LOGIC & PUZZLES / DEDUCTION
Solve a logic grid
without guessing.
Each clue is a rule about which combinations may—or may not—occur.
THE MAIN IDEA
Represent what is possible before you draw a conclusion.
A logic-grid puzzle describes a small set of people or objects, several categories, and clues that connect their attributes. The grid is more than a place to fill in X marks: it is an explicit model of possible pairings. Begin by copying the categories and confirming the puzzle's assumptions. Does every person have exactly one unique value in each category? Is the puzzle guaranteed to have a unique solution? A sentence like “Mina arrived before the violinist” is a relative-order constraint, not direct proof that Mina cannot be the violinist unless the story says these are separate people. Translate each clue into a plain statement in your own words. Mark direct matches, direct exclusions, and ordering or adjacency constraints differently enough that you will not confuse them later. When a row has only one remaining possible value, the assignment is forced; when a value has only one remaining owner, that assignment is also forced. After making a deduction, revisit every clue that depends on it. One clue may connect categories indirectly: if the baker is neither the person who arrived first nor the person in blue, the candidate set changes even if the clue names no person explicitly. Pencil in tentative possibilities rather than silently treating a hunch as a fact. If you reach a contradiction, inspect the most recent deductions and identify exactly which clue they violated; this is better than erasing half the grid and starting over. Avoid inventing a rule because it sounds natural in the story. “Next to” might mean adjacent in a row, but a puzzle must specify that interpretation. In a robust solution, each final match follows from the written clues and the one-to-one assumptions; no answer depends on guessing the author's intentions. At the end, reread every clue and verify the completed arrangement satisfies it. If two solutions survive, either you missed a possibility, the clues permit multiple answers, or a rule was omitted. The grid shows what your reasoning proves—and also where the available information simply stops.
TRY THIS
Translate one clue three ways.
For any small grid, write a clue in words, state the combinations it permits, then identify the ones it rules out. Wait to mark a deduction until it follows from the clue and known assignments. Check the completed grid against every original sentence.