I got a question at university which I cannot solve. We are currently working on RSA encryption and I'm not sure what that has to do with the question. Maybe I miss something. Anyway, here is the question:
Inspector D interviews 3 people, A, B and C. All of them give 2 statements, where 1 statement they say is true and 1 is wrong. The inspector knows that and he also knows that exactly one is guilty. Here are the statements:
A: It wasn't me. B did it.
B: It wasn't me. I know that C did it.
C: It wasn't me. B does not know who did it.
So, since there can be only 1 guilty I just looked at each one.
A: If "It wasn't me" is true then "B did it" is wrong. Then Bs 1st statement must be wrong, so C must be the one. But if Cs first statement is wrong it's second must be right, so we have a contradiction.
Same goes for the other two. Am I missing something?