Case 279
The Disabled Camera
A security camera was deliberately switched off.
Rule: exactly one suspect is guilty. The guilty suspect lies. Every innocent suspect tells the truth.
Dakota
“Peyton is innocent.”
Peyton
“Dakota and Logan are both innocent.”
Kai
“Neither Peyton nor Logan is guilty.”
Logan
“Peyton and Kai are both innocent.”
Frankie
“Dakota is guilty.”
Who is guilty?
Solution: Frankie
If Frankie is guilty, Frankie's statement is false and every other statement is true. Testing the other suspects creates at least one contradiction.