GMAT Quantitative Reasoning Practice Test 5

Question : 69 of 100

Marks: +1, -0

X, Y>0

, If

X 3=

Y

, is

Y

a fraction?
(1)

X^2

is a fraction.
(2)

X>Y

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 sufficient. If

X^2

is a fraction,

X

must also be a fraction. Meaning that

X^3

and

Y

will also be fractions.
Statement (2) is sufficient. If

X^3

is a fraction then

X

must be greater than

X^3

, which is also equal to

Y

. We get that from

X>Y

, so

X^3

and

Y

are fractions.

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