Case 185
The Missing Ledger
A confidential ledger disappeared from the office.
Rule: exactly one suspect is guilty. The guilty suspect lies. Every innocent suspect tells the truth.
Alex
“Neither Kai nor Dakota is guilty.”
Peyton
“Hayden is guilty.”
Kai
“Alex and Dakota are both innocent.”
Hayden
“Either Peyton or Kai is guilty.”
Dakota
“Neither Peyton nor Kai is guilty.”
Who is guilty?
Solution: Hayden
If Hayden is guilty, Hayden's statement is false and every other statement is true. Testing the other suspects creates at least one contradiction.