Case 019
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.
Jordan
“Neither Sam nor Reese is guilty.”
Frankie
“Reese is innocent.”
Sam
“Either Frankie or Logan is guilty.”
Reese
“Either Jordan or Logan is guilty.”
Logan
“Either Jordan or Sam is guilty.”
Who is guilty?
Solution: Logan
If Logan is guilty, Logan's statement is false and every other statement is true. Testing the other suspects creates at least one contradiction.