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