Gmat_mission wrote:Is x an even integer?
(1) x is the square of an integer.
(2) x is the cube of an integer.
Statement 1 indicates that x is a perfect square:
1, 4, 9, 16, 25, 36, 49, 64...
Statement 2 indicates that x is a perfect cube:
1, 8, 27, 64...
When the statements are combined, x must be equal to a value contained in both lists.
Thus:
It's possible that x=1.
It's possible that x=64.
Since the answer to the question stem is NO in the first case but YES in the second case, the two statements combined are INSUFFICIENT.
The correct answer is
E.
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