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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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