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    The least number of five digits which is exactly divisible by 75 is:
    Question

    The least number of five digits which is exactly divisible by 75 is:

    A.

    10050

    B.

    10025

    C.

    10015

    D.

    10040

    Correct option is A

    Given:

    least five-digit number that is exactly divisible by 75.

    Concept Used:

    Divisibility

    Least multiple greater than a given number

    Formula Used:

    Least required number = ⌈(Smallest five-digit number ÷ divisor)⌉ × divisor

    Solution:

    Smallest five-digit number = 10000

    Divide by 75:

    10000 ÷ 75 = 133.33

    Next whole number = 134

    Now

    134 × 75 = 10050

    Thus, Least number = 10050

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