Case 154
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.
Alex
“Either Taylor or Quinn is guilty.”
Logan
“Either Alex or Quinn is guilty.”
Taylor
“Alex is innocent.”
Drew
“Either Logan or Quinn is guilty.”
Quinn
“Either Alex or Drew is guilty.”
Who is guilty?
Solution: Quinn
If Quinn is guilty, Quinn's statement is false and every other statement is true. Testing the other suspects creates at least one contradiction.