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odds or evens

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odds or evens [#permalink] New post 16 Nov 2006, 14:02
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If m and n are integers, is m odd?

(1) m+n=odd
(2) m+n=n^2+5
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 [#permalink] New post 16 Nov 2006, 14:26
B

(1) m can be odd or even
(2) m+n=n^2+5 =
m = n^2 - n + 5

I picked 1, 3 and 4 for n and the #s were odd each time. I didn't use neg #s b/c they'd become pos once squared
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B [#permalink] New post 16 Nov 2006, 14:26
(1) insuff

This means one of the number is even other us odd and
either of m or n could be odd or even

(2) suff

n(n-1)+5=m

whether n is even or odd integer poduct of n*(n-1) will be even. beacuse either n or n-1 will be evn and product of eben with even or even with odd is always even

n(n-1)+5=m
even + odd = m m will be odd

consider n to be zero
0+5=m m is odd
B   [#permalink] 16 Nov 2006, 14:26
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