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# GMAT Prep Odd/Even Problem

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GMAT Prep Odd/Even Problem [#permalink]  21 Dec 2009, 11:19
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Can someone help me answer this GMAT prep question? The OA is (D) but I can't seem to figure why (1) is sufficient. Thanks

The positive integers x, y, and z are such that x is a factor of y and y is a factor of z. Is z even?

(1) xz is even.

(2) y is even.
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Re: GMAT Prep Odd/Even Problem [#permalink]  21 Dec 2009, 11:25
Expert's post
JimmyWorld wrote:
Can someone help me answer this GMAT prep question? The OA is (D) but I can't seem to figure why (1) is sufficient. Thanks

The positive integers x, y, and z are such that x is a factor of y and y is a factor of z. Is z even?

(1) xz is even.

(2) y is even.

Given y=mx and z=ny --> z=mnx
Q: is z even?

(1) xz even --> either z even, so the answer YES or x is even. x even z=mnx one of the multiples of z even --> z even sufficient
(2) y even --> z=ny one of the multiples of z even --> z even sufficient

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Re: GMAT Prep Odd/Even Problem [#permalink]  24 Dec 2009, 08:34
Thanks for the clear reply!
Re: GMAT Prep Odd/Even Problem   [#permalink] 24 Dec 2009, 08:34
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# GMAT Prep Odd/Even Problem

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