Families and caskets (1)
Two families of casket-makers lived in Italy long ago. Bellini and his sons always put a true inscription on caskets they made, and Cellini and his sons always put a false inscription on caskets they made.
The families died off long ago, but the caskets and inscriptions remain. You come across two caskets made by the families.
Casket A reads: "This casket was not made by any son of Bellini."
Casket B reads: "This casket was made by one of the sons of Cellini."
Who made each casket?
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1 solution
Clearly casket A was made by the Bellini family, since otherwise a Cellini would have inscribed a true statement. Therefore what it says is true, and it was not made by a son of Bellini, so it must have been made by Bellini himself.
Likewise, casket B was made by the Cellini family, since otherwise a Bellini would have inscribed a false statement. Therefore the statement on it is false, and it was NOT made by one of the sons of Cellini. It must have been made by Cellini himself.