GMAT Quantitative Reasoning Practice Test 5

Question : 89 of 100

Marks: +1, -0

X

greater than 1 ?
(1)

x>x^2

.
(2)

-x< -x^2

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) tells you that

X

is greater than

X^2

, that is true only if

X

is between zero and one and so the answer to the question is no. Statement two is identical to one, multiply both sides by

(-1)

and don't forget to change the sign of the inequality. Either statement is sufficient by itself.

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