Is integer N even? 1. N^2 = N 2. N = N^3 * Statement (1) : DS Archive
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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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New post 23 Aug 2009, 19:51
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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
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Re: Is integer N even? [#permalink]

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New post 23 Aug 2009, 20:04
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?
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Re: Is integer N even? [#permalink]

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New post 23 Aug 2009, 20:10
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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New post 24 Aug 2009, 03:23
N can be 0 1 -1, neither is even

answer E
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Re: Is integer N even? [#permalink]

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flyingbunny wrote:
N can be 0 1 -1, neither is even

answer E


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

answer E


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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New post 25 Aug 2009, 09:34
[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)

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Re: Is integer N even? [#permalink]

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New post 25 Aug 2009, 09:46
I would go with Answer E
Re: Is integer N even?   [#permalink] 25 Aug 2009, 09:46
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Is integer N even? 1. N^2 = N 2. N = N^3 * Statement (1)

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