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Manipal Engineering Manipal Engineering Solved Paper-2008

  • question_answer
    In the group\[(G,{{\otimes }_{15}})\], where\[G=\{3,\,\,6,\,\,9,\,\,12\}\], \[{{\otimes }_{15}}\]is multiplication modulo 15, the identity element is

    A)  3                                            

    B)  6   

    C)  12                         

    D)         9

    Correct Answer: B

    Solution :

    Given,\[G=\{3,\,\,6,\,\,9,\,\,12\}\] The composition table is
    \[{{\times }_{15}}\] 3 6 9 12
    3 6 9 12 9 3 12 6 3 6 9 12 12 9 6 3 6 12 3 9
    From the table 6 is the identity element.


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