If X³ Y=24, what is the value of (X³ Y³-X² Y²) ? (1) X² Y²=36. (2) X³ Y²=72

Correct Answer is : Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

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.

Correct Answer is : Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

Test Index

GMAT Quantitative Reasoning Practice Test 5

Question : 80 of 100

Marks: +1, -0

X^3 Y=24

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

X^2 Y^2=36

X^3 Y^2=72

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 since the expression given is only one of two needed.

Statement (2) by itself is sufficient since

X^3 Y^2= (X^3 Y) Y=24 Y=72, Y=3

Y=3

then

X^3=8

and so

X=2

The expression required is a combination of

X

and

Y

and is then calculable.

Go to Question:

Prev Question

Next Question