Correct Answer - Option 2 : 34
Given:
Quantity of pure milk = 162 litres
18 litres of milk is replaced by water 2 times.
Formula used:
Suppose a container contains A units of a liquid from which B units are taken out and replaced by water.
After n operations, operations, operations, operations,
Quantity of pure liquid in the final mixture = A {1 - (B/A)}n
Calculation:
According to the question,
Quantity of pure milk in the final mixture = A {1 - (B/A)}n
⇒ 162 × {1 - (18/162)}2
⇒ 162 × {1 - (1/9)}2
⇒ 162 × (8/9)2
⇒ 162 × (64/81)
⇒ 128
Now, the quantity of water = 162 - 128 = 34
∴ The quantity of water in the final mixture is 34 litres.