If A =2 B, is A^4>B^4 ? (1) A^2=4 B^2. (2) 2 A+B< A \/ 2+B.

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.

GMAT Quantitative Reasoning Practice Test 5

Question : 76 of 100

Marks: +1, -0

A =2 B

, is

A^4>B^4

?
(1)

A^2=4 B^2

.
(2)

2 A+B< A \/ 2+B

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. Take

A=0

and

B=0,(1)

is correct yet

A^4

is not bigger than

B^4

. Take different numbers,

A=6

and

B=12 A^4

is larger than

B^4

.
Statement (2) is sufficient. The only possible way that A will not be larger than B is if they are both zero. (2) Claims that

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