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    Question

    Which one of the following is the remainder when

    74100 is divided by 9?
    A 2 Correct Answer Incorrect Answer
    B 5 Correct Answer Incorrect Answer
    C 3 Correct Answer Incorrect Answer
    D 7 Correct Answer Incorrect Answer

    Solution

    Apply remainder theorem, => 74100/9 Dividing 74 by 9, the remainder will be 2, => 2100/9 => [(23)33 × 2]/9 => [(8)33 × 2]/9 Dividing 8 by 9, the remainder will be -1, => [(-1)33 × 2]/9 => -2/9 Since remainder will never be a negative number. Therefore the remainder = -2 + 9 = 7

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