fozzzy wrote:

Buckets X and Y contained only water and bucket Y was 1/2 full. If all of the water in bucket X was then poured into bucket Y, what fraction of the capacity of Y was then filled with water?

(1) Before the water from X was poured, X was 1/3 full

(2) X and Y have the same capacity.

Kindly provide detailed explanations, thanks!

Its given that, Buckets X and Y contained only water and bucket Y was 1/2 full. At this point we dont know the "relative" sizes of buckets X & Y (which one is larger/smaller by how much).

(1) Before the water from X was poured, X was 1/3 full

INSUFFICIENT: This doesn't give the relative size of X to Y. We dont know whether X has more/less capacity than Y.

(2) X and Y have the same capacity.

INSUFFICIENT: We dont know how much water was poured from X to Y.

Combining (1) & (2)

SUFFICIENT: Statement(2) confirms the X=Y in capacity. Statement(1) states the information that X's 1/3 water was poured into Y. This information is sufficient to add 1/2+1/3=5/6. i.e. Y was filled with 5/6 capacity once the water was poured from X to Y

Hence choice(C) is the answer.
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Thanks,

Prashant Ponde

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