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# integers GMAT prep

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Manager
Joined: 19 Oct 2008
Posts: 87

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27 Mar 2009, 11:21
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Difficulty:

(N/A)

Question Stats:

100% (01:18) correct 0% (00:00) wrong based on 0 sessions

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For how many integers n is 2^n=n^2

None
One
Two
Three
More than three

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Senior Manager
Joined: 30 Nov 2008
Posts: 479
Schools: Fuqua

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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
Joined: 19 Oct 2008
Posts: 87

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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
Joined: 19 Aug 2006
Posts: 226

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Updated on: 27 Mar 2009, 19:19
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.

Originally posted by peraspera on 27 Mar 2009, 18:23.
Last edited by peraspera on 27 Mar 2009, 19:19, edited 1 time in total.
SVP
Joined: 29 Aug 2007
Posts: 2425

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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
Posts: 87

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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
Joined: 19 May 2008
Posts: 156
Location: Mumbai

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28 Mar 2009, 07:26
Ans is 2 - n can be 2 and 4 - not more than that

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This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: integers GMAT prep &nbs [#permalink] 28 Mar 2009, 07:26
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# integers GMAT prep

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