If X and Y are integers such that X≠Y, then is |X|Y>0? (1) |XY|>0 (

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If X and Y are integers such that X

\neq

Y, then is |X|Y

>

0?
(1)

| X^{Y} | > 0

(2)

| X |^{Y}

is a non-zero integer

Options:

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 . Statements (1) and (2) TOGETHER are not sufficient

Answer: Option D
:
D
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|Yis 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)

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