GMAT Quantitative Reasoning Practice Test 6

Question : 66 of 100

Marks: +1, -0

X

and

Y

are positive integers, is

x

greater than

r

?
(1)

X>Y-2

.
(2)

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:

Take some numbers for example.

Y = 8

from statement (1) we know that X > 6 and from statement (2) we know that

X > 2

, but X can be 7 or even 24 and he will still fit the equation properly, therefore both statements, taken together are not sufficient.

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