Question 262010
If a) is true, then certainly e) is true. But we only want one true statement. So a) cannot be true.


If b) is true, then either c) or d) is true. Either way, we have 2 possible scenarios with 2 true statements, but we only want one true statement. So b) cannot be true.



Here's where things get a bit tricky, but try to follow as close as you can. If c) is true, and d) is false (since we only want one true statement), then this automatically makes b) true. On the flip side, if d) is true, and c) is false, then b) is again automatically true. In either case, if c) or d) are true, then b) is true. But we only want one true statement. So c) and d) cannot be true.


By process of elimination, every statement was shown to be false. So the only remaining statement e) must be true in order to satisfy the problem's requirements.