m13#1

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 \(m = n = 1\).

The correct answer is C.
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As I think, we have one more option - when both m & n equals to 0.

Am I right?