If m is an integer, is m odd?
(1) m/2 is not an even integer
(2) m-3 is an even integer
Statement 1: m/2 is not an even integer.
It's possible that m=1, since 1/2 is not an even integer.
In this case, m is odd.
It's possible that m=2, since 2/2=1 is not an even integer.
In this case, m is even.
INSUFFICIENT.
Statement 2: m-3 is an even integer.
m - 3 = even.
Thus:
m = even + 3 = even + odd = odd.
SUFFICIENT.
The correct answer is
B.
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