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Railways Sample Paper RRB (Group D) Sample Test Paper-13

  • question_answer
    What is the remainder when \[{{4}^{96}}\] is divided by 6?

    A)  0        

    B)  2

    C)  3                    

    D)  4

    Correct Answer: D

    Solution :

    [d] Let us divide the different powers of 4 by 6 and find the remainder. So remainder for \[{{4}^{1}}=4,\,\,{{4}^{2}}=4,\,\,{{4}^{3}}=4,\,\,{{4}^{4}}=4,\,\,{{4}^{5}}=4,\,\,{{4}^{6}}=4\]         and so on. Hence remainder for any power of 4 will be 4 only.


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