Confusing Count Riddle

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John bought 150 chocolates but he misplaced some of them. His Father asked him how many chocolates were misplaced.
He gave the following answer to him:
If you count in pairs, one remains
If you count in threes, two remain
If you count in fours, three remain
If you count in fives, four remain
If you count in sixes, five remain
If you count in sevens, no chocolate remains.

Can you analyze the statements and tell us how many chocolates were lost?

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  • 1 Answer(s)

    119

    When counted in twos, 59 x 2 = 118 and reminder = 1
    When in 3’s, 39 x 3 = 117 and reminder = 2
    In 4’s, 29 x 4 = 116 and reminder = 3
    In 5’s, 23 x 5 = 115 and reminder = 4
    In 6’s, 19 x 6 = 114 and reminder = 5
    AND
    17 x 7 = 119.

    Viji_Pinarayi Expert Answered on 13th April 2023.
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