Jeff Miller

GMAT OFFICIAL GUIDE DS – If m is an integer…

If m is an integer…

Solution:

We are given that m is an integer and we must determine whether it is odd.

Statement One Alone: 

m/2 is not an even integer.

The information in statement one is not enough to determine whether m is odd since m can be odd or even. For example, if m = 3 (an odd number), m/2 = 3/2 = 1.5 is not an even integer. On the other hand, if m = 2 (an even number), m/2 = 2/2 = 1 is not an even integer also.

Thus, statement one is not sufficient to determine whether m is odd. We can eliminate answer choices A and D.

Statement Two Alone: 

m – 3 is an even integer.

Since m – 3 is an even integer, we can say m – 3 = even. That is, m = even + 3. Since 3 is odd and we know that even + odd = odd, we know that m must be an odd integer.

Statement two is sufficient to answer the question.

Answer: B

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