Case 176
The Missing File
A signed contract file vanished from the archive.
Rule: exactly one suspect is guilty. The guilty suspect lies. Every innocent suspect tells the truth.
Frankie
“Either Kendall or Sam is guilty.”
Jordan
“Neither Frankie nor Kendall is guilty.”
Kendall
“Frankie and Jordan are both innocent.”
Sam
“Either Jordan or Blake is guilty.”
Blake
“Jordan and Kendall are both innocent.”
Who is guilty?
Solution: Sam
If Sam is guilty, Sam's statement is false and every other statement is true. Testing the other suspects creates at least one contradiction.