Manhattan Question Set # 9

Hi richachamption,

While this question looks 'thin', it might take longer to solve than you first think - since the question asks which of the 5 answers CANNOT be true, you might want to prove that 4 of the answers COULD be true (meaning that whichever answer is left would be the correct one) - and that will take a bit of work.

We're told that (A - B)(C) < 0. This means that...
(A - B) = negative and C = positive

OR

(A - B) = positive and C = negative

Answer A: A < B. IF (A - B) is negative, then we could have A=1 and B=2. Eliminate Answer A

Answer B: C < 0. C could be negative (as discussed above). Eliminate Answer B

Answer C: |C| < 1. C could be a positive fraction or a negative fraction (see above). Eliminate Answer C

Between the remaining two answers, Answer E focuses on just 2 of the variables, so I'll deal with that answer first...

Answer E: A^2 - B^2 > 0. IF (A - B) is positive, then we could have A=2 and B=1. Eliminate Answer E

Final Answer: D

GMAT assassins aren't born, they're made,
Rich