perplexus.info :: Logic : Veracity Verification III

Veracity Verification III (Posted on 2014-04-23)

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

| 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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