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?
(In reply to
answer by K Sengupta)
According to A, one of the other two is a liar.
So, either A is a knight and one of the other two is a liar,
or, A is a liar and one of the other two is a knight.
Hence ALL THREE CANNOT correspond to the SAME TYPE.
B's statement indicates that A and C are of the same type.
This is possible only when:
B is a liar and, each of A and C is a knight.
or, B is a knight and, each of A and C is a liar.
By C's statement, A and B belong to the same type. This is a contradiction.
Therefore, C is a liar.
Then, B must be a knight and his true statement confirms A as a liar.
Then C's false statement indicates that he is NOT guilty.
Since A is a liar, it stands to valid reason that the person whom he would indicate as a liar must be, in reality, a knight.
Therefore, A's statement must be about B.
Then, as a liar, A falsely claims that B is guilty. Accordingly, it follows that B is NOT guilty.
Since each of B and C is NOT guilty, it follows that the remaining person, that is A, must be the guilty person.
Then, summarizing, we have:
A is a liar
B is a knight
C is a liar
A is guilty.
Edited on March 21, 2022, 2:18 am
Explanation for Puzzle Answer
