Subject

    Quantitative Aptitude

    Topic

    Percentage

    In an examination, 34% of the students failed in Mathematics and 42% faiied in English. If 20% of the students failed in both the subjects, then the percentage of students who passed in both the subjects was :

    ক)
    34 %
    খ)
    44 %
    গ)
    54 %
    ঘ)
    64 %

    Explanation

    n (A) = 34, n (B) = 42, n (A  ∩ B) = 20. So, n (A  U B) = n (A) + n(B) - n(A ∩B) = 34 + 42 - 20 = 56. Percentage failed in either or both the subjects = 56. Hence, percentage passed = (100 - 66)% = 44%.

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