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.

Well, I am going to solve what I think is the intended problem, namely,

D. A, or B, or both A and B are true

E. B is false

F. C and E are not both true.

G. Just one of statements D, E, and F is true.

Then a truth table is as follows

A B C D E F G

- - - - - - -

T T T T F T F

T T F T F T F

T F T T T F F

T F F T T T F

F T T T F T F

F F T F T F T <-- Solution

F F F F T T F

**There is only one case where G is true, namely A and B False and C true**

My problem with the original question is that D and E and F were meta-statements, namely statements about themselves. I don't see any way to solve this if 2 of the meta-statements are false, since meta-statements don't really give any indication about the truth values of A or B or C. In effect, I am taking all three meta-statements as true, and basing my solution on the truth value of the underlying statement.