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Question Stats:
0% (00:00) correct
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Is integer x even? 1.) (x + 1)(x - 2) is even 2.) (x - 3)(x + 5) is even OA is C I disagree. X could be 3 such that statement 2 is 0. As 0 is an even integer x could be even or odd. So OA should be E
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heyholetsgo wrote: Is integer x even? 1.) (x + 1)(x - 2) is even 2.) (x - 3)(x + 5) is even OA is C I disagree. X could be 3 such that statement 2 is 0. As 0 is an even integer x could be even or odd. So OA should be E OA is B and I think it's correct. Do you still think B is NOT sufficient alone? If yes, please explain why?
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Manager
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I too say it's B.
Knowing that X is an integer:
Stmt 1) if (X-2) is odd then (X+1) is even and (X-2)(X+1) is even and X is odd. If (X-2) is even then (X+1) is odd and (X-2)(X+1) is even and X is even. This tells us X is even or odd. Not sufficient.
Stmt 2 - For (X+3)(X+5) to be even, X has to be odd.
NB: If X is an integer and X is odd, X+1 has to be even and X-1 has to be even.
Last edited by Yalephd on 16 Jul 2011, 05:24, edited 2 times in total.
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Good explanation Yalephd!
I tested the statements in similar manner. Additionally, I substituted actual numbers in place of X and confirmed my answer.
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