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

  • question_answer
    If X and Y are two sets such that \[(X\cup Y)\] has 60 elements, X has 38 elements and Y has 42 elements, how many elements does \[(X\cap Y)\]have?

    A) 11                                

    B) 20

    C) 13                                

    D) None of these

    Correct Answer: B

    Solution :

    [b]Since \[(X\cup Y)\] has 60 elements, X has 38 elements and Y has 42 elements. We know that \[(X\cup Y)=X+Y-X\cap Y\] Or \[60=38+42-(X\cap Y)\] or \[(X\cap Y)=80-60=20\]


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