Case 089
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.
Alex
“Either Rowan or Peyton is guilty.”
Reese
“Neither Alex nor Rowan is guilty.”
Rowan
“Either Hayden or Peyton is guilty.”
Hayden
“Alex and Reese are both innocent.”
Peyton
“Either Rowan or Hayden is guilty.”
Who is guilty?
Solution: Peyton
If Peyton is guilty, Peyton's statement is false and every other statement is true. Testing the other suspects creates at least one contradiction.