Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Data Interpretation & Stats

Question:

Study the given pie-chart and table carefully and answer the question that follows. The percentage-wise distribution of lectures in five different subjects in a university is shown in the pie-chart. The total number of lecturers is 500.

Ratio of male to female lecturers:

Lecturers Males : Females
Mathematics 7 : 3
Physics 2 : 3
Chemistry 4 : 1
Botany 3 : 5
Zoology 2 : 5

What is the difference in the number of female lecturers in chemistry and Mathematics?

Options:

30

22

20

25

Correct Answer:

25

Explanation:

Total number of lecturers = 500

Number of lecturer in chemistry = \(\frac{20 }{100 }\) × 500 = 100

Ratio of male to female lecturer in chemistry = 4  :   1

Female lecturer in chemistry = \(\frac{1 }{5 }\) × 100 = 20

 

Number of lecturer in Mathematics = \(\frac{30 }{100 }\) × 500 = 150

Ratio of male to female lecturer in mathematics = 7 : 3

Female lecturer in chemistry = \(\frac{3 }{10 }\) × 100 = 45

Difference in number of females in chemistry and mathematics = 45 - 20 = 25