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Puzzle for 2026-10-05: truth-tellers and liars
A new puzzle for each date (UTC): a logic grid, a truth-teller puzzle and a number puzzle take turns. Earlier puzzles stay available by date, starting 27 September 2026.
1 puzzles · Logic puzzle for 2026-10-05 · answers included
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Everyone on an island either always tells the truth or always lies. You meet Hana, Pia and Ben. Hana says: "Ben or Pia tells the truth, or both do." Pia says: "Hana always tells the truth." Ben says: "Pia always lies." Who tells the truth and who lies?
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AnswerHana is a truth-teller; Pia is a truth-teller; Ben is a liar.
Hana is a truth-teller and says something true. Pia is a truth-teller and says something true. Ben is a liar and says something false. Every other combination breaks a statement: Hana liar, Pia liar, Ben liar: Ben's statement would be true, and a liar cannot say that. Hana truth-teller, Pia liar, Ben liar: Hana's statement would be false, and a truth-teller cannot say that. Hana liar, Pia truth-teller, Ben liar: Hana's statement would be true, and a liar cannot say that. Hana liar, Pia liar, Ben truth-teller: Hana's statement would be true, and a liar cannot say that. Hana truth-teller, Pia liar, Ben truth-teller: Pia's statement would be true, and a liar cannot say that. Hana liar, Pia truth-teller, Ben truth-teller: Hana's statement would be true, and a liar cannot say that. Hana truth-teller, Pia truth-teller, Ben truth-teller: Ben's statement would be false, and a truth-teller cannot say that.