Case 267
The Cut Cable
A network cable was cut in a restricted room.
Rule: exactly one suspect is guilty. The guilty suspect lies. Every innocent suspect tells the truth.
Kendall
“Emery is guilty.”
Avery
“Kendall and Morgan are both innocent.”
Emery
“Either Avery or Morgan is guilty.”
Sam
“Neither Kendall nor Morgan is guilty.”
Morgan
“Avery and Sam are both innocent.”
Who is guilty?
Solution: Emery
If Emery is guilty, Emery's statement is false and every other statement is true. Testing the other suspects creates at least one contradiction.