Case 228
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.
Quinn
“Either Kendall or Hayden is guilty.”
Kendall
“Quinn is guilty.”
Morgan
“Neither Quinn nor Hayden is guilty.”
Hayden
“Neither Quinn nor Peyton is guilty.”
Peyton
“Hayden is innocent.”
Who is guilty?
Solution: Kendall
If Kendall is guilty, Kendall's statement is false and every other statement is true. Testing the other suspects creates at least one contradiction.