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    OlympiadMediumLogic5–6

    Three closed boxes hold apples, oranges, and a mixture. Every label is on the wrong box. Taking out fruit one at a time without looking inside, what is the smallest number of fruits needed to label all three boxes correctly?

    Três caixas fechadas contêm maçãs, laranjas e uma mistura. Todas as etiquetas estão na caixa errada. Tirando fruta uma de cada vez, sem ver o interior, qual é o menor número de frutos necessário para etiquetar corretamente as três caixas?

    Answer options

    Solution

    Step 1 of 3

    1. 1.Take one fruit from the box labelled “mixture”. Since that label is wrong, the box holds only one kind, and the fruit drawn tells you which.