Case 050
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.
Avery
“Jordan and Parker are both innocent.”
Jordan
“Either Avery or Taylor is guilty.”
Taylor
“Avery is guilty.”
Parker
“Jordan is innocent.”
Dakota
“Avery and Jordan are both innocent.”
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.