Case 291
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
“Harper is guilty.”
Alex
“Neither Kendall nor Peyton is guilty.”
Harper
“Kendall is guilty.”
Finley
“Neither Kendall nor Alex is guilty.”
Peyton
“Kendall is innocent.”
Who is guilty?
Solution: Harper
If Harper is guilty, Harper's statement is false and every other statement is true. Testing the other suspects creates at least one contradiction.