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# Given N is an integer, which of the following must be odd?

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Given N is an integer, which of the following must be odd?  [#permalink]  15 May 2004, 15:05
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Given N is an integer, which of the following must be odd?

A) N^2+2N+2
B) N^2+2N+3
C) N^2+3N+2
D) N^2+3N+3
E) N^2+6N+6
Senior Manager
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D by plugging 1 & 2 for all choices. Time consuming! any shortcut!
GMAT Club Legend
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Took me less than 1 min.
A,C and E can be taken right out for if you have an even number, they will all yield an even answer
B can be taken out because if you put in an odd number, the first term will be odd, the second even and the third odd. odd+even+odd = even number.
Only D stand
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Paul

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Re: PS-36 [#permalink]  17 May 2004, 10:35
n^2 + n = 0 (2)

1. n + 2
2. n + 3
3. 2n + 2
4. 2n + 1
5. 5n + 6

Of all, the fourth one is odd, irrespective of what n is.
Re: PS-36   [#permalink] 17 May 2004, 10:35
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