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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
Joined: 08 Aug 2005
Posts: 251
Followers: 1

Kudos [?]: 17 [0], given: 0

x, y, and z are integers, is xz even? 1) xy is even 2) yz is [#permalink]  06 May 2006, 03:57
x, y, and z are integers, is xz even?

1) xy is even
2) yz is even
Manager
Joined: 13 Dec 2005
Posts: 224
Location: Milwaukee,WI
Followers: 1

Kudos [?]: 7 [0], given: 0

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
VP
Joined: 29 Dec 2005
Posts: 1349
Followers: 7

Kudos [?]: 30 [0], given: 0

E too. if only y is even.
SVP
Joined: 30 Mar 2006
Posts: 1739
Followers: 1

Kudos [?]: 45 [0], given: 0

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
Director
Joined: 10 Oct 2005
Posts: 531
Location: US
Followers: 1

Kudos [?]: 13 [0], given: 0

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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