Case 229
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.
Taylor
“Finley is guilty.”
Rowan
“Either Taylor or Elliot is guilty.”
Jules
“Rowan and Elliot are both innocent.”
Elliot
“Rowan and Finley are both innocent.”
Finley
“Jules and Elliot are both innocent.”
Who is guilty?
Solution: Taylor
If Taylor is guilty, Taylor's statement is false and every other statement is true. Testing the other suspects creates at least one contradiction.