QUANT QUIZ-19 BASED ON
PIPE AND CISTERN
1. A cistern has 3
pipes, A, B and C .A and B can fill it in 2 and 3 hrs. respectively. C is a
waste pipe. If all the 3 pipes be opened at once, 7/24 of the cistern will be
filled up in 30 minutes. In what time can C empty the full cistern:
a. 3 hr
b. 4 hr
c. 5 hr
d. 6 hr
2. In what time would a
cistern be filled by three pipes whose diameters are 1 cm, 2 cm, 3 cm running
together, when the largest alone fill it in 42 minutes, the amount of water
flowing in by each pipe being proportional to the square of its diameter:
a. 27 min
b. 36 min
c. 18 min
d. 24 min
3. In what time would a
cistern be filled by three pipes whose diameters are 1 cm, 2 cm, 4 cm running
together, when the largest alone fill it in
hrs, the amount of water flowing in by each
pipe being proportional to the square of its diameter:
a. 38 min
b. 42 min
c. 44 min
d. 48 min
4. A cistern can be
filled by two pipes in 30 and 40 minutes respectively. Both the pipes were
opened at once, but after some time the first was shut up, and the cistern was
filled in 10 minutes more. How long after the pipes had been opened was the
pipe shut up:
a. 90/11 min
b. 90/7 min
c. 90/13 min
d. 45/2 min
5. Two pipes can fill a
cistern in 30 and 15 hrs respectively. The pipes are opened simultaneously and
it is found that due to leakage in the bottom, 5 hrs extra are taken for the
cistern to be filled up. If the cistern is full, in what time would the leak
empty it:
a. 60 hrs
b. 45 hrs
c. 35 hrs
d. 30 hrs
6. 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 lts of water per minute. Find the
capacity of the tank.
a. 48 lts
b. 36 lts
c. 24 lts
d. 16 lts
7. A cistern has a leak which would empty it
in 8 hrs. A tap is turned on which admits 4 lts per minute into the cistern,
and it is now emptied in 16 hrs. How many lts does the cistern hold:
a. 3840 lts
b. 2840 lts
c. 3880 lts
d. none of these
8. One filling pipe A
is 6 times faster than second filling pipe B. If A can fill a cistern in 28
minutes, then find the time when the cistern will be full if both fill pipes
are opened together.
a. 20 min
b. 24 min
c. 18 min
d. 12 min
9. One fill pipe A
takes 4 minutes more to fill the cistern than two fill pipes A and B opened
together to fill it. Second fill pipe B takes 9 minutes more to fill cistern
than two fill pipes A and B opened together to fill it. When will the cistern
be full if both pipes are opened simultaneously.
a. 4 min
b. 6 min
c. 5 min
d. none of these
10. Two fill pipes A
and B can fill a cistern in 12 and 16 minutes respectively. Both fill pipes are
opened together, but 4 minutes before the cistern is full, one pipe A, is
closed. How much time will the cistern take to fill.
a. 9/1/7 min
b. 8/1/7 min
c. 9/2/7 min
d. none of these
ANSWERS
1.B, 2.A, 3.D, 4.B, 5.D, 6.C, 7.A, 8.B, 9.B, 10.A,
