Directions for the following 5 (five) items:

Study the two figures given below and answer the five items that follow:

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

Figure 2 : Age of Physics Professors

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

Question

Question

This question was previously asked in

Official UPSC Civil Services Exam 2013 Prelims Part B

Answer 1

Given:

Table 1:

Table 2:

Calculation:

From table 1,

The number of professors in the Physics discipline (Male + Female) = 40

From table 2,

The number of professors in the Physics discipline between the age group 25 - 34 = 30%

Now, All professors in the age group of 25 to 34,

⇒ 30% of 40

⇒ 12 ----(1)

According to the question,

Number of female professors = 25% of all professors (Male + Female) in the age group of 25 - 34

⇒ Female = (1/4) × (Male + Female)

⇒ Female = (1/4) × 12

⇒ Female = 3

⇒ Male = 12 - 3 = 9

∴ The total number of male professors in the age group of 25 - 34 is 9.