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# M13 Q13

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Manager
Joined: 09 Apr 2008
Posts: 53

Kudos [?]: 8 [0], given: 4

M13 Q13 [#permalink]

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15 Jun 2009, 21:33
Is $$(x - y)*(x + y)$$ an even integer?

1. $$x$$ and $$y$$ are integers
2. $$x + y$$ is even

(C) 2008 GMAT Club - m13#13

* Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
* Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
* BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
* EACH statement ALONE is sufficient
* Statements (1) and (2) TOGETHER are NOT sufficient

Can someone give an example of when B would not be sufficient. If x + y is even, how can x-y not be an even integer?

Thanks in advance.

Kudos [?]: 8 [0], given: 4

Director
Joined: 03 Jun 2009
Posts: 781

Kudos [?]: 941 [0], given: 56

Location: New Delhi
WE 1: 5.5 yrs in IT
Re: M13 Q13 [#permalink]

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16 Jun 2009, 00:34
thinkblue wrote:
Can someone give an example of when B would not be sufficient. If x + y is even, how can x-y not be an even integer?

In B, its given that x+y is even integer. But we don't know if individually x or y is integer or not.
r.g. x = 1.8 and y=0.2
=> x+y = 2.0, an even integer
and x-y = 1.6, not an integer
the product would also be not an integer.

Together from 1 and 2, we can say that (x - y)*(x + y) is even. Hence IMO C
_________________

Kudos [?]: 941 [0], given: 56

Re: M13 Q13   [#permalink] 16 Jun 2009, 00:34
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# M13 Q13

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