11th Class Mental Ability Arithmetic Question Bank Question - Arithmetic

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

    A) 40%

    B) 42%

    C) 44%

    D) 46%

    E) None of these

    Correct Answer: C

    Solution :

    Explanation Option (c) is correct. Failed in Mathematics, n (A) = 34 Failed in English, n (B) = 42 n\[(A\text{ }\bigcup \text{ }B)\] = n(A)+n\[(A\,\,\bigcap \,\,B)=34+42-20=56\]failed in either or both subjects are 56 percentage passed \[=(100-56)%=44%\]


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