GMAT Quantitative Reasoning Practice Test 3

Question : 98 of 100

Marks: +1, -0

A

and

B

are integers. If

2 A-B=B-A

, than which of the following is true?

Solution:

2 A-B=B-A

3 A=2 B

.
Therefore,

3 A

must be an even number and since 3 is odd,

A

must be even and

B

can be either even or
In this question we are looking for an expression: odd/even, which can't be an integer. In answer

B< A

: The numerator is odd and the denominator is even therefore it can't be an integer.

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