Manipal Engineering Manipal Engineering Solved Paper-2008

  • question_answer
    Which of the following is not a group with respect to the given operation?

    A)  The set of even integers including zero under addition

    B)  The set of odd integers under addition

    C)  {0} under addition

    D)  {1,-1} under multiplication

    Correct Answer: B

    Solution :

    The set of odd integers under addition is not a group. Since, addition of two odd numbers is always an even number, ie, closure property does not hold.


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