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# Is integer N even? 1. N^2 = N 2. N = N^3 * Statement (1)

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Is integer N even? 1. N^2 = N 2. N = N^3 * Statement (1) [#permalink]

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23 Aug 2009, 20:51
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Is integer $$N$$ even?

1. $$N^2 = N$$
2. $$N = N^3$$

* Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
* Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
* BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
* EACH statement ALONE is sufficient
* Statements (1) and (2) TOGETHER are NOT sufficient
Manager
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Re: Is integer N even? [#permalink]

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23 Aug 2009, 21:04
I think the answer is E.

Statement 1: N^2=N. N can be either 0 (even) or 1 (odd)...not sufficient.
Statement2: N^3=N N can be either 0 (even) or 1 or -1 (odd)...not sufficent
Combined, N can be either 0 or 1...not sufficient.

Is that correct?
Senior Manager
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Kudos [?]: 123 [0], given: 5

Re: Is integer N even? [#permalink]

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23 Aug 2009, 21:10
LenaA wrote:
I think the answer is E.

Statement 1: N^2=N. N can be either 0 (even) or 1 (odd)...not sufficient.
Statement2: N^3=N N can be either 0 (even) or 1 or -1 (odd)...not sufficent
Combined, N can be either 0 or 1...not sufficient.

Is that correct?

Yep, E is right.
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Re: Is integer N even? [#permalink]

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24 Aug 2009, 04:23
N can be 0 1 -1, neither is even

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Re: Is integer N even? [#permalink]

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24 Aug 2009, 07:04
1
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flyingbunny wrote:
N can be 0 1 -1, neither is even

That's not correct. 0 is an even number.
So, n can be even or odd => not sufficient to determine if n is even
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Re: Is integer N even? [#permalink]

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24 Aug 2009, 08:07
LenaA wrote:
flyingbunny wrote:
N can be 0 1 -1, neither is even

That's not correct. 0 is an even number.
So, n can be even or odd => not sufficient to determine if n is even

Thanks man. 0 is even.
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Re: Is integer N even? [#permalink]

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25 Aug 2009, 10:34
[quote="Jivana"]Is integer $$N$$ even?

1. $$N^2 = N$$
2. $$N = N^3$$

FROM 1

N= 0 OR 1 OR -1....EVEN OR ODD...INSUFF

FROM 2

N = 0 OR 1 OR -1...INSUFF

BOTH
N^2 = N^3 , -1 IS RULED OUT HOWEVER N CAN = 0 ( EVEN) OR 1 (ODD)

E
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Re: Is integer N even? [#permalink]

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25 Aug 2009, 10:46
I would go with Answer E
Re: Is integer N even?   [#permalink] 25 Aug 2009, 10:46
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