Instructions

The table represents the results of the annual performance appraisal in a company. Each individual’s performance is rated on a scale of 1 - 20 and it is represented in the table under parameters like designation and experience.
For example, 6 managers with an experience of 2 years, got an appraisal in the range from 12 - 14 with at least one of them getting a 12 and one of them getting a 14. Answer following three questions based on this table

Question 63

# At the most, what percentage of the employees of the company have an appraisal score equal to or more than 15?

Solution

Consider only cases where the performance appraisal score lies in the range of 15 or above.

For engineers with 3 years of experience from 3 engineers, at least one will have an appraisal score of 12 other two can have a score above or equal to 15. Therefore, there are at most two engineers with 3 years of experience.

For engineers with 4 years of experience from 5 engineers, at least one will have an appraisal score of 9, the other four can have a score above or equal to 15. Therefore, there are at most four engineers with 4 years of experience.

For Managers with 1 year of experience from 6 managers, all will have a score above or equal to 15.

Therefore, a total of 12 employees can have an appraisal score equal to or more than 15

Required percentage = $$\frac{12}{40}\times100=30\%$$