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# odd and even......

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Manager
Joined: 02 Sep 2008
Posts: 102
odd and even...... [#permalink]

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03 May 2009, 21:04
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--== Message from GMAT Club Team ==--

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Manager
Joined: 12 Apr 2006
Posts: 206
Location: India
Re: odd and even...... [#permalink]

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03 May 2009, 21:36
From statement 1

cd + C = Even

This is possible in 2 cases
when C is even or both C and d are odd

e*o + e = e
o*o + o = e

So insufficient

From statement 2

cd + 4c + 2d + 8 = even

cd + e + e + e = even

This is possible only when either c or d is even. So insufficient.

Combining both if c is even only than both the statement can be even, hence the answer is C.
CEO
Joined: 17 Nov 2007
Posts: 3486
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Re: odd and even...... [#permalink]

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05 May 2009, 07:51
Additional way.

Let's modify our statements: we can substitute c+2 for c and d+4 for d as adding even number does not change even/odd properties:

1) c(d+1) = even
2) cd = even

Now, it is obvious that c must be even for 1) & 2) statements as one of d or d+1 is odd.

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Re: odd and even......   [#permalink] 05 May 2009, 07:51
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# odd and even......

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