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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. [#permalink]

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17 Oct 2005, 14:37
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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

Ok out here while St II is fine.
with St 1 can we consider m as odd...as stem says m is an integer.
So the possibility of fractions rule out

OA later

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Senior Manager
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17 Oct 2005, 14:43
1) m/2 is not an even integer does not rule out the possibility of m/2 being a fraction (e.g. m=25 => m/2 = 25/2 which is not an even integer) and at the same time if m is even, m/2 can be odd (m=26 => m/2 is 13). Stem simply says m is an integer...
Hence Insuff.

2) m - 3 is even => m has to be odd as odd - odd = even .. Suff.

Hence B.
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-Vikram

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Director
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17 Oct 2005, 14:47
B

A) m may be odd or even. m=3, 10
B) If m is odd, m-3 is even. If m is even, m-3 is odd. So m is odd.

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Manager
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17 Oct 2005, 14:51
ya thks..just that i confused myself

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17 Oct 2005, 14:59
m/2 is not an even integer...this should tell you that m/2 could be a fraction....

so as Vik explained...(1) is insuff

(2) odd-even=even.....so we know that M is even

(B) it is...

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Director
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17 Oct 2005, 15:06
sushom101 wrote:
If m is an integer, is m odd?
1. m/2 is not an even integer.
2. m-3 is an even integer

Ok out here while St II is fine.
with St 1 can we consider m as odd...as stem says m is an integer.
So the possibility of fractions rule out

OA later

sorry I change my answer to B

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Re: DS - interger   [#permalink] 17 Oct 2005, 15:06
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