Passage

Direction for the following 5 (five) items: Study the two figures given below and answer the five items that follow:

52I

Figure 1: Number of Professors in selected description in a University by sex.

52II

Figure 2: Age of Physics Professors.

Question

CSATEasyPrelims 2013Maths

If the number of female Physics professors in the age group 25 – 34 equals $25\%$ of all the Physics professors in that age group, then what is the number of male Physics professors in the age group 25 – 34?

Explanation

To solve this question, we follow these steps:

Determine the total number of Physics professors: From the bar chart (Figure 1): Total Physics professors = $32$ (males) + $8$ (females) = $40$ .
Find the percentage of Physics professors in the age group 25–34: From the pie chart (Figure 2): Percentage of Physics professors in the 25–34 age group = $30\%$ .
Calculate the total number of Physics professors in the 25–34 age group: $30\% \times 40 = (\frac{30}{100}) \times 40 = 12$ .
Determine the number of female Physics professors in the 25–34 age group: It is given that females in this group make up 25% of all Physics professors in the group. $25\% \times 12 = (\frac{25}{100}) \times 12 = 3$ .
Calculate the number of male Physics professors in the 25–34 age group: Total professors in this age group = $12$ . Males = $12 - 3 = 9$ .