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If i and j are integers, is i + j an even integer?

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Intern
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Joined: 03 Mar 2009
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If i and j are integers, is i + j an even integer?  [#permalink]

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New post 05 Apr 2009, 20:37
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A
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D
E

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25) If i and j are integers, is i + j an even integer?

1) i<10
2) i=j

I get D, but the OA is B.

I know statement 1 is useless.
Statement 2, i could be 0 or 1, which would make it not even or even.

Please help me understand. I don't want to get something like this wrong on the test.

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Senior Manager
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Re: DS - OG11 Problem #25  [#permalink]

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New post 05 Apr 2009, 23:03
These formulas will help:

even + even = even
even + odd = odd
odd + odd = even

So now : statement 2 says i=j : if i is even j is even and result is even. If i is odd , j is also odd and the result is even. Hence sufficient.

-pradeep
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Re: DS - OG11 Problem #25  [#permalink]

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New post 13 Apr 2009, 18:35
yeah if both are equal then sum would be even.

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: DS - OG11 Problem #25 &nbs [#permalink] 13 Apr 2009, 18:35
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