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M13 Q13 [#permalink] New post 15 Jun 2009, 22:33
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.
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Re: M13 Q13 [#permalink] New post 16 Jun 2009, 01:34
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
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Re: M13 Q13   [#permalink] 16 Jun 2009, 01:34
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