Case 325
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.
Peyton
“Jordan is innocent.”
Logan
“Jordan and Reese are both innocent.”
Jordan
“Neither Peyton nor Reese is guilty.”
Reese
“Either Jordan or Sam is guilty.”
Sam
“Reese 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.