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Home Questions & Answers Aptitude Reasoning Question Answers What percentage of the total number of faculty members in Universities A and B together are male Associate Professors

    What percentage of the total number of faculty members in Universities A and B together are male Associate Professors

  • 12%
  • 14.5%
  • 15%
  • 13%
  • 16.5%
  • Explanation:

    University

    Total 

    number of 

    faculty

    members

    (male &

    female)

    Number of

    associate 

    professors

    (male &

    female)

    Number of

    professors 

    (male &

    female)

    Total 

    Number of

    female

    members

    Number of

    female

    Associate

    Professors

    Number of

    female

    Professors

    A 100

    100×65/100

    =65

    100-65

    =35

    72 52

    72-52

    =20

    B 80

    80×55/100

    =44

    80-44

    =36

    56 30

    56-30

    =26

    C 55

    55×60/100

    =33

    55-33

    =22

    40 24

    40-24

    =16

    D 90

    90×70/100

    =63

    90-63

    =27

    72 48

    72-48

    =24

    Number of male associate professors in university A

    = 65-52=13

    Number of male associate professors in university B

    =44-30=14

    Total faculty members in universities A and B

    = 100+80=180

    ∴ Required percentage

    =(13+14)/180×100

    =27/180×100

    =90/6=15%


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