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CAT Exam Model Paper 1 with solutions for free online practice
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© examsnet.com
Question : 95
Total: 100
A cylindrical overhead tank is filled by two pumps-P
‌
1
and P
‌
2
. P
‌
1
can fill the tank in 8 h while P
‌
2
can fill the tank in 12 h. There is a pipe P
‌
3
which can empty the tank in 8 hours. Both the pumps are opened simultaneously. The supervisor of the tank, before going out on a work, sets a timer to open P
‌
3
when the tank is half filled so that tank is exactly filled up by the time he is back. Due to technical fault P
‌
3
opens when the tank is one third filled. If the supervisor comes back as per the plan what per cent of the tank is still empty?
25% tank
12% tank
10% tank
None of these
Validate
Solution:
(c) P
‌
1
and P
‌
2
can fill the tank in
24
5
h [∵in 1 h these fill
(
1
8
+
1
12
)
part of tank]]
∴It takes
12
5
h in filling half the tank
For remaining half of the tanks P
‌
3
will open and this will take 6 h
∴Supervisor has gone out for
(
12
5
+
6
)
h
Now,
1
3
rd tank will be filled in
8
5
h
∴In remaining
34
5
h only
17
30
th part of tank will fill.
∴Emptied part of tank =
1
−
(
1
3
+
17
30
)
=
1
10
which is 10% of tank.
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