This is Question 111 (pg 157) from OG Quantitative Review, a DS problem.
If x is a positive integer and w is a negative integer, what is the value of xw?
1) x^w = 1/2
2) w = -1
1) Since value of w is not known, this eq is INSUFFICIENT.
2) Since x is unknown, this eq is INSUFFICIENT.
However, when you plug in w = -1 in eq (1), the answer is obtained. I felt that both statements together are sufficient.
The official answer: statement 1) alone is sufficient, but 2) is insufficient.
Where am I doing wrong??
If you think that (1) is insufficient, show
that it is so by finding two different answers to the question that are consistent with (1)