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number property

by zooki » Thu Dec 01, 2011 9:11 am
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
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Source: — Data Sufficiency |
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by pemdas » Thu Dec 01, 2011 9:23 am
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
zooki wrote: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?
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by chieftang » Thu Dec 01, 2011 4:17 pm
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.
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by GmatMathPro » Fri Dec 02, 2011 11:56 am
zooki wrote: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.
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