GMAT Quantitative Reasoning Practice Test 3

Question : 9 of 100

Marks: +1, -0

X

and

Y

are integers,

X

is even and negative,

Y

is odd and positive. Which of the following could be false?
1.

(X+Y)

is an odd number.
2.

Y(X+Y)

is an integer.
3.

X Y

is a positive number.

Solution:

Find opposing examples for each of the statements.
1: An odd number + an even number are always an odd number.
2: Try the numbers:

X=-4, Y=3

3(-1)=1 \/ 3

which is not an integer.
3: Try the numbers:

X=-2, Y=3

X Y=(-2)^3=-8

, which is not positive.
Statements 2 and 3 are not necessarily true.

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