Case 319
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.
Sam
“Logan is innocent.”
Blake
“Either Sam or Casey is guilty.”
Riley
“Sam and Casey are both innocent.”
Casey
“Neither Sam nor Riley is guilty.”
Logan
“Either Blake or Riley is guilty.”
Who is guilty?
Solution: Blake
If Blake is guilty, Blake's statement is false and every other statement is true. Testing the other suspects creates at least one contradiction.