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

Which one of the following disciplines has the highest ratio of males to females?

This question was previously asked in
Official UPSC Civil Services Exam 2013 Prelims Part B
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  1. Physics
  2. Mathematics
  3. Chemistry
  4. Economics

Answer (Detailed Solution Below)

Option 1 : Physics
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UPSC Civil Services Prelims General Studies Free Full Test 1
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Detailed Solution

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Given: 

Table 1:

Disciplines

Male Professors

Female Professors

Physics

32

8

Mathematics

28

8

Chemistry

16

22

Botany

10

14

Psychology

4

6

Economics

24

8

 

 

 

 

 

 

 

 

Table 2:

Age of Physics professors

Numbers (in %)

25 - 34

30

35 ­­- 44

40

45 – 59

20

60 - 65

10

Calculation:

From Table 1,

The number of male professor in Physics = 32

The number of female professor in Physics = 8 

Now,

Male : Female = 32 : 4

⇒ Male : Female = 4 ∶ 1      ----(1)

The number of male and female professors in Mathematics are 28 and 8 respectively.

⇒ Male : Female = 28 ∶ 8 

⇒ Male ∶ Female = 7 ∶ 2      ----(2)

The number of male and female professors in Chemistry are 16 and 22 respectively.

⇒ Male ∶ Female = 16 ∶ 22

⇒ Male ∶ Female = 8 ∶ 11      ----(3)

The number of male and female professors in Botany are 10 and 14 respectively.

⇒ Male ∶ Female = 10 ∶ 14

⇒ Male ∶ Female = 5 ∶ 7      ----(4)

The number of male and female professors in Psychology are 4 and 6 respectively.

⇒ Male ∶ Female = 4 ∶ 6

⇒ Male ∶ Female = 2 ∶ 3      ----(5)

The number of male and female professors in Economics are 24 and 8 respectively.

⇒ Male ∶ Female = 24 ∶ 8

⇒ Male ∶ Female = 3 ∶ 1      ----(6)

From equations (1), (2), (3), (4), (5) and (6) we can say that physics has the highest ratio of male and female.

∴ Physics disciplines have the highest ratio of male and females.

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