Question

In an office with 8 employees, the average rating of all employees is 30. The average rating of the top five employees is 38, and the average rating of the bottom three employees is 25. Which of the following is not possible?

• A. One of the top five employees has a rating of 50.
• B. The lowest rating among the bottom three employees is 20.
• C. The highest rating among the top five employees is 40.
• D. One of the bottom three employees has a rating of 24.

Hint:

To check feasibility, verify that the sum of individual parts matches the total and that averages align. Always double-check when combining smaller groups.