The pie chart given below shows the number of employees in 6 different…
2024
The pie chart given below shows the number of employees in 6 different companies. The total number of employees in all these 6 companies 18000. The number of employees in a particular company is shown in terms of degree with respect to the total number of employee in all these 6 companies.
Which of the following statement is correct? I. The difference between average number of employee in company C1 and C2 and the average number of employee in company C3 and C5 are 150. II. The number of employee in company C6 is 50 percent of the number of employee in company C4. III. The ratio of number of employee in company C2 to the number of employee in C6 are 2:15.
- A.
I, II and III
- B.
I and II
- C.
II and III
- D.
I and III
Attempted by 43 students.
Show answer & explanation
Correct answer: D
To evaluate the statements correctly, we must first determine the number of employees in each company. Since the pie chart represents a total of 18,000 employees distributed over 360 degrees, each degree corresponds to:
18,000 employees / 360 degrees = 50 employees per degree.
Company Employee Breakdown
C1: 130 degrees × 50 = 6,500
C2: 8 degrees × 50 = 400
C3: 95 degrees × 50 = 4,750
C4: 30 degrees × 50 = 1,500
C5: 37 degrees × 50 = 1,850
C6: 60 degrees × 50 = 3,000
Evaluation of Statements
Statement I: The difference between the average number of employees in C1 and C2, and the average number of employees in C3 and C5 is 150.
Average (C1, C2) = (6,500 + 400) / 2 = 6,900 / 2 = 3,450
Average (C3, C5) = (4,750 + 1,850) / 2 = 6,600 / 2 = 3,300
Difference = 3,450 - 3,300 = 150.
Result: Correct.
Statement II: The number of employees in company C6 is 50 percent of the number of employees in company C4.
C6 = 3,000; C4 = 1,500.
3,000 is 200% of 1,500 (it is double, not half).
Result: Incorrect.
Statement III: The ratio of the number of employees in company C2 to the number of employees in company C6 is 2:15.
C2 : C6 = 400 : 3,000
Simplify by dividing by 200: 400/200 : 3,000/200 = 2 : 15.
Result: Correct.
Conclusion
Since Statements I and III are correct, Option D is the right answer.