Case 060
The Broken Seal
A tamper seal on a storage crate was cut overnight.
Rule: exactly one suspect is guilty. The guilty suspect lies. Every innocent suspect tells the truth.
Parker
“Hayden is innocent.”
Jordan
“Either Hayden or Taylor is guilty.”
Hayden
“Parker is innocent.”
Taylor
“Parker and Hayden are both innocent.”
Lane
“Neither Parker nor Hayden is guilty.”
Who is guilty?
Solution: Jordan
If Jordan is guilty, Jordan's statement is false and every other statement is true. Testing the other suspects creates at least one contradiction.