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    Question

    When a number is divided by 31, the remainder is 28. Find

    the remainder when twice the number is divided by 31.
    A 25 Correct Answer Incorrect Answer
    B 30 Correct Answer Incorrect Answer
    C 18 Correct Answer Incorrect Answer
    D 20 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the number be:

    Number = 31F + 28, where F is an integer.

    Twice the number = 2 × (31F + 28) = 62F + 56

    Now divide by 31:

    (62F + 56) = (62F + 31 + 25)

    ⇒ Remainder = 25

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