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If M and N are positive, what is M*N ? 1.M^N=1 2.N^M=1

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If M and N are positive, what is M*N ? 1.M^N=1 2.N^M=1 [#permalink] New post 21 Nov 2009, 10:05
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If M and N are positive, what is M*N ?

1.M^N=1
2.N^M=1

Answer is C. But I picked E. M, N could be 0, or 1, because whatever to the power of zero is 1. Or is it different in GMATland?

Thanks guys
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Re: GMAT Club Test...needs clarification. Thanks [#permalink] New post 21 Nov 2009, 10:28
wolver123 wrote:
If M and N are positive, what is M*N ?

1.M^N=1
2.N^M=1

Answer is C. But I picked E. M, N could be 0, or 1, because whatever to the power of zero is 1. Or is it different in GMATland?

Thanks guys


m and n are positive.

(1) m^n=1 --> m=1 and n is any value (satisfying the condition that they are both positive). mn unknown. Not sufficient;

(2) n^m=1 --> n=1 and m is any value (satisfying the condition that they are both positive). mn unknown. Not sufficient;

(1)+(2) m=1 and n=1, mn=1. Sufficient.
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Intern
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Re: GMAT Club Test...needs clarification. Thanks [#permalink] New post 21 Nov 2009, 20:27
agree. gmat club teaches you to really be careful in reading the question
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Re: GMAT Club Test...needs clarification. Thanks [#permalink] New post 21 Nov 2009, 23:18
thanks guys. tricky.
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Re: GMAT Club Test...needs clarification. Thanks [#permalink] New post 22 Nov 2009, 05:32
St1: M^N=1 => M =1 & N=any number or M= any number & N=0; So M*N could be 0 or any number; Insuff
St2: N^M=1 => M =any number & N=1 or M= 0 & N=any number; So M*N could be 0 or any number; Insuff

Combined M=1 and N=1. Hence M*N=1

Hence C
Re: GMAT Club Test...needs clarification. Thanks   [#permalink] 22 Nov 2009, 05:32
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If M and N are positive, what is M*N ? 1.M^N=1 2.N^M=1

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