GMAT Quantitative Reasoning Practice Test 7

Question : 86 of 100

Marks: +1, -0

Z

is an integer, is

Z \/ 3

an odd integer?
(1)

Z \/ 3

is an integer.
(2)

Z \/ 6

is an integer.

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:

Statement (1) is insufficient. If

Z=6, Z / 3

is even and if

Z=9, Z / 3

is odd.
Statement (2) is sufficient. If

Z / 6=X(X

is an integer according to the statement) then

Z / 3=2 X

2 X

must be an even integer since it's a multiplication of an integer by 2 .
Therefore,

Z / 3

is always even. Statement (2) is sufficient.

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