Question

If X and Y are integers such that X$\ne$Y, then is |X|Y$>$0?
(1) $|X^Y|>0$

(2) $|X{|}^Y$ is a non-zero integer

• A. IF statement (1) alone is sufficient, but statement (2) is not or If Statement (2) alone is sufficient but statement (1) is not
• B. If Both statements TOGETHER are sufficient, but neither statement ALONE is sufficient
• C. If Each statement ALONE is sufficient
• D. Statement s (1) and (2) TOGETHER are not sufficient

Answer 1

The correct option is D Statement s (1) and (2) TOGETHER are not sufficient

We need to basically find out if X is non zero and if Y is positive.
Statement (1) Insufficient. We do not know anything about Y
Statement (2) Insufficient. The expression $|X{|}^Y$ is a non-zero integer if y is greater than or equal to zero. The given expression |X|Y is equal to zero if y is zero and greater than zero if y is greater than zero.

Both statements together are also not sufficient. Answer is option (d)