Case 169
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.
Logan
“Kai and Frankie are both innocent.”
Kai
“Neither Hayden nor Frankie is guilty.”
Hayden
“Frankie is innocent.”
Frankie
“Kai is innocent.”
Quinn
“Hayden is guilty.”
Who is guilty?
Solution: Quinn
If Quinn is guilty, Quinn's statement is false and every other statement is true. Testing the other suspects creates at least one contradiction.