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is m odd?

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by sanju09 » Wed Apr 08, 2009 5:18 am
If m and n are integers, is m odd?

(1) m + n is odd.

(2) m + n = n^2 + 5.



OA B
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by mals24 » Wed Apr 08, 2009 5:23 am
St 1: m + n = odd
either m is odd or n is odd
Insuff

St 2: m+n = n^2+5
m-5 = n^2-n
m-5 = n(n-1)

n(n-1) is product of 2 consecutive integers, which is always even.

m-5 = even
m = even + 5

even + odd = odd

so m = odd.
Suff

Answer is B
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