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    Subject

    Bank Exam

    Topic

    Jamuna Bank Ltd. - Probationary Officer - 2017

    In a sports club with 30 members, 17 play badminton and 19 play tennis and 2 do not play either. How many members play both badminton and tennis ?

    ক)
    7
    খ)
    8
    গ)
    9
    ঘ)
    None

    Explanation

    Solution: প্রশ্নে বলা হচ্ছে, 30 জন সদস্যের 17 জন Badminton, 19 জন Tennis খেলে এবং 2 জন সদস্য কোনোটাই খেলে না । কতজন সদস্য Badminton এবং Tennis উভয়-ই খেলে ? এক্ষেত্রে প্রয়োজনীয় সূত্রটি হলো, None = Total - [ F + S - (F ∩ \cap S) ] উল্লেখ্য, F = 17 জন; S = 19 জন; None = 2 জন; এবং (F ∪ \cup S) =? এই মানগুলো এখন নিচের সমীকরণে বসিয়ে পাই, None = Total - [ F + s - (F ∩ \cap S) ] => 2 = 30 - [ 17 + 19 - (F ∩ \cap S) ]              => 36 - (F ∩ \cap S) = 30 - 2             => 36 - (F ∩ \cap S) = 28 => (F ∩ \cap S) = 36 - 28 = 8                          (F ∩ \cap S) = 8 অর্থাৎ Badminton এবং Tennis উভয়-ই খেলে ৪ জন সদস্য ।

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