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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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