Case 105
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.
Noah
“Alex is guilty.”
Taylor
“Neither Noah nor Quinn is guilty.”
Morgan
“Taylor and Quinn are both innocent.”
Alex
“Either Taylor or Morgan is guilty.”
Quinn
“Taylor is 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.