m13#1 : Retired Discussions [Locked]
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m13#1

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Manager
Joined: 12 Mar 2009
Posts: 192
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Kudos [?]: 330 [0], given: 60

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20 Jul 2010, 00:38
If m and n are positive, what is $$m * n$$ ?

1. $$m^n = 1$$
2. $$n^m = 1$$
(C) 2008 GMAT Club - m13#1

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

OE: Statement (1) by itself is insufficient. If m is 1, n can be any integer.

Statement (2) by itself is insufficient. If n is 1, m can be any integer.

Statements (1) and (2) combined are sufficient. From S1 and S2, it follows that $$m = n = 1$$.

--
As I think, we have one more option - when both m & n equals to 0.

Am I right?
Manager
Joined: 16 Apr 2010
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20 Jul 2010, 03:07
Hi,

Any number, except 0, raised to the power zero has a numerical value of 1.
0 raised to power 0 is not defined.

regards,
Jack
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20 Jul 2010, 03:11
In mathematics there are varying opinions on whether 0^0 equal 1 or whether it is undefined. The writers of the Gmat Club tests apparently assumed that 0^0 is undefined (hence choice C and not E).

This concept is not tested on the actual GMAT.
Manager
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20 Jul 2010, 03:19
stanford2012 wrote:
In mathematics there are varying opinions on whether 0^0 equal 1 or whether it is undefined. The writers of the Gmat Club tests apparently assumed that 0^0 is undefined (hence choice C and not E).

This concept is not tested on the actual GMAT.

Ok, thank you! Let's hope that I wouldn't face such controversial matters on the test day!
Re: m13#1   [#permalink] 20 Jul 2010, 03:19
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m13#1

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