Daily logic puzzle with a worked solution

A new puzzle for each date: a logic grid, a truth-teller puzzle or a number puzzle in turn. Reveal the reasoning or print it with the answer.

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Puzzle for 2026-09-27: number puzzle

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.

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The prompt cards use 1 sheet, with up to 8 cards on each. Sets with answers include extra pages for the key.

  1. Three archive boxes hold 6893 cards altogether. Box B holds twice as many as box A. Box C holds 1 more than box A. How many cards are in each box?

    medium

    A: 1723; B: 3446; C: 1724.

    Let A = x. Then x + 2x + (x + 1) = 6893, so 4x = 6892 and x = 1723. Check: 1723 + 3446 + 1724 = 6893.

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