Case 023
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.
Sam
“Either Frankie or Hayden is guilty.”
Peyton
“Sam is innocent.”
Logan
“Peyton is innocent.”
Frankie
“Logan is innocent.”
Hayden
“Either Peyton or Frankie 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.