Bunuel wrote:
Is p^3 < p?
(1) p < 1
(2) p is an integer
Statement 1:
If p = 0, then both p and p^3 are equal so the answer is NO.
But if p = -2, then p^3 = -8 which is less than -2, so the answer is YES.
thus this statement in itself is
not sufficient.
Statement 2:
If p=0 Or if p = 1, then both p and p^3 are equal so the answer is NO.
If p is a negative integer (except -1) than p^3 will be less than p so the answer will be YES.
If p is a positive integer > 1, then p^3 will be greater than p so the answer will be NO again.
thus this statement also is
not sufficient.
Combining the statements, p is an integer < 1.
If p=0 or -1, then the answer is NO.
If p=-2 or -3, then the answer is YES. Again
not sufficient. Hence
E answer