even-odd

[mehrasa]

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?

[selango]

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.

[mehrasa]

but decimal is not integer, is't it?

[selango]

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!!

[Geva@EconomistGMAT]

https://www.beatthegmat.com/expert-help-pls-t69624.html