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      Question

      Find the remainder when the number (289n + 133) is divided

      by 17.
      A 15 Correct Answer Incorrect Answer
      B 14 Correct Answer Incorrect Answer
      C 1 Correct Answer Incorrect Answer
      D 12 Correct Answer Incorrect Answer

      Solution

      289n + 133 = (17 X 17n) + (17 X 7) + 14 = 17 X (17n + 11) + 14
      Since, 17 X (17n + 7) is completely divisible by 17
      So, the remainder will be 14.

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