Case 276
The Missing File
A signed contract file vanished from the archive.
Rule: exactly one suspect is guilty. The guilty suspect lies. Every innocent suspect tells the truth.
Riley
“Logan is innocent.”
Logan
“Taylor is innocent.”
Hayden
“Either Logan or Morgan is guilty.”
Morgan
“Either Hayden or Taylor is guilty.”
Taylor
“Either Logan or Hayden 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.