Case 198
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.
Kendall
“Marley and Kai are both innocent.”
Alex
“Either Kendall or Marley is guilty.”
Jordan
“Alex is guilty.”
Marley
“Neither Kendall nor Jordan is guilty.”
Kai
“Marley is innocent.”
Who is guilty?
Solution: Alex
If Alex is guilty, Alex's statement is false and every other statement is true. Testing the other suspects creates at least one contradiction.