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If x is a positive even integer, is y odd? (1) 2y + x is

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Manager
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If x is a positive even integer, is y odd? (1) 2y + x is [#permalink] New post 19 Apr 2010, 14:10
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A
B
C
D
E

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If x is a positive even integer, is y odd?

(1) 2y + x is even
(2) 2x + y is even

[Reveal] Spoiler:
B
Manager
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GMAT 1: Q V
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Re: number properties odd/even question [#permalink] New post 19 Apr 2010, 14:21
(1) doesn't really tell us anything, but reiterate that x is even, butwe already knew that. Y could be even or odd. Insuf

(2) shows y must be even as 2x is even. Even + Even = Even. Suf
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Re: number properties odd/even question [#permalink] New post 19 Apr 2010, 22:17
It's B for the same reasons as those given by mmphf !
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Re: number properties odd/even question [#permalink] New post 19 Apr 2010, 22:56
TheGmatTutor wrote:
If x is a positive even integer, is y odd?

(1) 2y + x is even
(2) 2x + y is even

[Reveal] Spoiler:
B


statement 1) 2y+x is even ==> ( 2y is even and x is even) or ( 2y is odd and x is odd ); but since x is even hence ( 2y is even and x is even) must be true
now 2y is even this does not tell us whether y is even or odd since 2y is always even irrespective of y even or odd ==> insuff

statement 2) 2x + y is even => y must be even because 2x is even. => suff.

IMO B.
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Re: number properties odd/even question [#permalink] New post 20 Apr 2010, 00:36
TheGmatTutor wrote:
If x is a positive even integer, is y odd?

(1) 2y + x is even
(2) 2x + y is even

[Reveal] Spoiler:
B

1: 2y is even as 2y+x is even but y can be even or odd as multiplication with 2 makes it even. Hence insufficient.

2: y has to be even as 2x + y is even hence sufficient.

Its B.
Re: number properties odd/even question   [#permalink] 20 Apr 2010, 00:36
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