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      Question

      Find the unit digit of (62375 -

      7).
      A 8 Correct Answer Incorrect Answer
      B 9 Correct Answer Incorrect Answer
      C 2 Correct Answer Incorrect Answer
      D 1 Correct Answer Incorrect Answer

      Solution

      Cyclicity of 2 = 2, 4, 6, 8, 2 Hence, we can see the unit digit repeat themselves after every power of 4 So, unit digit of (62375 - 7) = unit digit of (24 X 93 + 3 - 7) = unit digit of (23 - 7) = unit digit of (8 - 7) = 1

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