Case 358
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.
Frankie
“Noah and Hayden are both innocent.”
Taylor
“Frankie is innocent.”
Noah
“Taylor is innocent.”
Alex
“Either Frankie or Hayden is guilty.”
Hayden
“Frankie and Taylor are both innocent.”
Who is guilty?
Solution: Alex
If Alex is guilty, Alex's statement is false and every other statement is true. Testing the other suspects creates at least one contradiction.