GMAT Quantitative Reasoning Practice Test 5

Question : 65 of 100

Marks: +1, -0

X

and

Y

are two sides of a triangle, is the area of the triangle an integer?

(1)

X

is a prime number.
(2)

Y

is an odd 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:

The area of the triangle is

X Y {/} 2

.
Statement (1) tells us that

X

is a prime number, that can be even (2) or odd (3,5,7, etc.). Statement
(2) tells us that

Y

is an odd integer.
The multiplication of

X

and

Y

can be an odd number or an even number, thus we cannot determine if the area of the triangle is an integer or not.

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