GMAT Quantitative Reasoning Practice Test 8

Question : 29 of 76

Marks: +1, -0

Is Y even?
(1)

W X+Y W+Z W

is an odd number.
(2)

X=8-Z

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 (1) we can learn that

W(X+Y+Z)

is odd and therefore

W

is odd and also

(X+Y+Z)

. From (2) we can learn that

(X+Z)

is even.
Use both statements together:

(X+Y+Z)

is odd yet

(X+Z)

is even and therefore

Y

must be odd.

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