Challenge Math Problems - Learn your ABCs

by **TimC** Mon Sep 29, 2008 8:31 pm

I have a quick question I was hoping someone could help me with. I was doing the most recent challenge problem online (Sept 15) about Learning Your ABC's. The solution says the answer is C, but I got the answer B and am having trouble reconciling the two.

-Starting with statement 1, this is insufficient and I got the same answer as the solution.
-However, for statement 2, my answer is a bit different. This statement is saying that ac=b(some odd integer). However, we know from the lead-in that at least one of a, b, or c is even as abc is even. If we assume b is odd, that would mean ac=(odd)(odd) => meaning the product ac is an odd integer, and therefore, a, b, and c would all be odd. However, from the lead-in this cannot be the case. So, b cannot be odd. Therefore, b is even and one of a or b is also even (though this is irrelevant to the question).

Does this answer make sense or is my logic flawed (which is most likely be the case).

Thanks for any help!

by **Saurav** Sat Oct 25, 2008 3:27 pm

Can you please post the question?

by **JonathanSchneider** Thu Nov 13, 2008 1:25 am

Actually, I think you just misread something, because the answer is in fact posted as B.