Case 293
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.
Finley
“Either Lane or Frankie is guilty.”
Lane
“Peyton and Frankie are both innocent.”
Peyton
“Jordan is innocent.”
Frankie
“Peyton and Jordan are both innocent.”
Jordan
“Neither Peyton nor Frankie is guilty.”
Who is guilty?
Solution: Finley
If Finley is guilty, Finley's statement is false and every other statement is true. Testing the other suspects creates at least one contradiction.