IPMAT Indore 2024 - QA (SA) Q10 Explanation

Explanation:

(45) Total number of employees = 32+28+43+39+ 35+29+23+16 =245

Median age of all these employees = age of the employee at the middle most position when all the employees are arranged in ascending/ descending order of their age. Middle position will be 245+1 2 =123

∴ The age of employee whose position is 123rd. Adding, number of employees of companies A, B and C = 32 + 28 + 43 = 103.

To reach 123rd position, we need to add 20 employees of company D.

We know, the age of 20th employee of company D = median age of the employees of the company D = 45 years. (Here, 20th position will be the middle most position when all 39 employees are arranged in ascending / descending order of their age)

Therefore, median age of an employee across all eight companies = 45 years. Ans.