Case 299
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.
Dakota
“Reese and Peyton are both innocent.”
Reese
“Dakota and Peyton are both innocent.”
Harper
“Either Dakota or Peyton is guilty.”
Alex
“Harper is guilty.”
Peyton
“Neither Dakota nor Alex is guilty.”
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.