Case 045
The Empty Safe
A small office safe was found empty in the morning.
Rule: exactly one suspect is guilty. The guilty suspect lies. Every innocent suspect tells the truth.
Emery
“Cameron is guilty.”
Peyton
“Jordan and Rowan are both innocent.”
Jordan
“Either Emery or Cameron is guilty.”
Cameron
“Peyton and Jordan are both innocent.”
Rowan
“Cameron is innocent.”
Who is guilty?
Solution: Emery
If Emery is guilty, Emery's statement is false and every other statement is true. Testing the other suspects creates at least one contradiction.