Practise 10
Practise 10
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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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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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
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
both the pipes per hour leak out. What is (c) 14 hrs
the total time taken to fill the tank? (d) 20 hrs
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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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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(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
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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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: