What percent is A of B ? (1) B is 32 more than the square root of A. (2) A is more than 12 less than B \/ 2.

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 8

Question : 37 of 76

Marks: +1, -0

What percent is

A

B

?
(1)

B

is 32 more than the square root of

A

.
(2)

A

is more than 12 less than

B \/ 2

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 this question you have two unknowns,

A

and

B

, and thus you need two equations.
Statement (1) is not enough to find

A

and

B

.
Statement (2) can be written as:

A>(B / 2)-12

.
The second statement is an inequality and not an equation and another equation is needed to solve the question.

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