Case 132
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.
Sam
“Either Finley or Riley is guilty.”
Finley
“Riley is innocent.”
Peyton
“Finley and Riley are both innocent.”
Alex
“Neither Peyton nor Riley is guilty.”
Riley
“Either Sam or Peyton is guilty.”
Who is guilty?
Solution: Sam
If Sam is guilty, Sam's statement is false and every other statement is true. Testing the other suspects creates at least one contradiction.