Case 079
The Stolen Watch
A valuable watch disappeared during a private gathering.
Rule: exactly one suspect is guilty. The guilty suspect lies. Every innocent suspect tells the truth.
Hayden
“Morgan is guilty.”
Morgan
“Neither Drew nor Alex is guilty.”
Drew
“Hayden is guilty.”
Taylor
“Morgan and Alex are both innocent.”
Alex
“Either Hayden or Drew is guilty.”
Who is guilty?
Solution: Hayden
If Hayden is guilty, Hayden's statement is false and every other statement is true. Testing the other suspects creates at least one contradiction.