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      Question

      data-sheets-value="{"1":2,"2":"What is the unit digit of 112^23?"}" data-sheets-userformat="{"2":769,"3":{"1":0},"11":4,"12":0}">What is the unit digit of 11223?
      A 9 Correct Answer Incorrect Answer
      B 4 Correct Answer Incorrect Answer
      C 8 Correct Answer Incorrect Answer
      D 1 Correct Answer Incorrect Answer

      Solution

      Cyclicity of 2 is 4 (i,e. 2, 4, 8 & 6).
      So to find last digit of 11223, just divide its power by 4 , by this we will get reminder 3.
      When remainder is 3, last digit of 11223 is 3rd case from its cycle i,e. 8.

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