As before, the police have tracked down three suspects for a murder. They know that one of them is guilty and each one of them can be either a knight or a liar. Each one of them wrote two statements, but parts of them are full of coffee stains and they are not sure which one of the words in the brackets should be under each coffee stain:

A: ███ (B/C) is a liar. He is also guilty.

B: A is a ████ (liar/knight). C too.

C: A and B are both ████ (liars/knights). I'm guilty.

From these statements, can you figure out who is guilty?

A calls someone a liar, so not all are of same type.

B says same thing about C's type as A's type, so B must be the one who's the opposite type from the other two, and in fact refered to the other two as liars.

C must be a liar because he said A and B are  of same type, so A and C are liars while B is a knight.

Since C is a liar he's not guilty, which he claimed to be.

A is a liar claiming someone to be a liar, so it must be about a knight, so his statements must be about B. Since he claims B to be guilty, B also is not guilty. 

That leaves A who is guilty.

Posted by Charlie on 2007-04-19 15:27:45