Sunday, October 12, 2008

A then B then C then D

If A, then B.
If B, then C.
If C, then D.

If all of the statements above are true, which of the following must also be true?

(A) If D, then A.
(B) If not B, then not C.
(C) If not D, then not A.
(D) If D, then E.
(E) If not A, then not D.

1 comment:

BTG760 said...

Answer (C)

If A, Then B

A implies B True
B Implies A False (converse)
not A implies not B False (Inverse)
not B implies not A True (Contra positive)

(A) If D, then A. Converse - Ruled out
(B) If not B, then not C. Inverse - Ruled out
(C) If not D, then not A. Contrapositive - Answer
(D) If D, then E. ????
(E) If not A, then not D Inverse - Ruled out

So, answer is C