GMATPrepNow wrote:

Equal volumes of water were poured into 3 empty flasks, making one flask 1/6 full, one flask 1/8 full, and one flask 1/12 full. If half of the water from each of the two smallest flasks is then poured into the largest flask, what fraction of the largest flask will be filled with water?

A) 1/6

B) 1/4

C) 1/3

D) 3/8

E) 1/2

We can assume that 2 ounces of water are poured into each of the flasks. Thus, the full capacities of the flasks are 12 oz, 16 oz, and 24 oz, respectively.

If half of the water from each of the two smallest flasks is then poured into the largest (24 oz) flask, then the largest flask will have 2 + 1 + 1 = 4 ounces of water and thus it will be

4/24 = 1/6 full.

Alternate Solution:

There were equal amounts of water in all the flasks and since half the water from the two smaller flasks is poured into the largest flask, the amount of the water in the largest flask will double. Since the largest flask is the one that was 1/12 full (which is because the same amount of water filled the least fraction of the flask); after the water is doubled, it will be 2 x 1/12 = 1/6 full.

Answer: A

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