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Re: GMAT Prep Odd/Even Problem [#permalink]
21 Dec 2009, 11:25
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