GMAT Quantitative Reasoning Practice Test 7

Question : 16 of 100

Marks: +1, -0

X, Y

and

Z

are three positive integers. If

Z=2

,
what is their sum?
(1)

X-Y=5

.
(2)

3 Y+15=3 X

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:

We need to find the value of

X+Y

since

Z

is already given to us.
Statement (1) is insufficient since we need the sum of

X

and

Y

. Statement (2) can be written as:

3 X-3 Y=15

X-Y=5

, you can see that both statements are the same and therefore more sufficient data is required.

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