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Home Questions & Answers Aptitude Reasoning Question Answers What is the difference between the total number of male faculty members in Universities B and D together and the total number of female faculty members in Universities A and C together

    What is the difference between the total number of male faculty members in Universities B and D together and the total number of female faculty members in Universities A and C together

  • 60
  • 69
  • 75
  • 72
  • 70
  • 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 faculty members in university B

    = 80-56=24

    Number of male faculty members in university D

    = 90-72=18

    Total number of male faculty members in B and D

    =24+18=42

    Total number of female faculty members in A and C

    = 72+40=112

    ∴ Required difference = 112-42=70

     


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