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JEE Main & Advanced Mathematics Sets Question Bank Self Evaluation Test - Sets

  • question_answer
    In a B School there are 15 teachers who teach marketing or finance. Of these, 8 teach finance. How many teach marketing but not finance?

    A) 15

    B)                                20

    C) 11

    D)                                None of these

    Correct Answer: C

    Solution :

    [c]From the given condition \[n(M\cup F)=15\], \[n(F)=8,n(M\cap F)=4\] So, \[n(M\cup F)=n(M)+n(F)-n(M\cap F)\] \[n(M)=n(M\cup F)+n(M\cap F)-n(F)\] Hence \[n(M)=15+4-8=11\]


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