Manipal Engineering Manipal Engineering Solved Paper-2011

  • question_answer
    The least remainder when \[{{17}^{30}}\] is divided by 5, is

    A)  2                                            

    B)  1

    C)  4                            

    D)         3

    Correct Answer: C

    Solution :

    \[{{(17)}^{2}}=289\equiv (-1)(\bmod 5)\] \[\Rightarrow \]               \[{{({{17}^{2}})}^{15}}\equiv {{(-1)}^{15}}(\bmod 5)\] \[\Rightarrow \]               \[{{17}^{30}}\equiv -(\bmod 5)\] i.e.,        \[{{17}^{30}}\equiv 4(\bmod 5)\]


You need to login to perform this action.
You will be redirected in 3 sec spinner