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Banking Quantitative Aptitude Sample Paper Quantitative Aptitude Sample Paper-20

  • question_answer
    Directions: Study the following table carefully and answer the questions given.          [SBI (SO) 2016]
    University Total number of faculty members Percentage of associate professors Total number of female faculty members Number of female associate professors
    A 100 65 72 52
    B 80 55 56 30
    C 55 60 40 24
    D 90 70 72 48
    Note     Faculty members consist of only professors and associate professors in the given universities.
    The total number of professors in universities A and C together is approximately what per cent less than the total number of associate professors in the same universities together?

    A) 37%                             

    B) 58%

    C) 48%                             

    D) 42%

    E) 27%

    Correct Answer: B

    Solution :

    Number of professors in A and C
    \[=100+55=155\]
    Number of associate professors
    \[=65+33=98\]
    \[\therefore \] Required percentage \[=\frac{155-98}{98}\times 100\]
    \[=\frac{57}{98}\times 100\]
    \[=\,58.16\]%\[\approx \] 58%


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