Case 153
The Empty Safe
A small office safe was found empty in the morning.
Rule: exactly one suspect is guilty. The guilty suspect lies. Every innocent suspect tells the truth.
Jordan
“Marley and Lane are both innocent.”
Blake
“Either Marley or Lane is guilty.”
Jules
“Neither Marley nor Lane is guilty.”
Marley
“Neither Jordan nor Lane is guilty.”
Lane
“Jordan and Marley are both innocent.”
Who is guilty?
Solution: Blake
If Blake is guilty, Blake's statement is false and every other statement is true. Testing the other suspects creates at least one contradiction.