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

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Manager
Joined: 04 Apr 2010
Posts: 88

Kudos [?]: 66 [0], given: 17

Schools: UCLA Anderson
If x is a positive even integer, is y odd? (1) 2y + x is [#permalink]

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19 Apr 2010, 15:10
00:00

Difficulty:

25% (medium)

Question Stats:

95% (00:58) correct 5% (01:01) wrong based on 22 sessions

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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
[Reveal] Spoiler: OA

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Kudos [?]: 66 [0], given: 17

Manager
Joined: 18 Mar 2010
Posts: 87

Kudos [?]: 72 [0], given: 5

Location: United States
Re: If x is a positive even integer, is y odd? (1) 2y + x is [#permalink]

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19 Apr 2010, 15:21
(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

Kudos [?]: 72 [0], given: 5

Senior Manager
Joined: 19 Nov 2009
Posts: 311

Kudos [?]: 98 [0], given: 44

Re: If x is a positive even integer, is y odd? (1) 2y + x is [#permalink]

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19 Apr 2010, 23:17
It's B for the same reasons as those given by mmphf !
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Kudos [?]: 98 [0], given: 44

Manager
Joined: 13 Dec 2009
Posts: 127

Kudos [?]: 308 [0], given: 10

Re: If x is a positive even integer, is y odd? (1) 2y + x is [#permalink]

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19 Apr 2010, 23:56
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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Senior Manager
Joined: 01 Feb 2010
Posts: 251

Kudos [?]: 61 [0], given: 2

Re: If x is a positive even integer, is y odd? (1) 2y + x is [#permalink]

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20 Apr 2010, 01:36
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.

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BSchool Forum Moderator
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Re: If x is a positive even integer, is y odd? (1) 2y + x is [#permalink]

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20 Nov 2016, 08:25
So in this question we are given that x is even and we need to get if y is even or not.
Lets look at statements
Statement 1
2y+x is even
but 2y+x is always even irrespective of y being even/odd
hence not sufficient
statement 2
2x+y is even
hmm
y=> even =even => even
so y is even
hence sufficient.

Hence B
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Kudos [?]: 836 [0], given: 595

Re: If x is a positive even integer, is y odd? (1) 2y + x is   [#permalink] 20 Nov 2016, 08:25
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