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# GMAT Prep : odd and even

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Manager
Joined: 28 Aug 2006
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Location: Albuquerque, NM
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GMAT Prep : odd and even [#permalink]  31 Dec 2006, 20:18
Could some one please explain this to me
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Senior Manager
Joined: 23 Jun 2006
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from stem we can infer that at least one from x,y,z is odd and at least one is even.

lets check st1. it is given that x(y+z) is even. can x be odd?
if it is, then (y+z) must be even, so they must have the same "oddity", and since there must be at least one even number, we can infer that y and z must be even if x is odd. however - this violates stem since in this arrangement xy+z is even.

so x cannot be odd - so it must be even. hence sufficient.

lets check st2

take x=1 y=2 z=3 and compare to y=1 x=2 z=3

both satisfy stem and st2, but in one x is odd and in the second x is even.

hence insufficient.

Manager
Joined: 28 Aug 2006
Posts: 245
Location: Albuquerque, NM
Followers: 1

Kudos [?]: 1 [0], given: 0

Good one, this was the question no 36 on the test and my mind was already fried (taking two tests in row)

Thanks, hobbit
Director
Joined: 28 Dec 2005
Posts: 922
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This was a good question. I took too much time to analyze this though. I can imagine I would have got it wrong on the test, esp if it came at the end of the test.
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