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# If x, y, and z are positive integers, is xz even?

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Math Expert
Joined: 02 Sep 2009
Posts: 50076
If x, y, and z are positive integers, is xz even?  [#permalink]

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20 Nov 2017, 00:07
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Difficulty:

25% (medium)

Question Stats:

93% (01:11) correct 7% (00:39) wrong based on 48 sessions

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If x, y, and z are positive integers, is xz even?

(1) xy is even.

(2) yz is even.

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Manager
Joined: 05 Dec 2016
Posts: 245
Concentration: Strategy, Finance
GMAT 1: 620 Q46 V29
Re: If x, y, and z are positive integers, is xz even?  [#permalink]

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20 Nov 2017, 00:15
We need to figure out whether either x or z is are even
(1) x can be odd
(2) z can be odd
(1)+(2) x,z can be both odd, so answer E
Re: If x, y, and z are positive integers, is xz even? &nbs [#permalink] 20 Nov 2017, 00:15
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