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# integers GMAT prep

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Manager
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integers GMAT prep [#permalink]

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27 Mar 2009, 11:21
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For how many integers n is 2^n=n^2

None
One
Two
Three
More than three
Senior Manager
Joined: 30 Nov 2008
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Schools: Fuqua
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Re: integers GMAT prep [#permalink]

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27 Mar 2009, 16:38
2 ^ n = n ^ 2 is possible only when n = 1 or 2.

Hence I go with C ie two.
Manager
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Re: integers GMAT prep [#permalink]

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27 Mar 2009, 18:14
I apologize if this is a real stupid question but isn't 2^4=4^2, Shouldn't it be 0,1 and 4?
Manager
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Re: integers GMAT prep [#permalink]

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27 Mar 2009, 18:23
Accountant wrote:
For how many integers n is 2^n=n^2

None
One
Two
Three
More than three

Updating my original post - I think it's C, as n can be 2 and 4.

Last edited by peraspera on 27 Mar 2009, 19:19, edited 1 time in total.
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Re: integers GMAT prep [#permalink]

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27 Mar 2009, 18:29
Accountant wrote:
For how many integers n is 2^n=n^2

None
One
Two
Three
More than three

1. If n = 0, 2^0 (= 1) is not equal to 0^2 (0).
2. If n = 1, 2^1 is not equal to 1^1.
3. If n = 2, 2^2 = 2^2.
4. If n = 4, 2^4 = 4^2.

So only correct are 3, and 4.
C.
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Manager
Joined: 19 Oct 2008
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Re: integers GMAT prep [#permalink]

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28 Mar 2009, 04:55
Thanks GMAT Tiger. This was way to easy to mess up. I can't believe I forgot 2^0=1 and 2^1=2. It's really sad. There is no hope for me.
Manager
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Re: integers GMAT prep [#permalink]

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28 Mar 2009, 07:26
Ans is 2 - n can be 2 and 4 - not more than that
Re: integers GMAT prep   [#permalink] 28 Mar 2009, 07:26
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# integers GMAT prep

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