Quantitative Aptitude Ques 597

Question: 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. What is the average number of associate professors in universities C and D together?

Options:

A) 54

B) 50

C) 52

D) 48

E) 46

Show Answer

Answer:

Correct Answer: D

Solution:

  • Total number of associate professors in university $ C=\frac{55\times 60}{100}=33 $ Number of associate professors in university D $ =\frac{90\times 70}{100}=63 $

$ \therefore $ Required average $ =\frac{33+63}{2}=\frac{96}{2}=48 $