GMAT Quantitative Reasoning Practice Test 7

Question : 65 of 100

Marks: +1, -0

X

and

Y

are integers, what is the value of

Y ∣ X

?
(1)

X^3+X^2+2 X=0

.
(2)

Y-4=0

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:

In order to find the value of

Y I X

, you need to use both statements to find each of the variables.
Statement (1) gives only one possible root for

X

, the expression in statement (1) can be written as

X (X^2. +X+2

) the only solution for

X

which is an integer is 0 , the other two are complex numbers.
Statement (2) tells us that

Y=4

.
The value of

Y I X

is undefined, because the denominator is zero and therefore both statements are not sufficient in order to determine the value of

Y ∣ X

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