Case 262
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.
Peyton
“Alex and Taylor are both innocent.”
Kai
“Either Peyton or Alex is guilty.”
Alex
“Neither Casey nor Taylor is guilty.”
Casey
“Taylor is innocent.”
Taylor
“Peyton is innocent.”
Who is guilty?
Solution: Kai
If Kai is guilty, Kai's statement is false and every other statement is true. Testing the other suspects creates at least one contradiction.