If m is an integer, is m odd? (1) m/2 is Not an even integer

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If m is an integer, is m odd? (1) m/2 is Not an even integer [#permalink]

06 Mar 2008, 16:41

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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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Re: DS [#permalink]

06 Mar 2008, 16:46

Statement 1:
Take m = 6, so m/2 =3 not an even integer, in fact any value divided by 2 if it gives a odd result, then initial number must be multiple of even. Because either Even/Even or Odd/Odd can result in odd number and as 2 is even so numerator should be even as well. So this can answer that m is not odd.

Statement 2:
Take m = 7, so m - 3 = 4. Infact any number is substracted by 3 resulting in even number should be odd. Because odd - odd = even. So this can also answer m is odd.

As both statements can independently answer, so Answer D.

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Re: DS [#permalink]

06 Mar 2008, 17:25

That's how I did it, but D is not the answer.

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Re: DS [#permalink]

06 Mar 2008, 18:25

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It should be 'B'.

Stmt1: m/2 not an even int
m=7, m is odd
m=14, m is even
So not Suff

Stmt2:m-3 =even
m = 3+even = odd
Suff

Hence 'B'

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Re: DS [#permalink]

06 Mar 2008, 18:37

shils01 wrote:

That's how I did it, but D is not the answer.

Stat 1 says m/2 is not an even int.
That implies m/2 could be an odd int or not an int.
Most of us assume m/2 to be an odd int and hence end up with D as an answer

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Re: DS [#permalink]

06 Mar 2008, 20:01

goalsnr wrote:

shils01 wrote:

That's how I did it, but D is not the answer.

Stat 1 says m/2 is not an even int.
That implies m/2 could be an odd int or not an int.
Most of us assume m/2 to be an odd int and hence end up with D as an answer

Thanks. The answer is B. Your explanation clears it.

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Re: DS [#permalink]

07 Mar 2008, 05:26

goalsnr wrote:

shils01 wrote:

Most of us assume m/2 to be an odd int and hence end up with D as an answer

I fell for it... :wall

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Re: DS [#permalink] 07 Mar 2008, 05:26

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If m is an integer, is m odd? (1) m/2 is Not an even integer

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If m is an integer, is m odd? (1) m/2 is Not an even integer

If m is an integer, is m odd? (1) m/2 is Not an even integer

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