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If m is an integer

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by sanju09 » Tue May 18, 2010 5:15 am
If m is an integer, is m odd?
(1) m/2 is not an even integer.
(2) m - 3 is an even integer.
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by sk818020 » Tue May 18, 2010 6:53 am
(1) Simply tells us that 2 does not devide into m and even number of times. Which also does not tell us that m divides into 2 at all, thus, (1) insufficient.

(2) m-3 is an even integer. The only way m-3 could be an even integer is if m is odd because and odd plus or minus an odd will be equal to an even integer. For example, 9-3=6. Thus, m is an odd integer. (2) Sufficient.

IMO B is the answer.
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by ashoo1711 » Tue May 10, 2011 9:31 am
Deleted the comment as I understand the solution now
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by clock60 » Tue May 10, 2011 10:03 am
may be i am wrong but i think that answer is D
we are told that m is an integer, and m is not divisible by 2, but if m is an integer and not divisible by 2 it is odd
by definition even integer is an integer that it is divisible by 2
so i think that 1 st is also suff
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by Stuart@KaplanGMAT » Tue May 10, 2011 10:19 am
clock60 wrote:may be i am wrong but i think that answer is D
we are told that m is an integer, and m is not divisible by 2, but if m is an integer and not divisible by 2 it is odd
by definition even integer is an integer that it is divisible by 2
so i think that 1 st is also suff
Hi,

we're not told that m is not divisible by 2; we're told that m/2 is not an EVEN integer.

So, for example, if m=6, then m/2 = 6/2 = 3, which is not an even integer. Is 6 odd? NO.

However, if m=5, then m/2 = 5/2 = 2.5, which is not an even integer. Is 5 odd? YES.

Since both even and odd numbers can satisfy (1), it's insufficient to answer the question.
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by clock60 » Tue May 10, 2011 10:29 am
hi Stuart
great thanks for pointing out my mistake, bad on me,
in a fact i misread the problem
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by [email protected] » Thu Jul 28, 2011 1:54 pm
sanju09 wrote:If m is an integer, is m odd?
(1) m/2 is not an even integer.
(2) m - 3 is an even integer.

ANSWER SHOULD BE D
FROM 1: M/2 IS NOT AN EVEN INTEGER. SO IT MAY BE A ODD INTEGER OR IT MAY BE A FRACTION (M MAY BE FRACTION). BUT FROM THE STATEMENT WE KNOW M IS AN INTEGER. THUS M IS ODD.
FROM SECOND:IT IS CLEARLY STATED THAT M IS ODD.

SO ANSWER IS D
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by sanju09 » Sat Jul 30, 2011 2:35 am
[email protected] wrote:
sanju09 wrote:If m is an integer, is m odd?
(1) m/2 is not an even integer.
(2) m - 3 is an even integer.

ANSWER SHOULD BE D
FROM 1: M/2 IS NOT AN EVEN INTEGER. SO IT MAY BE A ODD INTEGER OR IT MAY BE A FRACTION (M MAY BE FRACTION). BUT FROM THE STATEMENT WE KNOW M IS AN INTEGER. THUS M IS ODD.
FROM SECOND:IT IS CLEARLY STATED THAT M IS ODD.

SO ANSWER IS D
Please re read Stuart Kovinsky's post on top that best explains why (1) is insufficient.
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