Case 272
The Stolen Prototype
A prototype vanished from a secured workroom.
Rule: exactly one suspect is guilty. The guilty suspect lies. Every innocent suspect tells the truth.
Logan
“Either Avery or Taylor is guilty.”
Frankie
“Neither Peyton nor Taylor is guilty.”
Avery
“Frankie and Peyton are both innocent.”
Peyton
“Neither Avery nor Taylor is guilty.”
Taylor
“Either Logan or Peyton is guilty.”
Who is guilty?
Solution: Logan
If Logan is guilty, Logan's statement is false and every other statement is true. Testing the other suspects creates at least one contradiction.