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GMAT Problem Solving (PS) | Re: a, b, c, d are positive integers such that exactly one of

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Bunuel wrote:

a, b, c, d are positive integers such that exactly one of the following inequalities is false. Which inequality is false?

(A) a<b

(B) c<d

(C) a+c<b+c

(D) a+c<b+d

(E) a<b+c+d

I'm not sure whether we can see such problem on GMAT, but I found this one quite interesting so posting for discussion.


An algebrical approach:

first of all (A) a<b and (C) a+c<b+c are the same: both tell us thata<b .
Since exactly one inequality is false, both A and C must be true. With
...

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