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SSC Quantitative Aptitude Percentage Question Bank Percentage (II)

  • question_answer
    In a school, 40% of the students play football and 50% play cricket. If 18% of the students play neither football nor cricket, the percentage of students playing both is

    A) 40

    B) 32

    C) 22

    D) 8

    Correct Answer: D

    Solution :

    [d] Let A = Set of students who play football and B = Set of students who play cricket. Then,\[n\,\,(A)=40,\]\[n\,\,(B)=50\] and \[n\,(A\cup B)=(100-18)=82\] \[\Rightarrow \]   \[n\,\,(A\cup B)=n\,\,(A)+n\,\,(B)-n\,\,(A\cap B)\] \[n\,\,(A\cap B)=n\,\,(A)+n\,\,(B)-n\,\,(A\cup B)\]                         \[=(40+50-82)=8\] \[\therefore \] Percentage of the students who play both \[=8%\]


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