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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]
 06 May 2006, 04:57
x, y, and z are integers, is xz even?
1) xy is even
2) yz is even
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Manager
Joined: 13 Dec 2005
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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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VP
Joined: 29 Dec 2005
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E too. if only y is even.
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SVP
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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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Director
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The answer is E.
if y is even then xy and yz will always be even.
So it doesn't provide any information about x and z.
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