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

  • question_answer
    In a school, there are 20 teachers who teach mathematics of physics of these, 12 teach mathematics and 4 teach both math?s and physics then the number of teachers teaching only physics are

    A) 4

    B)                                8

    C) 12

    D)                                16

    Correct Answer: B

    Solution :

    [b]Let \[M=\]set of Mathematics teaches \[P=\]set of physics teachers n(only math?s teacher) \[=n(M)-n(M\cap P)=12-4=8\] Also, \[n(M\cup P)=n\] (only math teachers) +n (only physics teachers) \[+n(M\cap P)\] \[20=8+4+n\](only physics teachers) \[\Rightarrow n=8.\]


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