1. (i) A pipe can fill a tank
in 10 hours. Find the part of tank filled in one hour. [Ans. (b) 1/10]
(a) 1/5 (b) 1/10 (c) 1/12
(d) 3/10 (e) none of these
(ii) A pipe can fill a
cistern in 33 hours. Find the time in which 1/11 part of the cistern will be
filled. [Ans. (a) 3 hours]
(a)3 hours (b) 2 hours (c)11
hours (d) 4 hours (e)none of these
(iii) A pipe can empty a tank
in 27 minutes. Find the time in which 2/3 part of the tank will be emptied. [Ans.(c)18minutes]
(a) 15 min. (b) 20 min. (c)
18 min. (d) 27min. (e)none of these
2. (i) A fill pipe can fill
1/5 of cistern in 15 minutes. In how many minutes, it can fill 3/5 of the
cistern. [Ans. (d)45 min.]
(a) 5 min. (b) 20 min. (c)
225 min. (d) 45 min. (e) none
(ii) An empty pipe can empty
2/3 of cistern in 8 minutes. In 12 minutes what part of cistern will be
emptied? [Ans. (b) emptied completely]
(a) 1/5 of cistern (b) emptied completely (c) 1/2 of
cistern (d) 1/3 of cistern (e) none of these
(iii) An empty pipe can empty
1/3 of cistern in 3 minutes. In 7.5 minutes what part of cistern will be
emptied? [Ans. (e)
none of these (5/6)]
(a) 1/6 (b) 1/12
(c) 4/12 (d) 5/12 (e)
none of these
3. (i) 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? [Ans. (d) 20 hours]
(a) 30 hours (b) 24 hours
(c) 25 hours (d) 20 hours (e) none
(ii) A pipe can empty a tank
in 9 hours and another pipe can empty it in 6 hours. If both the pipes are
opened simultaneously, find the time in which a full tank is emptied. [Ans.
(e) none of these (3.6 hours)]
(a) 3 hours (b) 3.5 hours
(c) 4.6 hours (d) 15 hours (e) none
(iii) Two pipes A and B can fill a tank in 30 hours and 15 hours
respectively. If both the pipes are opened simultaneously, how much time will
be taken to fill the tank? [Ans. (d) 10 hours]
(a) 12 hours (b) 14 hours
(c) 5 hours (d) 15 hours (e) none
4. (i) If two pipes function
simultaneously, the reservoir is filled in 12 hours. One pipe fills the
reservoir 10 hours faster than the other. How many hours does the faster pipe
take to fill the reservoir? [Ans. (a) 20 hours.]
(a) 20 hrs. (b) 10
hrs. (c) 25 hrs. (d) 30 hrs. (e) None
(ii) If two pipes function simultaneously, the
reservoir is filled in 6 hours. One pipe fills the reservoir 5 hours faster
than the other. How many hours does the faster pipe take to fill the
reservoir? [Ans. (b) 10 hours.]
(a) 20 hrs. (b) 10
hrs. (c) 15 hrs. (d) 12 hrs. (e) None
(iii)
If two pipes function simultaneously, the reservoir is filled in 18 hours. One
pipe fills the reservoir 15 hours faster than the other. How many hours does
the faster pipe take to fill the reservoir? [Ans. (b) 30 hours.]
(a) 60 hrs. (b) 30
hrs. (c) 40 hrs. (d) 45 hrs. (e) None
5. (i) A pipe can fill a tank
in 10 hours and another pipe can empty it in 12 hours. If both the pipes are
opened, find the time in which tank is filled. [Ans. (d) 60 hours]
(a) 30 hours (b) 80 hours (c) 75 hours (d) 60 hours (e) none of these
(ii) A water tank is 2/5th
full. Pipe A can fill the tank in 10 minutes and the 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? [Ans. (b) 6 minutes to empty]
(a) 6 minutes to fill (b) 6 minutes to empty (c) 9 minutes to empty
(d) 9 minutes to fill (e) none
(iii) A tap can fill a
cistern in 8 hours and another can empty it in 16 hours. If both the taps are
opened simultaneously, the time (in hours) to fill the tank is: [Ans.
(e) none of these (16)]
(a) 15 (b) 10 (c) 24 (d) 8 (e) none of these
(iv) A tap can fill a tank in
25 minutes and another can empty it in 50 minutes. Find whether the tank will
be filled up or emptied and in how many minutes? [SBI Bank PO Exam, 85]
(a) tank is emptied in 20
minutes (b) tank is filled up in 20
minutes (c) tank is emptied in 25
minutes (d) tank is filled up in 50 minutes (e) none of these
6. (i) A pipe can fill a tank
in 15 minutes. Due to a leak in the bottom, it is filled in 20 minutes. If the
tank is full, how much time will the leak take to empty it? [Ans. (c) 60 minutes]
(a) 55 minutes (b) 90 minutes (c) 60 minutes (d) 75 minutes
(e)
none of these
(ii) A cistern is normally
filled in 8 hours but takes 2 hours longer to fill because of a leak in its
bottom. If the cistern is full, the leak will empty it in: [Railways,
91] [Ans.(d)40 hrs]
(a) 30 hours (b) 50 hours
(c) 45 hours (d) 40 hours (e) none
(iii) There is a leak in the
bottom of a cistern. When the cistern is thoroughly repaired, it would be
filled in 8 hours. It now takes 12 hours longer. If the cistern is full, how
long would the leak take to empty the cistern? [Ans. (d) 24 hours]
(a) 30 hours (b) 20 hours
(c) 25 hours (d) 24 hour (e) none
(iv) There is a leak in the
bottom of a cistern. When the cistern is thoroughly repaired, it would be
filled in 3 ½ hrs. It now takes half an hour longer. If the cistern is full,
how long would the leak take to empty the cistern? [Ans. (a) 28 hrs.]
(a) 28 hrs (b) 27
hrs (c) 32 hrs (d) 24 hrs (e) none
7. (i) A cistern is normally
filled in 8 hrs but takes 2 hrs longer to fill because of a leak in its bottom.
If the cistern is full, the leak will empty it in ____hrs. [Ans.
(d) 40 hours.]
(a) 36 hrs. (b) 30
hrs. (c) 35 hrs. (d) 40 hrs. (e) None
(ii) A cistern is normally
filled in 4 hrs but takes 1 hr longer to fill because of a leak in its bottom.
If the cistern is full, the leak will empty it in ____hrs. [Ans.
(b) 20 hours.]
(a) 10 hrs. (b) 20
hrs. (c) 15 hrs. (d) 12 hrs. (e) None
(iii) A cistern is normally
filled in 6 hrs but takes 3 hrs longer to fill because of a leak in its bottom.
If the cistern is full, the leak will empty it in ____hrs. [Ans.
(b) 18 hours.]
(a) 24 hrs. (b) 18
hrs. (c) 30 hrs. (d) 21 hrs. (e) None
8. (i) If three taps are
opened together, a tank is filled in 12 hrs. One of the taps can fill it in 10
hrs and another in 15 hrs. How does the third tape work? [Ans. (a) 12 hours.]
(a) 12 hrs. (b) 10
hrs. (c) 15 hrs. (d) 20 hrs. (e) None
(ii) If three taps are opened
together, a tank is filled in 6 hrs. One of the taps can fill it in 5 hrs and
another in 7 ½ hrs. How does the third tape work? [Ans.
(c) 6 hours, waste pipe]
(a) 6 hrs, fill pipe (b) 8 hrs, waste pipe (c) 6 hrs, waste pipe (d) 8 hrs, fill pipe (e) None of these
(iii) If three taps are
opened together, a tank is filled in 24 hrs. One of the taps can fill it in 20
hrs and another in 30 hrs. How does the third tape work? [Ans.
(a) 24 hours, waste pipe]
(a) 24 hrs, waste pipe (b) 20
hrs, waste pipe (c) 20 hrs, fill pipe
(d) 24 hrs, fill pipe (e) None
of these
9. (i) Two pipes A and B can
separately fill in 15 and 10 minutes respectively and a waste pipe C can carry
off 7 litres per minute. If all the pipes are opened when the cistern is full,
it is emptied in 2 hrs. How many litres does the cistern hold? [Ans. (c) 40 litres.]
(a) 32 litres. (b) 22 litres. (c) 40 litres. (d) 35 litres. (e) None
(ii) Two pipes A and B can
separately fill in 30 and 20 minutes respectively and a waste pipe C can carry
off 6 litres per minute. If all the pipes are opened when the cistern is full,
it is emptied in 60 minutes. How many litres does the cistern hold? [Ans. (c) 60 litres.]
(a) 10 litres. (b) 30 litres. (c) 60 litres. (d) 45 litres. (e) None
(iii) Two pipes A and B can
separately fill in 15 and 10 minutes respectively and a waste pipe C can carry
off 3litres per minute. If all the pipes are opened when the cistern is full,
it is emptied in 30 minutes. How many litres does the cistern hold? [Ans. (a) 15 litres.]
(a) 15 litres. (b) 30 litres. (c) 25 litres. (d) 45 litres. (e) None
10. (i) There are 5 filling
pipes, each capable of filling a cistern alone in 12 minutes, and 3 emptying
pipes each capable of emptying a cistern
alone in 16 minutes. All pipes are opened together and as a result tank fills
11 litres of water per minute. Find the capacity of the tank. [Ans. (c) 48
litres.]
(a) 32 litres. (b) 22 litres. (c) 48 litres. (d) 35 litres. (e) None
(ii) There are 10 filling
pipes, each capable of filling a cistern alone in 6 minutes, and 6 emptying
pipes each capable of emptying a cistern
alone in 8 minutes. All pipes are opened together and as a result tank fills 22
litres of water per minute. Find the capacity of the tank. Ans. (c) 24 litres.]
(a) 48 litres. (b) 36 litres. (c) 24 litres. (d) 16 litres. (e) None
(iii) There are 3 filling
pipes, each capable of filling a cistern alone in 8 minutes, and 2 emptying
pipes each capable of emptying a cistern
alone in 10 minutes. All pipes are opened together and as a result tank fills 7
litres of water per minute. Find the capacity of the tank. [Ans.(c)40litres.]
(a) 20 litres. (b) 25 litres. (c) 40 litres. (d) 30 litres. (e) None
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