Case 159
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.
Taylor
“Quinn is innocent.”
Elliot
“Neither Taylor nor Quinn is guilty.”
Dakota
“Taylor is guilty.”
Frankie
“Taylor is innocent.”
Quinn
“Dakota is guilty.”
Who is guilty?
Solution: Dakota
If Dakota is guilty, Dakota's statement is false and every other statement is true. Testing the other suspects creates at least one contradiction.