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Liar Logic (Posted on 2013-04-11) Difficulty: 1 of 5
A and B are each either a knight or a liar. A says, "At least one of us is a liar." What are A and B?

See The Solution Submitted by Math Man    
Rating: 5.0000 (1 votes)

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Solution Puzzle Solution Comment 3 of 3 |
Assume that A is a liar. Then his falsely made statement implies that none of A and B is a liar.  Hence, both A and B are knights. This is a contradiction.

Accordingly, it follows that A must be a knight, and his true statement implies that B must be a liar.

Consequently,  (A, B) = (knight, liar)
 

  Posted by K Sengupta on 2022-03-23 01:27:36
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