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Practise 10

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0% found this document useful (0 votes)
25 views50 pages

Practise 10

Uploaded by

nilotpal ghosh
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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com Contact us: 7814622609

PIPE AND CISTERN


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Q1. If a pipe fills a tank in 6 h, then what Q5. A pipe can fill a tank in 10 h, while an
part of the tank will the pipe fill in 1 h? another 12. pipe can empty it in6h. Find
1 the time taken to empty the tank, when
(a) both the pipes are opened simultaneously?
3
1
(b)
6 (a) 11h
1
(c) (b) 15h
4
1
(d) (c) 18h
5
(d) 16h
𝟏
Q2.An inlet pipe fills part of a tank in 1 h.
𝟖 Q6.Three taps are fitted in a cistern. The
How much time will the pipe take to fill the empty cistern is filled by the first and the
empty tank? second taps in 3 and 4h, respectively. The
(a) 4h full cistern is emptied by the third tap in 5
(b) 2h h. If all three taps are opened
(c) 6h simultaneously, the empty cistern will be
(d) 8h filled up in?
14
Q3. An outlet pipe can empty a cistern in 3 (a) 1 h
23
h. In what time will the pipe empty two- 14
(b) 2 h
23
third part of the cistern?
(c) 2 h 40 min
(a) 4h (d) 1 h 56 min
(b) 2h
Q7.Pipe A can fill a tank in 30 min, while
(c) 3h
pipe B can fill the same tank in 10 min and
(d) 5h
pipe C can empty the full tank in 40 min. If
Q4. There are two taps A and B to fill up a all the pipes are opened together, 14. How
water tank. The tank can be filled in 40 much time will be needed to make the
min, if both taps are on. The same tank can tank full?
be filled in 60 min, if tap A alone is on. 11. 3
How much time will tap B alone take, to fill (a) 9 h
13
4
up the same tank? (b) 9 h
13
7
(a) 64 min (c) 9 h
13
9
(b) 80 min (d) 9 h
13
(c) 96 min
(d) 120 min
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Q11. Inlet A is four times faster than inlet B


to fill a tank. If A alone can fill it in 15 min,
Q8. Three taps A, B and C together can fill
how long will it take if both the pipes are
an empty cistern in 10 min. The tap A
opened together?
alone can fill it in 30 min and the tap B
alone can fill it in 40 min. How long will the (a) 10 min
tap C alone take to fill it? (b) 12 min
(c) 15 min
(a) 16 min
(d) 14 min
(b) 24 min
(c) 32 min Q12. There are two inlets A and B
(d) 40 min connected to a tank. A and B can fill the
tank in 16 h and 10 h, respectively. If both
Q9.Two pipes A and B can fill a tank in 1 h
the pipes are opened alternately for 1 h,
and 75 min, respectively. There is also an
starting from A, then how much time will
outlet C. If all the three pipes are opened
the tank take to be filled?
together. The tank is full in 50 min. How
1
much time will be taken by C to empty the (a) 13 h
4
full tank? 6
(b) 11 h
8
(a) 100 min (c) 12 h
2
5
(b) 150 min 1
(c) 200 min (d) 12 h
4
(d) 125 min Q13. A pipe can empty a cistern in 27
𝟐
Q10. A, B and Care three pipes connected hours. Find the time in which part of the
𝟑
to a tank. A and B together fill the tank in 6 cistern will be emptied?
h, B and C together fill the tank in 10 h and
A and C together fill the tank in 12 h. In (a) 9 hours
how much time A, B and C fill up the tank (b) 12 hours
together? (c) 15 hours
(d) 18 hours
(a) 9 h
𝟐
3
(b) 5 h Q14. A water tank is rd full. Pipe A can fill
𝟑
7
2 the tank in 10 minutes and the pipe B can
(c) 5 h
7 empty it in 6 minutes. If both the pipes are
5
(d) 5 h open, how long will it take to empty or fill
7
the tank completely?
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(a) 6 minutes to empty Q18. 12 pumps working 6 hours a day can


(b) 6 minutes to fill empty a completely filled reservoir in 15
(c) 9minutes to empty days, How many such pumps working 9
(d) 10 minutes to empty hours a day will empty the same reservoir
in 12 days?
Q15. A tap can fill a cistern in 8 hours and
another can empty it in 16 hours. If both (a) 15
the taps are opened Simultaneously, the (b) 9
time (in hours) to fill the tank is? (c) 10
(d) 12
(a) 8
(b) 10 Q19. A tank has a leak which would empty
(c) 16 it in 8 hrs. A tap is turned on which admits
(d) 24 6 litres a minutes into the tank, and it is
now emptied in 12hrs. How many litres
Q16. A pipe can empty a tank in 15 hrs and
does the tank hold?
another pipe can empty it in 10 hours. If
both the pipes are opened Simultaneously, (a) 8260 litres
find the time in which a full tank is (b) 8450 litres
emptied? (c) 8640 1litres
(d) 8660 1litres
(a) 8 hrs
(b) 6 hrs Q20. A tap can fill the cistern in 8 hours
(c) 4 hrs and another can empty it in 16 hours. If
(d) 5 hrs both the taps are opened simultaneously,
the time (in hours) to fill the tank is?
Q17. Two pipes A and B can fill a cistern in
20 minutes and 25 minutes respectively. (a) 16 hrs
Both are opened together, but after 5 (b) 8 hrs
minutes, B is turned off. How much longer (c) 10 hrs
will the cistern take to fill? (d) 12 hrs

(a) 16 minutes Q21. A pipe can fill a tank with water in 5


(b) 18 minutes hours and an another pipe can empty the
(c) 11 minutes same tank in 4 hours. If the tank is
(d) C.N.D. completely filled and both the taps are
opened together than the tank will be
empty in following time (hour)?
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(a) 9 (c) 21 min


(b) 18 (d) 9 min
(c) 20
1 Q25. A big tanker can be filled by two pipes
(d) 20 A and B in 60 and 40 min respectively.
2

Q22. Two pipes can fill a tank respectively Then what time it will take to fill an empty
in 15 and 12 hours while a third pipe can tanker if tap B is used half of time and tap
empty it in 20 hours. If the tank is empty A and B together are used rest half of
and all three pipes are opened together time?
then in how much time will it take to fill (a) 24 min
the tank completely? (b) 30 min
(a) 10 hours (c) 18 min
(b) 5 hours (d) 32 min
(c) 15 hours Q26. Two taps A and B can fill an oil tank in
(d) 20 hours 15 min and 18 min respectively while a
Q23. 2 pipes A and B can fill a tank third tap is used to empty the tank. The
separately in 60 min and 70 min third tap is opened after 6 min of opening
𝟏
respectively. There is a third pipe attached of tap A and B. If the tank empties in 16
𝟐
to the bottom of the tank to empty it. The min after opening the third tap then in
tank is filled in 60 min when all three pipes how much time the third tap can empty
are opened, In how much time (min) the the full tank?
third pipe alone take to fill the tank?
(a) 6 min
(a) 110 min (b) 12 min
(b) 70 min (c) 10 min
(c) 120 min (d) 15 min
(d) 90 min
Q27.Three pipes A, Band C can fill a tank in
Q24. Two pipes A and B can fill a tank in 6 hours. After running them together for
𝟏
37 min and 45 min respectively. If both two hours the tap C is closed and A and B
𝟐
the pipes are opened together then after fills it completely in 7 hours. How much
how much time should B be closed so that time would C take to fill the tank alone?
the tank is full in 30 minutes? (a) 7 hours
(a) 15 min (b) 10.5 hours
(b) 10 min (c) 14 hours
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(d) 21 hours simultaneously and it is found that due to


leakage in the bottom, it took 92 min more
Q28. A water tank has three taps A, B, C.
to fill the cistern. When the cistern is full,
Tap A, when opened, can fill the water
in what time will the leak empty it?
tank alone in 4 hours. Tap B, when opened,
can filled the water tank alone in 6 hours 15
(a) 43 h
23
and tap C, when opened, can empty the 17
(b) 43 h
water tank alone in 3 hours, If taps A, B 23
13
and Care opened simultaneously how long (c) 43 h
23
will it take to fill the tank completely? 19
(d) 43 h
23
(a) 10 hours
Q32.A pipe P can fill a tank in 12 min and
(b) 8 hours another pipe R can fill it in 15 min. But, the
(c) 18 hours 3rd pipe M can empty it in 6 min. The 1st
(d) 12 hours
two pipes P and R are kept open for 5 min
Q29. A water tank has two taps A and B. A in the beginning and then the 3rd pipe is
can fill it in 30 hours, and tap B empty it in also opened. In what time is the tank
5 hours. If Both the taps open emptied?
simultaneously the time required to empty (a) 30 min
tank?
(b) 25 min
(a) 20 hours (c) 45 min
(b) 30 hours (d) 35 min
(c) 25 hours Q33.A tap having diameter 'd can empty a
(d) 35 hours
tank in 40 min. How long another tap
Q30. 18 pumps can fill reservoir of capacity having diameter '2d' take to0 empty the
1440 kiloliter many hours required to fill a same tank?
reservoir of capacity 1920 kiloliter by 8 (a) 5 min
pumps?
(b) 20 min
(a) 10 hours (c) 10 min
(b) 16 hours (d) 40 min
(c) 15 hours
Q34.If two pipes function together, the
(d) 20 hours
tank will be filled in 12 h. One pipe fills the
Q31. Two pipes can fill a cistern in 14 h and tank in 10 h faster than the other. How
16 h, respectively. The pipes are opened
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many hours does the faster pipe take to fill (b) 120 min
up the tank? (c) 167 min
(d) 185 min
(a) 20 h
(b) 60 h Q38.Two taps A and B can fill a tank in 25
(c) 25 h min and 20 min, respectively. But taps are
(d) 35 h not opened properly, so the taps A and B
𝟓 𝟐
Q35.Two pipes A and B can fill a cistern in allow th and rd part of water,
𝟔 𝟑
15 and 20 min, respectively. Both the pipes respectively. How long will they take to fill
are opened together, but after 2 min, pipe the tank?
A is turned off. What is the total time
(a) 12 min
required to fill the tank?
(b) 13 min
(a)
46
min (c) 14 min
3
52 (d) 15 min
(b) min
3
43 Q39.Three taps A, B and C fill a tank in 20
(c) min
3 min, 15 min and 12 min, respectively. If all
41
(d) min the taps are opened simultaneously, how
3
long will they take to fill 40% of the tank ?
Q36.Two pipes A and B can fill a tank in 24
and 32 min, respectively, If both the pipes (a) 1 min
are opened together, after how much time (b) 2 min
pipe B should be closed so that the tank is (c) 3 min
full in 9 min? (d) 4 min

(a) 40 min Q40. A pipe can fill a cistern in 4 min and


(b) 30 min another pipe can fill it in 5 min, but a third
(c) 10 min pipe can empty it in 2 min. The first two
(d) 20 min pipes are kept open for 2 min in the
beginning and then the third pipe is also
Q37.Two taps A and B can fill a tank in 20
opened. Time taken to empty the cistern
min and 30 min, respectively. An outlet
is?
pipe C can empty the full tank in 15 min. A,
B and C are opened alternatively, each for (a) 22 min
1 min. How long will the tank take to be (b) 20 min
filled? (c) 42 min
(d) 18 min
(a) 105 min
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Q41. Taps A, B and C attached with a tank pipe alone will fill the tank. If amount of
and velocity of water coming through them water flowing from each pipe being
are 42 L/h, 56 L/h and 48 L/h, respectively. proportional to square of its diameter?
A and B are inlets and C is outlet. If all the
(a) 26 minutes
taps are opened simultaneously, tank is
(b) 416 minutes
filled in 16 h. What is the capacity of the
(c) 24 minutes
tank?
(d) 312 minutes
(a) 2346 L
Q45.Two pipes A and B can fill a tank in 36
(b) 1600 L
hours and 45 hours respectively. If both
(c) 800 L
the pipes are opened simultaneously, how
(d) 960 L
much time will be taken to fill the tank?
Q42. A boy and girls together fill a cistern
(a) 10 hrs
with water. The boy pours 4 litres of water
(b) 15 hrs
every 3 minutes and the girl pours 3 litres
(c) 20 hrs
every 4 minutes. How much time will it
(d) 25 hrs
take to fill 100 litres of water in the
cistern? Q46. In what time would a cistern be filled
by three pipes whose diameters are 1 cm,
(a) 36 minutes
1 cm, 2 cm, running together, when the
(b) 42 minutes
largest alone will fill it in 61 minutes, the
(c) 48 minutes
amount of water flowing in by each pipe
(d) 44 minutes
being proportional to the square of its
Q43. A tap takes 36 hours extra to fill a diameter?
tank due to a leakage equivalent to half of
(a) 32 minutes
its inflow. The inlet pipe alone can fill the
(b) 34 minutes
tank in how many hours?
(c) 36 minutes
(a) 36 (d) 38 minutes
(b) 24
Q47. Two pipes can separately fill a tank in
(c) 30
20 hrs and 30 hrs respectively. Both the
(d) 18
pipes are opened to fill the tank but when
Q44. A tank be filled by three pipes whose 𝟏
the tank is full a leak develops in the tank
𝟑
diameter are 1 cm, 3 cm and 4 cm running 𝟏
through which of the water supplied by
together if all three pipes fill the tank in 16 𝟑

minutes. find out in what time the third


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both the pipes per hour leak out. What is (c) 14 hrs
the total time taken to fill the tank? (d) 20 hrs

(a) 14 hrs Q51.Three taps A, Band C can fill a tank in


(b) 12 hrs 12, 15 and 20 hours respectively. If A is
(c) 18 hrs open all the time and Band C are open for
(d) 16 hrs one hour each alternatively, the tank will
be full in:
Q48. A cistern can be filled by two pipes A
and B in 4 hours and 6 hours respectively. (a) 6 hours
1
When full, the tank can be emptied by a (b) 6 hours
2
third pipe C in 8 hours. If all the taps be (c) 7 hours
turned on at the same time, the cistern will 1
(d) 7 hours
be full in? 2

(a) 25 hrs Q52. A pipe of diameter d' can drain a


(b) 3 hrs certain water tank in 40 minutes. The time
(c) 5 hrs taken by a pipe of diameter ‘2d' for doing
(d) 4hrs the same job is:

Q49. If two pipes function simultaneously, (a) 5 minutes


the reservoir will be filled in 6 hours. One (b) 10 minutes
pipe fills the reservoir 5 hours faster than (c) 20 minutes
the other. How many hours does the faster (d) 80 minutes
pipe take to fill the reservoir? Q53.A pipe can fill a tank with water in3
(a) 8 hrs hours. Due to a leakage in bottom, it takes
𝟏
(b) 10 hrs 3 hours to fill it. In what time the leak will
𝟐
(c) 12 hrs empty the fully filled tank?
(d) C.N.D.
(a) 12 hours
Q50. Three pipes A, B and C can fill cistern (b) 21 hours
in 6 hrs. After working together for 2 1
(c) 6 hours
2
hours, C is closed and A and B fill the 1
(d) 10 hours
cistern in 8 hrs. Then find the time in which 2

the cistern can be filled by pipe C? Q54.Two pipes A and B can separately fill a
(a) 6 hrs cistern in 60 minutes and 75 minutes
(b) 12 hrs respectively. There is a third Pipe in the
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bottom of the cistern to empty it. If all the (b) 10 hours


three pipes are simultaneously opened, (c) 3 hours
then the Cistern is full in 50 minutes. In (d) 6 hours
how much time the third pipe alone can
Q58.A tank is fitted with two taps. The first
empty the cistern?
tap can fill the tank completely in 45
(a) 110 minutes minutes and the second tap can empty the
(b) 100 minutes full tank in one hour. If both the taps are
(c) 120 minutes opened alternately for one minute, then in
(d) 90 minutes how many hours the empty tank will be
filled completely?
Q55.A tap can fill a tank in 6 hours. After
half the tank is tilled, three more similar (a) 2 hours 55 minutes
taps are opened. What is the total time (b) 3 hours 40 minutes
taken to fill the tank completely? (c) 4 hours 48 minutes
(d) 5 hours 53 minutes
(a) 4 hrs
(b) 4 hrs 15 min. Q59.Two pipes can fill a tank with water in
(c) 3 hrs 15 min. 15 and 12 hours respectively and a third
(d) 3 hrs 45 min. pipe can empty it in 4 hours. If the pipes be
opened in order at 8, 9 and 11 a.m.
Q56.One pipe can fill a tank three times as
respectively, the tank will be emptied at
fast as another pipe. If together the two
pipes can fill the tank in 36 minutes, the (a) 11:40 a.m.
slower pipe alone will be able to fill tank in (b) 12:40 p.m.
(c) 1:40 p.m.
(a) 81 minutes
(d) 2:40 p.m.
(b) 108 minutes
(c) 144 minutes Q60. A pipe can fill a tank 'x’ hours and
(d) 192 minutes another pipe can empty it in 'y’ (y> x)
hours. If both the pipes are open. In how
Q57.A cistern has two pipes. One can fill it
many hours will the tank be filled?
with water in 8 hours and other can empty
it in 5 hours. In how many hours will the (a) (x-y) hours
cistern be emptied if both the pipes are (b) (y – x) hours
xy
opened together when of the cistern is (c) hours
x−y
already full of water? xy
(d) hours
y−x
(a) 35 hours
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Q61. Two pipes A and B alone can fill an pipe B should be closed so that tank is full
empty tank in 20 min and 24 min in 18 minutes?
respectively. Two pipes arc opened
(a) 5 Minutes
simultaneously, after some time pipe B is
(b) 12 Minutes
closed. In how many minutes after pipe B
(c) 6 Minutes
is closed if the tank was filled in 15
(d) 8 Minutes
minutes?
Q65. Two pipes M and N can fill a cistern in
(a) 5 min
24 min and 32 min respectively. If both
(b) 6 min
pipes arc opened together, then after how
(c) 4 min
many minutes N should be closed so that
(d) 4.5 min
the tank is full in 18| minutes?
Q62. Two inlet pipes can fill an empty tank
(a) 6
in 12 and 15 hours and one outlet pipe can
(b) 21
empty the tank in 20 hours. In how many
(c) 8
hours required filling the full tank if all the
(d) 10
pipes opened simultaneously?
Q66. Three pipes A, B, C can fill a cistern in
(a) 6
8, 10, 12 hours respectively. If pipe A Is
(b) 14
kept open all the time and pipe B and C is
(c) 10
opened alternatively tor hour then find in
(d) 12
how many hour the tank will be filled?
Q63. Pipe P and Q fill the tank in 15 min
(a) 27/4 hours
and 30 min respectively. If both the pipes
(b) 32/5
are opened, after how much time Q should
(c) 48/7
be closed so as to fill the tank in 11 min?
(d) 23/2 hours
(a) 8 min
Q67. Three pipes A, Y, Z can fill a tank in 5
(b) 12 min
hours. After working together for 2 hours,
(c) 6 min
Z is closed and X, Y can till the remaining
(d) 14 min
part in 4 hours. Find the number of hours
Q64. 2 pipes A and B can fill a tank in 24 taken by Z alone to fill the tank?
minutes and 32 minutes respectively while
(a) 18 hours
working alone. If both the pipes
(b) 20 hours
simultaneously then after how much time
(c) 15 hours
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(d) 10 hours leakage at the bottom of the tank. Find the


time taken by the leakage to empty the
Q68. Two pipe A and B can fill a tank in 18
tank if the tank is full?
minutes and 24 minutes respectively. Both
pipes are opened together and 3 minutes (a) 75/4 hours
before the tank is filled completely, pipe B (b) 61/5 hours
is closed. Calculate the total time required (c) 71/5 hours
to fill the tank? (d) 84/5 hours

(a) 9 4/7 min Q72. Two pipes P and Q can fill the tank
(b) 13 4/7 min within 12 hour and 18 hours respectively.
(c) 11 4/7 min An outlet pipe will empty the tank in 36
(d) 12 3/7 min hrs. If all three pipes opened how long it
will take to fill the tank?
Q69. Two pipes P and Q can fill a tank in 24
minutes and 27 minutes respectively. If (a) 10 hours
both the pipes arc opened simultaneously, (b) 9 hours
after how much time should Q be closed so (c) 8 hours
that the tank is full in 8 minutes? (d) 12 hours

(a) 14 minutes Q73.Two pipes A and B can separately fill a


(b) 12 minutes tank in 12 minutes and 15 minutes
(c) 15 minutes respectively. Both the pipes are opened
(d) 18 minutes together but 4 minutes after the start the
pipe A is turned off. How much time will it
Q70.There are two leakages in the bottom
take to fill the tank?
of the Cistern. Both together empty the
cistern in 20 hours. If the first leakage (a) 9 min
alone empties it in 40 hours, then in how (b) 10 min
many hours will the second leakage alone (c) 11 min
empty it? (d) 12 min

(a) 10 hours Q74. Three pipes can fill an empty tank in 4


(b) 40 hours hours. If there is leakage in the tank it
(c) 50 hours takes 1 hour more, then find the no of
(d) 30 hours hours required to empty the full tank by
leakage pipe alone?
Q71.A Tank can be filled within 7 hours
and it will take 12 hours when there is a (a) 12
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(b) 15 (d) 48 hours, 36 hours


(c) 24
Q78. An electric pump can fill a cistern in 6
(d) 20
hrs. Because of a leak in the cistern it took
Q75. Two filling tap can fill a dumper in 14 7 hrs to fill the cistern. If the cistern is full,
and 28 min respectively and when the how much time will the leak take to empty
waste tap is open, they can together fill it it?
in 35 min. The waste pipe can empty the
(a) 42 hrs
full dumper in-
(b) 24 hrs
(a) 152/9 mins (c) 32 hrs
(b) 137/7 mins (d) 16 hrs
(c) 60/9 mins
Q79. Two taps P and Q can separately fill a
(d) 140/11 mins
tank in 120 mins and 150 mins
Q76. Pipe A can fill an empty tank in 30 hrs respectively. There is a 3rd tap in the
while B can fill it in 45 hrs Pipe A and B are bottom of the tank to empty it. If all of the
opened and closed alternatively i.e. first 3 taps are simultaneously opened, and
pipe A is opened, then B, again A and then then the tank is full in 100 mins. In how
B and so on for 1 hr each time without any much time the 3" pipe alone can empty the
time lapse In how many hours the tank will tank?
be filled when it was empty initially?
(a) 100
(a) 48 (b) 200
(b) 60 (c) 300
(c) 35 (d) 400
(d) 36
Q80. If 4/5 part of a tank is filled by water
Q77. Two inlets Pipes P l and P2 can fill the in 1 minute then how much time will it
tank in 24 hours. If third pipe also opened take to fill the empty tank?
it will takes 16 hours to fill the tank. What
(a) 15 sec
is efficiency of third pipe to fill the tank
(b) 75 sec
and also find the time taken by P2 alone to
(c) 62 sec
fill the tank, if it is 100% more efficient
(d) 12 sec
than P1 means?
Q81. Pipe A and B can fill an empty tank in
(a) 24 hours, 18 hours
8 hours. Pipe B and C together can fill the
(b) 18 hours, 20 hours
same tank in 9 3/5 hours. Pipe A opened
(c) 36 hours, 12 hours
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for first one hour, Pipe B opened for was 50% full pipe A was closed then find
second one hour and pipe C opened for the additional time required by B to fill the
third one hour and this process is repeated tank?
until the tank filled completely. How many
(a) 31
hours required filling half of the tank if A is
(b) 28
twice efficient as B?
(c) 21
(a) 10 hrs (d) 9
(b) 12 hrs
Q85. Two pipes can fill a tank in 28 and 24
(c) 6 hrs
minutes respectively and a waste pipe can
(d) 8 hrs
empty 5 gallons per minute. All three pipes
Q82. Two inlet pipes can fill an empty tank working together can fill the tank in 16
in 24 min and 18 min and one outlet pipe minutes. How much time is taken by the
can empty the same tank in 36 min. Two waste pipe to empty 60% of the tank?
inlet pipes are opened simultaneously for 6
(a) 30.75
min and outlet pipe opened for 3 min. Find
(b) 40
the fraction of work left?
(c) 53
(a) 1/4 (d) 40.32
(b) 1/2
Q86. P,Q and R can fill the tank in 15, 18
(c) 1/3
and 20 min respectively. All three began to
(d) 2/3
fill the tank together but P and Q left 4 and
Q83. Pipe P takes x hours to fill an empty 5 min respectively before filling the tank In
tank. Pipe Q takes (x+10) hours to fill the how much time does R takes to fill the
same tank and R takes 10 hours to fill the tank?
same tank. All the pipes arc opened
(a) 8 30/31 min
simultaneously and fill 5 5/11 hours, then
(b) 9 30/33 min
find the efficiency ratio of P and Q?
(c) 7 26/33 min
(a) 2:3 (d) 6 26/3I min
(b) 1:2
Q87. Two inlet pipes A and B can fill a tank
(c) 2:1
in 30 minutes. If Pipe A runs 2 minute less,
(d) 3:2
then B takes 3 minutes more to fill the
Q84. Pipe A can fill a tank in 20 hours while tank. Then find out the time in which pipes
pipe B can fill a tank 30 hours. They were A and B alone can fill the tank?
used to fill a empty tank but when the tank
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(a) 30 min. 50 min (b) 3


(b) 50 min, 75 min (c) 5
(c) 60 min, 80 min (d) 4
(d) 40 min, 50 min
Q91. Two pipes X and Y arc fill a tank in 20
Q88. A barrel contains 56 litres of minutes and 25 minutes respectively. t
kerosene. It has two taps. One tap draws both the pipes are opened together and
500 ml every 6 minutes. After first 5 litres after 5 minutes pipe Y turns off. Then what
are drawn from the barrel, the second tap is the time required to fill the full tank?
also starts. It draws 1 litre in every 5
(a) 16 min
minutes. How many hours will be taken in
(b) 8 min
all to empty the tank?
(c) 11 min
(a) 7 hours (d) 5 min
(b) 4 hours
Q92. Pipe A can fill a tank in 15 minutes,
(c) 3 hours
pipe B can fill the same tank m 20 minutes
(d) 10.5 hours
and Pipe C can fill the same tank in 10
Q89. Pipe P and Q fill a tank in 10 min and minutes. Pipe D can empty a full tank in 5
20 min respectively. If both the pipes arc minutes. A and B are kept open for 5
opened, after how much time Q should be minutes then closed and at the same Lime
closed so as to fill the tank in 8 min? pipe C and pipe D are opened. In how
much time the tank will be empty?
(a) 4 min
(b) 6 min (a) 5(1/4) minutes
(c) 8 min (b) 5(5/6) minutes
(d) 7 min (c) 5(4/5) minutes
(d) 5(2/5) minutes
Q90. There is a Water Tank with a capacity
of 2400 litres and 10 pipes arc attached to Q93. Two pipes A and B are such that A fills
it. Some of these pipes fill the tank while the bucket in 27 minutes and B empties it
others empty the tank. Each pipe can fill or in 18 minutes. If pipe A is opened first and
empty the tank at the rate of 20 litres per after 9 minutes B is also opened, then in
minute. When all pipes arc opened, a half how much time will the bucket get empty?
filled tank gets completely filled in 30
(a) 40 minutes
minutes. How many pipes arc there those
(b) 30 minutes
will empty the tank?
(c) 36 minutes
(a) 6 (d) None of these
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Q94. Two pipes can fill a tank in 24 and 20 (a) 9 hrs


minutes respectively. A waste pipe is used (b) 7hrs
to empty the tank. All three pipes working (c) 11hrs
together can fill a tank in 14 minutes. How (d) 5hrs
much time is taken by the by the waste
Q98. Three vessels have capacity of 350ml,
pipe to empty the full tank?
500ml and 150ml.750 ml of water is
(a) 32 11/17 minutes poured into them so that the same fraction
(b) 49 5/17 minutes of each is filled. The volume filled in the
(c) 35 5/17 minutes largest beaker will be
(d) 49 7/17 minutes
(a) 375 ml
Q95. Two faucet P and Q can ill a tank in 10 (b) 250 ml
min and 20 min. respectively. A water (c) 425 ml
faucet R can empty the tank in 10 min. first (d) 165 ml
P and Q are opened. After 3 min, R is also
Q99. A water cistern's two-fifth part is full.
opened. In how much time, the tank is full?
Tap A can fill a cistern in 20 mins and tap D
(a) 17m empty it in 12mins. If both the taps are o
(b) 15m now long will take to empty or fill the
(c) 11m completely?
(d) 19m
(a) 10 mins
Q96. Water flows through a cylindrical (b) 12 mins
internal diameter 14cm at 4m per second. (c) 14 mins
If the faucet is always half full, then what is (d) 16 mins
the volume of water (in litres) discharged
Q100.Two tube A and B can fill a cistern in
in 20 faucet mins?
48 mins and 64 mins. If both the tubes are
(a) 73456 opened simultaneously, after how much
(b) 73920 time B should be closed so that the cistern
(c) 73720 is full in 36 minutes?
(d) 73880
(a) 20 mins
Q97. Three taps P,Q,R can fill a bunker in 3 (b) 16 mins
hrs. After working at it together for 1 hr, R (c) 22 mins
is closed and P,Q can fill the remaining part (d) 14 mins
in 3 hrs. The number of hrs taken by R
alone to fill the bunker?
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ANSWERS
ANSWER KEY

Q1.B

Q2.D

Q3.B

Q4.D
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Q5.B

Q6.B

Q7.A
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Q8.B

Q9.A

Q10.D

Q11.B
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Q12.C

Q13.D

Q14.D
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Q15.C

Q16.B

Q17.C
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Q18.C

Q19.C

Q20.A
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Q21.C

Q22.A

Q23.B

Q24.D
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Q25.B

Q26.A

Q27.C
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Q28.D

Q29.B

Q30.C
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Q31.D

Q32.C
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Q33.C

Q34.A

Q35.B

Q36.D
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Q37.C

Q38.D
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Q39.B

Q40.D

Q41.C
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Q42.C

Q43.A

Q44.A
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Q45.C

Q46.C

Q47.C
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Q48.B

Q49.B

Q50.B
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Q51.D

Q52.C
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Q53.D

Q54.D

Q55.D
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Q56.B

Q57.C
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Q58.B

Q59.D

Q60.A
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Q61. ANS B

Solution:

Q62. ANS C

Solution:

Q63. ANS A

Solution:

Q64. ANS D

Solution:
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Q65. ANS C

Solution:

Q66. ANS A

Solution:

Q67. ANS B

Solution:
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Q68. ANS C

Solution:

Q69. ANS D

Solution:

Q70. ANS B

Solution:
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Q71. ANS D

Solution:

Q72. ANS B

Solution:

Q73. ANS B

Solution:

Q74. ANS D

Solution:
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Q75. ANS D

Solution:

Q76. ANS D

Solution:

Q77. ANS D

Solution:

Q78. ANS A

Solution:
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Q79. ANS B

Solution:

Q80. ANS B

Solution:

Q81. ANS D

Solution:
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Q82. ANS B

Solution:

Q83. ANS D

Solution:

Q84. ANS D

Solution:
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Q85. ANS D

Solution:

Q86. ANS A

Solution:

Q87. ANS B

Solution:
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Q88. ANS B

Solution:

Q89. ANS A

Solution:
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Q90. ANS D

Solution:

Q91. ANS A

Solution:
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Q92. ANS B

Solution:

Q93. ANS D

Solution:

Q94. ANS D

Solution:
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Q95. ANS C

Solution:

Q96. ANS B

Solution:

Q97. ANS A

Solution:
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Q98. ANS A

Solution:

Q99. ANS B

Solution:
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Q100. ANS B

Solution:

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