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JEE Main & Advanced Mathematics Sets Question Bank Set theory

  • question_answer
    20 teachers of a school either teach mathematics or physics. 12 of them teach mathematics while 4 teach both the subjects. Then the number of teachers teaching physics only is

    A) 12

    B) 8

    C) 16

    D) None of these

    Correct Answer: A

    Solution :

    Let \[n\,(P)\]= Number of teachers in Physics.   \[n\,(M)\]= Number of teachers in Maths \[n\,(P\cup M)=n(P)+n\,(M)-n\,(P\cap M)\] \[20=n\,(P)+12-4\] Þ \[n\,(P)=12\].


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