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When items in a box are put in groups of 3 or 5 or 6, there is always 1 item left over. How many items are in the box if there are fewer than 50?

  • math -

    numbers divided by 3 with a remainder of 1 are:
    4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49
    numbers divided by 5 with a remainder of 1 are:
    6 11 16 21 26 31 36 41 46
    numbers divided by 6 with a remainder of 1 are :
    7 13 19 25 31 37 43 49

    did I make it obvious enough ?

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