GMAT Quantitative Reasoning Practice Test 8

Question : 40 of 76

Marks: +1, -0

Is A a multiple of B?
(1) B is a multiple of A.
(2) 2A is a multiple of 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:

Rephrase the question: is

A / B

an integer?
Statement (1) can be written as:

B / A

is an integer. Take

A=5, B=10: B / A

is an integer but

A / B

isn't.
Take

A=B=4, A / B=B / A

and they are both integers and therefore this statement is insufficient.
Statement (2) can be written as

2 A {/} B

is an integer. Take

A=10, B=20: 2 A \/ B

is an integer but

A / B

isn't.
Take

A=B=1: 2 A {/} B

is an integer and also

A / B

is an integer and therefore this statement is also insufficient.

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