GMAT Quantitative Reasoning Practice Test 2

Question : 50 of 100

Marks: +1, -0

A

and

B

are positive integers, which of the following expressions is not an integer for certain?

$(2 A^2-2 B^2) \/(A+B)$ .
$(6 B+8 A) \/(3 B+4 A)$ .
$(3 A-B) \/(B-3 A)$ .
$(A+B) \/ (A^2+B^2+2 A B)$ .
$(A^2-B^2) \/(A-B)$ .

Solution:

All the answers besides

[(A+B) {/} (A^2+B^2+2 A B) .]

are numbers after some simplification.
Answer

(A+B) {/} (A^2+B^2+2 A B) =(A+B) \/(A+B)^2=1{/}(A+B)

, and this is a fraction of a number.

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