Question

Based on the information given below, answer the questions that follow.

Percentage of Professors and Assistant Professors together teaching six different subjects in University ‘X’

Total number = 150

Percentage of Professors teaching six different subjects in University ‘X’

Total number = 50

If the respective ratio between total number of male professors and total number of female professors is 9 : 16 and the respective ratio between total number of male assitant professors and total number of female assistant professors is 9 : 11, what is the total number of female professors and assistant professors teaching the given six subjects in University ‘X’ ?

• A. 63
• B. 90
• C. 77
• D. 73
• E. 87

Answer 1

The correct option is E

87

Female professors $=\frac{16}{25}\times 50=32$
Female assistance professors $=\frac{11}{20}\times 100=55$
$\therefore$ Required answer = 32+55 = 87