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CAT Exam 2021 Slot 2 Solved Paper
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© examsnet.com
Question : 52
Total: 66
From a container filled with milk, 9 liters of milk are drawn and replaced with water. Next, from the same container, 9 liters are drawn and again replaced with water. If the volumes of milk and water in the container are now in the ratio of 16 : 9, then the capacity of the container, in liters, is
Your Answer:
Validate
Solution:
liters is drawn every times.Let initial volume be V, final be F for milk,
The formula is given by :
F
=
V
,
(
1
−
k
V
)
n
n is the number of times the milk is drawn and replaced.
So we get
F
=
V
(
1
−
k
V
)
2
Here
K
=
9
We get
16
25
V
=
V
(
1
−
9
V
)
2
We get
1
−
9
V
=
4
5
or
4
5
V
=
5
, but this is not possible because 9 liters is drawn every time.
Hence :
1
−
9
V
=
4
5
,
V
=
45
liters
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