining Part = 1 – 17/20 = 3/20 filled by P
and Q in 1 hour
Incorrect
(P + Q)’s 1 hour work = 1/12 + 1/15 = 3/20
(P + R)’s 1 hour work = 1/12 + 1/20 = 2/15
For 2 hrs = (3/20 + 2/15) = 17/60
For 6 hrs = (3*17/60) = 17/20
Remaining Part = 1 – 17/20 = 3/20 filled by P
and Q in 1 hour
Question 19 of 25
19. Question
1 points
Pipe A fills a tank in 30 minutes. Pipe B can fill the same tank 5 times as fast as pipe
A. If both the pipes were kept open when the tank is empty, how much time will it take for the tank to overflow?
Correct
Total Capacity = 90L.
Tank filled in 1 minute by A = 3L
Tank filled in 1 minute by B = 15L
The capacity of the tank filled with both A and
B in 1 minute = 18L.
overflow = 90/18 = 5 minutes.
Incorrect
Total Capacity = 90L.
Tank filled in 1 minute by A = 3L
Tank filled in 1 minute by B = 15L
The capacity of the tank filled with both A and
B in 1 minute = 18L.
overflow = 90/18 = 5 minutes.
Question 20 of 25
20. Question
1 points
Two pipes P and Q can fill a cistern in 10 hours and 20 hours respectively. If they are
opened simultaneously. Sometimes later, tap Q was closed, then it takes total 5 hours to fill up the whole tank. After how many hours Q was closed?
Correct
Pipe P Efficiency = 100/10 = 10%
Pipe Q Efficiency = 100/20 = 5%
Net Efficiency = 15%
15x + 10(5-x) = 100
x = 10
Incorrect
Pipe P Efficiency = 100/10 = 10%
Pipe Q Efficiency = 100/20 = 5%
Net Efficiency = 15%
15x + 10(5-x) = 100
x = 10
Question 21 of 25
21. Question
1 points
If a pipe A can fill a tank 3 times faster than pipe B and takes 32 minutes less than pipe B
to fill the tank. If both the pipes are opened simultaneously, then find the time taken to fill the tank?
Correct
3x – x = 32
x = 16
1/16 + 1/48 = 4/48
Time taken to fill the tank = 48/4 = 12 minutes
Incorrect
3x – x = 32
x = 16
1/16 + 1/48 = 4/48
Time taken to fill the tank = 48/4 = 12 minutes
Question 22 of 25
22. Question
1 points
Two pipes P and Q can fill a tank in 24 minutes and 27 minutes respectively. If both
the pipes are opened simultaneously, after how much time should B be closed so that the
tank is full in 8 minutes?
Correct
Required time = y(1-(t/x)) = 27(1-(8/24))= 18 minutes
Incorrect
Required time = y(1-(t/x)) = 27(1-(8/24))= 18 minutes
Question 23 of 25
23. Question
1 points
A full tank gets emptied in 8 minutes due to the presence of a leak in it. On opening a
tap which can fill the tank at the rate of 9 L/min, the tank get emptied in 12 min. Find
the capacity of a tank?
Correct
a = 8; b = 9; C = 12
Capacity of a tank = a*b*c/c-a = 8*9*12/4 = 216 Litre.
Incorrect
a = 8; b = 9; C = 12
Capacity of a tank = a*b*c/c-a = 8*9*12/4 = 216 Litre.
Question 24 of 25
24. Question
1 points
If a pipe A can fill a tank 3 times faster than pipe B. If both the pipes can fill the tank
in 42 minutes, then the slower pipe alone will be able to fill the tank in?
Correct
Time is taken by pipe A = x
Time is taken by pipe B = x/3
1/x + 3/x = 1/42
x = 168 minutes
Incorrect
Time is taken by pipe A = x
Time is taken by pipe B = x/3
1/x + 3/x = 1/42
x = 168 minutes
Question 25 of 25
25. Question
1 points
A large cistern can be filled by two pipes P and Q in 15 minutes and 10 minutes
respectively. How many minutes will it take to fill the Cistern from an empty state if Q is
used for half the time and P and Q fill it together for the other half?
Correct
Part filled by P and Q = 1/15 + 1/10 = 1/6
Part filled by Q = 1/10
x/2(1/6 + 1/10) = 2/15 = 15/2 = 7.5 minutes
Incorrect
Part filled by P and Q = 1/15 + 1/10 = 1/6
Part filled by Q = 1/10
x/2(1/6 + 1/10) = 2/15 = 15/2 = 7.5 minutes