Case 047
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.
Jules
“Harper is innocent.”
Parker
“Neither Jules nor Kai is guilty.”
Harper
“Either Jules or Taylor is guilty.”
Taylor
“Either Parker or Kai is guilty.”
Kai
“Neither Jules nor Parker is guilty.”
Who is guilty?
Solution: Taylor
If Taylor is guilty, Taylor's statement is false and every other statement is true. Testing the other suspects creates at least one contradiction.