Case 134
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.
Jordan
“Peyton and Quinn are both innocent.”
Alex
“Neither Peyton nor Quinn is guilty.”
Frankie
“Either Jordan or Peyton is guilty.”
Peyton
“Alex and Quinn are both innocent.”
Quinn
“Neither Alex nor Peyton is guilty.”
Who is guilty?
Solution: Frankie
If Frankie is guilty, Frankie's statement is false and every other statement is true. Testing the other suspects creates at least one contradiction.