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Buckets X and Y contained only water and bucket Y was 1/2

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Buckets X and Y contained only water and bucket Y was 1/2 [#permalink] New post 21 Jan 2013, 01:26
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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!
[Reveal] Spoiler: OA

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Re: Buckets X and Y contained only water and bucket Y was 1/2 [#permalink] New post 21 Jan 2013, 01:51
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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. We cannot simply add 1/3 and 1/2 here because we don't know the capacity of bucket X. Not sufficient.

(2) X and Y have the same capacity. We don't know how much water bucket X has. Not sufficient.

(1)+(2) Since from (2) X and Y have the same capacity, then 1/3 of X = 1/3 of Y, thus fraction of Y filed after pouring is 1/3+1/2=5/6. Sufficient.

Answer: C.
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Re: Buckets X and Y contained only water and bucket Y was 1/2 [#permalink] New post 23 Jan 2013, 00:38
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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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Re: Buckets X and Y contained only water and bucket Y was 1/2   [#permalink] 23 Jan 2013, 00:38
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