Case 017
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.
Marley
“Neither Harper nor Noah is guilty.”
Harper
“Neither Marley nor Noah is guilty.”
Alex
“Marley is innocent.”
Hayden
“Either Marley or Harper is guilty.”
Noah
“Harper is innocent.”
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.