Drum X is 1/2 full of oil and drum Y, which has twice the capacity of drum X, is 2/3 full of oil. If all the oil in drum X is poured into drum Y, then Y will be filled to

A 3/4

B 5/6

C 11/12

D 7/6

Correct Answer: Option C

Solution: Let, the capacity of drum X is = P liter

The capacity of drum Y is = 2P liter

Now, drum x is P/2 liter full.

Drum Y is 2p/3 of 2P or 2P \( \times \) 2P/3 = 4P /3 liter full

After transformation of X to Y = X+Y = 4P/3 + P/2 = 8P+3P/6 = 11P/6

Hence, Drum Y is field with 11P/6 litters So Fraction is = 6/2P or 11P/6 \( \times \) 1/2P = 11/12