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# x, y, and z are integers, is xz even? 1) xy is even 2) yz is

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Senior Manager
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x, y, and z are integers, is xz even? 1) xy is even 2) yz is [#permalink]

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06 May 2006, 03:57
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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

1) xy is even
2) yz is even
Manager
Joined: 13 Dec 2005
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06 May 2006, 04:02
E

xy even means either x even y odd or x odd or y even

yz even means either y even z odd or y odd or z even

taking both if y is even in both case xz will be odd
and if any x or z is even the xz will be even

so insufficient data . Ans E
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25 May 2006, 17:16
E too. if only y is even.
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26 May 2006, 00:59
E for me too.

1) xy = even, hence x can be odd or even. We don't know what z is hence cannot say whther xz is even or odd.

2)yz is even. Again no idea about x

Both;
xy =even and yz is even But anynumber can be even or odd. so cannot conclusively say if xz is even or odd
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26 May 2006, 01:05

if y is even then xy and yz will always be even.

So it doesn't provide any information about x and z.
26 May 2006, 01:05
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