Case 141
The Missing Painting
A framed artwork disappeared from a private hallway.
Rule: exactly one suspect is guilty. The guilty suspect lies. Every innocent suspect tells the truth.
Dakota
“Either Peyton or Alex is guilty.”
Marley
“Neither Frankie nor Alex is guilty.”
Peyton
“Alex is guilty.”
Frankie
“Either Dakota or Peyton is guilty.”
Alex
“Dakota and Frankie are both innocent.”
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.