GMAT Quantitative Reasoning Practice Test 8

Question : 12 of 76

Marks: +1, -0

Is Y/X odd?
(1) Y is a prime number.
(2) X is a prime number.

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:

Each statement alone is insufficient since it tells us nothing of the other variable.
(1) and (2) together are trick. If you take

X = Y = 5

or any other prime number the result of Y/X will be odd but if you take

X = 5

and

Y = 7

for instance the result wouldn’t even be an integer.
The answer cannot be determined and more data is required.

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