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    Question

    A certain number gives a remainder of 9 when divided by 17.

    What is the remainder when twice that number is divided by 17?
    A 12 Correct Answer Incorrect Answer
    B 1 Correct Answer Incorrect Answer
    C 18 Correct Answer Incorrect Answer
    D 8 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the number be:

    Number = 17C + 9, where C is an integer.

    Twice the number = 2 × (17C + 9) = 34C + 18

    Now divide by 17:

    (34C + 18) = (34C + 17 + 1)

    ⇒ Remainder = 1

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