Case 210
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.
Avery
“Neither Quinn nor Emery is guilty.”
Reese
“Emery is innocent.”
Quinn
“Either Emery or Blake is guilty.”
Emery
“Neither Avery nor Reese is guilty.”
Blake
“Either Avery or Emery 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.