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# Is x > k? (1) 2^x 2^k = 4 (2) 9^x 3^k = 81 A. Statement

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Director
Joined: 01 Apr 2008
Posts: 846
Name: Ronak Amin
Schools: IIM Lucknow (IPMX) - Class of 2014
Is x > k? (1) 2^x 2^k = 4 (2) 9^x 3^k = 81 A. Statement [#permalink]

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22 Mar 2009, 23:28
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Question Stats:

100% (00:01) correct 0% (00:00) wrong based on 8 sessions

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Is x > k?
(1) 2^x • 2^k = 4
(2) 9^x • 3^k = 81
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is
sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

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Director
Joined: 14 Aug 2007
Posts: 702
Re: DS: Is x > k ? [#permalink]

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23 Mar 2009, 00:03
Economist wrote:
(1) 2^x • 2^k = 4

common base 2 => 2^(x + k ) = 4 = 2^2
i.e x+k=2
x and k can have different values (0,2)(2,0)(1,1)
insuff

Economist wrote:
(2) 9^x • 3^k = 81

3^2x * 3^k = 3^4
i.e 2x + k = 4
again x and k can have different values : (0,4) (1,2) (2,0)

together

2x+2k=4
2x + k = 4
k = 0, x = 2
Suff

C

--== Message from GMAT Club Team ==--

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: DS: Is x > k ?   [#permalink] 23 Mar 2009, 00:03
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