Case 122
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.
Sam
“Either Cameron or Jordan is guilty.”
Kai
“Cameron is innocent.”
Cameron
“Either Sam or Alex is guilty.”
Jordan
“Cameron and Alex are both innocent.”
Alex
“Either Sam or Kai is guilty.”
Who is guilty?
Solution: Sam
If Sam is guilty, Sam's statement is false and every other statement is true. Testing the other suspects creates at least one contradiction.