Case 222
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.
Casey
“Either Frankie or Hayden is guilty.”
Blake
“Neither Frankie nor Hayden is guilty.”
Frankie
“Blake and Hayden are both innocent.”
Alex
“Neither Blake nor Frankie is guilty.”
Hayden
“Casey is guilty.”
Who is guilty?
Solution: Casey
If Casey is guilty, Casey's statement is false and every other statement is true. Testing the other suspects creates at least one contradiction.