GMAT Quantitative Reasoning Practice Test 8

Question : 34 of 76

Marks: +1, -0

What is the value of the integer

X

?
(1)

X^2=81

.
(2)

X

is a square of a prime number.

Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
Either statement BY ITSELF is sufficient to answer the question.
Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

Solution:

Statement (1) is insufficient since

X

can be either 3 or -3 .
Statement (2) is insufficient since

X

can be

22,32, . . .

Both statements together are sufficient since (2) eliminates the negative option of (1).

X

is 3 .

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