Is A>B \text{ ? } (1) A^2>B^2. (2) B is positive.

Correct Answer is : Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

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.

GMAT Quantitative Reasoning Practice Test 7

Question : 43 of 100

Marks: +1, -0

A>B \;\text " ? "\;

(1)

A^2>B^2

.
(2)

B

is positive.

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:

Use both statements, find two sets of numbers that fit the statements yet give a different result.
Take

A=2, B=1

the numbers fit the statements and

A>B

.
Take

A=-2, B=1

the numbers fit the statements and

B>A

.
Therefore, more sufficient data is required.

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