GMAT Quantitative Reasoning Practice Test 6

Question : 35 of 100

Marks: +1, -0

What is the value of

x+z

?
(1)

x+y=11

(2)

z+y=13

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.

Validate

Solution:

Each statement alone leaves out one of the terms x or z, so we cannot find their sum using any statement alone. Moreover, even combining both statements does not help:

\;x+y=11 y+z=13

\;y=11-x y=13-z

\;11-x=13-z z-

\;x=13-11

It is only possible to find

z-x

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