GMAT Quantitative Reasoning Practice Test 6

Question : 50 of 100

Marks: +1, -0

X, Y

and

Z

are positive integers, is

X

greater than

Z-Y

?
(1)

X-Z-Y>0

.
(2)

Z^2=X^2+Y^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:

From statement (1) we learn that

X>Z+Y

therefore

X

must be bigger than

Z-Y

(positive integers). From statement (2) we learn that

X^2=Z^2-Y^2

and that tells us nothing relevant.

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