The following statements are about Mr. Buford’s children:
A. Tracy is blond.
B. Joyce is over six feet tall.
C. Sabrina is in her 27th year.
D. This statement is true if A, or B, or both A and B are true; otherwise it is false.
E. This statement is true if B is false and vice versa.
F. This statement is false if and only if both C and E are true.
G. Just one of statements D, E, and F is true.
If I tell you that G is true, determine which of the statements A through F are true and which are false.
(In reply to Meta-solution (spoiler)
by Steve Herman)
I agree with Steve that this problem doesn't have a unique solution as worded.
Consider, for instance, the case where just E and G are true, and the rest are false. Where's the contradiction?
Any of these combinations of true statements seems possible:
Edited on April 23, 2014, 4:40 pm
Edited on April 23, 2014, 4:41 pm
Posted by tomarken
on 2014-04-23 16:39:48