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If x + y is an integer, is y an integer? (1) x y is an

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Manager
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Joined: 10 Oct 2008
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If x + y is an integer, is y an integer? (1) x y is an [#permalink]

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New post 05 Nov 2008, 19:56
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If x + y is an integer, is y an integer?
(1) x – y is an integer.
(2) x + 2y is an integer.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

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Re: x and y (30) [#permalink]

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New post 05 Nov 2008, 20:31
picking some non-integers to fulfil the 1st equiation, say 3.5 and 1.5..the sum equals 5.

But (1) says x-y is also an integer. Ok, 3.5 - 1.5 is 2..but wait a sec, what if x = 1.8 and y = 1.2. It fulfils the fact the x+y is an integer(3), but x-y is not an integer(1.8-1.2 = .6). So A is out and so is D

(2) gives us a little more. rewriting (2), (x+y) + y is an integer. We are told x+y is an integer, so y has to be an integer.

My answer pick B
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Re: x and y (30)   [#permalink] 05 Nov 2008, 20:31
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If x + y is an integer, is y an integer? (1) x y is an

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