Case 363
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.
Lane
“Either Parker or Noah is guilty.”
Parker
“Neither Peyton nor Drew is guilty.”
Noah
“Drew is guilty.”
Peyton
“Parker is innocent.”
Drew
“Lane and Peyton are both innocent.”
Who is guilty?
Solution: Noah
If Noah is guilty, Noah's statement is false and every other statement is true. Testing the other suspects creates at least one contradiction.