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    The smallest positive number which must be added to the greatest number of 4 digits in order that the sum may be exactly divisible by 307 is:
    Question

    The smallest positive number which must be added to the greatest number of 4 digits in order that the sum may be exactly divisible by 307 is:

    A.

    306

    B.

    176

    C.

    132

    D.

    307

    Correct option is C

    Given:

    Greatest 4-digit number: 9999
    Divisor: 307
    Solution:

    Divide 9999 by 307:
    9999÷30732.5799 \div 307 \approx 32.57
    Take the next whole number (33) and multiply by 307:
    307×33=10131307 \times 33 = 10131
    Subtract 9999 from 10131:
    10131 - 9999 = 132

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