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even-odd

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by mehrasa » Sun Nov 07, 2010 10:30 pm
If m is an integer, is m odd?

(1) m/2 is not an even integer.

(2) m - 3 is an even integer.

to me, both statement is sufficient... for the St.1, when m/2 is not even so it is odd integer, but anyway meaning m is even so the answer to the target Q is No and the st. is sufficient
Statement 2 is also sufficient.
however, the book is saying the answer is B meaning st. 2 alone is sufficient :(
what do u think?
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by selango » Sun Nov 07, 2010 10:44 pm
stmt1,

m/2 is an even integer.

This means m/2 is an odd integer or a decimal.

Now let we try with some cases.

m=3,m/2 is a decimal--> m is odd

m=2,m/2 is a odd integer-->m is even

Hence Stmt1 not sufficient.

Hope this clarify.
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by mehrasa » Sun Nov 07, 2010 10:56 pm
but decimal is not integer, is't it?
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by selango » Sun Nov 07, 2010 11:27 pm
Yes decimal is not an integer.

Given that m is an integer and m/2 is not an even integer.

-->m/2 can be odd integer or a decimal.

There are 3 scenarios exist for this case:

1.m=2-->m/2 is an odd integer.

2.m=4,6,8....2n-->m/2 is an even integer.

3.m=1,3,5,7...n-->m/2 is a decimal.

As we don't know what is the value of m,stmt1 is insufficient.

Hope this clarify!!
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by Geva@EconomistGMAT » Mon Nov 08, 2010 1:35 am
https://www.beatthegmat.com/expert-help-pls-t69624.html
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