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Veracity Verification III (Posted on 2014-04-23) Difficulty: 3 of 5
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.

No Solution Yet Submitted by K Sengupta    
Rating: 3.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Solution | Comment 2 of 4 |
Assuming G is true, then statements C and E are true, all the others are false.

Here is a true/false table:
Only the second line has exactly one of the three statements of D, E and F being true
   A         B         C         D         E        F     # true OF D,E,F
FALSE  FALSE  FALSE  FALSE  TRUE   TRUE        2
FALSE  FALSE  TRUE   FALSE  TRUE   FALSE        1
FALSE  TRUE   FALSE  TRUE   FALSE  TRUE        2
FALSE  TRUE   TRUE    TRUE   FALSE  TRUE        2
TRUE    FALSE  FALSE  TRUE   TRUE   TRUE        3
TRUE    FALSE  TRUE   TRUE   TRUE   FALSE        2
TRUE    TRUE   FALSE  TRUE   FALSE  TRUE        2
TRUE    TRUE   TRUE   TRUE    FALSE  TRUE        2

  Posted by Larry on 2014-04-23 13:45:44
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