Case 306
The Missing Painting
A framed artwork disappeared from a private hallway.
Rule: exactly one suspect is guilty. The guilty suspect lies. Every innocent suspect tells the truth.
Blake
“Riley is innocent.”
Noah
“Frankie is guilty.”
Riley
“Neither Frankie nor Harper is guilty.”
Frankie
“Neither Blake nor Harper is guilty.”
Harper
“Either Noah or Riley is guilty.”
Who is guilty?
Solution: Noah
If Noah is guilty, Noah's statement is false and every other statement is true. Testing the other suspects creates at least one contradiction.