number property

[zooki]

If m is an integer, is m odd?

(1) m/2 is not an even integer
(2) m-3 is an even integer

OA is B

[pemdas]

m-odd?
st(1) m/2 is Not Sufficient as the question stem suggests only m is integer but m/2 may or may not be an integer
st(2) m-3 is even, m must be odd, Sufficient answer Yes

b

If m is an integer, is m odd?

(1) m/2 is not an even integer
(2) m-3 is an even integer

OA is B


if m/2 is not an even integer than m has to be odd for the statement to be true. right? what am i doing wrong?

[chieftang]

Test for m = odd integer.

1. If m is an odd integer, then m/2 isn't an integer at all.
INSUFFICIENT

2. If m is an odd integer, then m-3 is always even.
SUFFICIENT

Answer: B.

[GmatMathPro]

If m is an integer, is m odd?

(1) m/2 is not an even integer
(2) m-3 is an even integer

OA is B

Statement 1 will be true if m is odd OR if m is even but not a multiple of 4. For example, if m=3, 3/2 is not an even integer. If m=6, 6/2=3 is not an even integer. So statement 1 tells us nothing about whether m is odd or even. It just tells us that m is not a multiple of 4.