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    Question

    When a number is divided by 29, the remainder obtained is

    22. What is the remainder when five times that number is divided by 29?
    A 12 Correct Answer Incorrect Answer
    B 23 Correct Answer Incorrect Answer
    C 18 Correct Answer Incorrect Answer
    D 28 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the number be:

    Number = 29D + 22, where D is an integer.

    Five times the number = 5 × (29D + 22) = 145D + 110

    Now divide by 29:

    (145D + 110) = (145D + 87 + 23)

    ⇒ Remainder = 23

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