Case 239
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.
Reese
“Taylor and Logan are both innocent.”
Finley
“Either Reese or Avery is guilty.”
Avery
“Either Taylor or Logan is guilty.”
Taylor
“Finley is innocent.”
Logan
“Taylor is innocent.”
Who is guilty?
Solution: Avery
If Avery is guilty, Avery's statement is false and every other statement is true. Testing the other suspects creates at least one contradiction.