The following table shows the number of employees and their median age in eight companies located in a district. CompanyNumber of employeesMedian age A 32 24 B 28 30 C 43 39 D 39 45 E 35 49 F 29 54…
Question and options
The following table shows the number of employees and their median age in eight companies located in a district.
It is known that the age of all employees are integers. It is known that the age of every employee in A is strictly less than the age of every employee in B, the age of every employee in B is strictly less than the age of every employee in C, ..., the age of every employee in G is strictly less than the age of every employee in H.
The highest possible age of an employee of company A is:
| Company | Number of employees | Median age |
|---|---|---|
| A | 32 | 24 |
| B | 28 | 30 |
| C | 43 | 39 |
| D | 39 | 45 |
| E | 35 | 49 |
| F | 29 | 54 |
| G | 23 | 59 |
| H | 16 | 63 |
It is known that the age of all employees are integers. It is known that the age of every employee in A is strictly less than the age of every employee in B, the age of every employee in B is strictly less than the age of every employee in C, ..., the age of every employee in G is strictly less than the age of every employee in H.
The highest possible age of an employee of company A is:
- 29
- 30
- 24
- 28
Answer and explanation
Correct answer: A - 29
The highest possible age in company A is 29. The youngest employee in B can be at most 30, its median, so the strict ordering and integer ages cap A at 29. This age is attainable with all B employees aged 30 and the 31 younger A employees aged 24, while 30 in A would violate the strict gap between companies.
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