Understanding the Employee Distribution Data

The question asks us to find the total number of male graduate employees working specifically in department D based on the provided table and company details. We are given the total number of employees, the ratio of males to females, and the ratio of graduates to post-graduates for the entire company.

First, let's break down the total company numbers:

• Total Employees = 8000
• Ratio of Male to Female = 3 ∶ 5
• Ratio of Graduate to Post-Graduate = 3 ∶ 2

We can calculate the total number of males, females, graduates, and post-graduates in the company:

• Total Males = $\frac{3}{3+5} \times 8000 = \frac{3}{8} \times 8000 = 3 \times 1000 = 3000$
• Total Females = $\frac{5}{3+5} \times 8000 = \frac{5}{8} \times 8000 = 5 \times 1000 = 5000$
• Total Graduates = $\frac{3}{3+2} \times 8000 = \frac{3}{5} \times 8000 = 3 \times 1600 = 4800$
• Total Post-Graduates = $\frac{2}{3+2} \times 8000 = \frac{2}{5} \times 8000 = 2 \times 1600 = 3200$

Analyzing Department D Data

Now let's look at the information provided for Department D from the table:

From the table, the percentages for Department D are:

• Percentage of total employees in D = 22%
• Percentage of total males in D = 20% (This is 20% of the total males in the company)
• Percentage of total graduates in D = 10% (This is 10% of the total graduates in the company)

Using these percentages and the total numbers we calculated, we can find the number of employees, males, and graduates in Department D:

• Number of employees in Department D = 22% of Total Employees = $0.22 \times 8000 = 1760$
• Number of males in Department D = 20% of Total Males = $0.20 \times 3000 = 600$
• Number of graduates in Department D = 10% of Total Graduates = $0.10 \times 4800 = 480$

Determining Male Graduate Employees in Department D

We have found the total number of employees (1760), the total number of males (600), and the total number of graduates (480) working in Department D.

The question asks for the number of employees who are both male and graduate in Department D. The provided percentages tell us the distribution of males across departments (as a percentage of total males) and the distribution of graduates across departments (as a percentage of total graduates).

However, the table does not provide information about the intersection of these two categories within Department D. We know there are 600 males and 480 graduates in Department D, but we don't know:

• How many of the 600 males are graduates?
• How many of the 480 graduates are male?

The data does not give us a breakdown of employees by both gender and education level within each department. We cannot assume that the ratio of male to female or graduate to post-graduate for the entire company holds true for each individual department, nor can we determine the overlap between the male population and the graduate population within Department D using the given percentages.

Therefore, with the information provided, it is not possible to compute the exact number of male graduate employees in Department D.

Conclusion

Based on the detailed analysis of the given data, the number of male graduate employees in department D cannot be determined. We have sufficient data to calculate the total males and total graduates in department D separately, but no information on their overlap.

Revision Table: Key Calculations

Additional Information: Data Sufficiency in Tables

This question highlights a common concept in data interpretation regarding data sufficiency. When working with distribution tables, it is crucial to understand what each percentage represents. In this case, the percentage of males in a department is a percentage of the total males in the company, not the total employees in that department. Similarly, the percentage of graduates is based on the total graduates in the company. To find the number of employees belonging to the intersection of two categories (like male and graduate) within a sub-group (like a department), we typically need information that links those categories, such as:

• The number or percentage of males who are graduates within that specific department.
• The number or percentage of graduates who are male within that specific department.
• A combined percentage or count (e.g., percentage of male graduates in Department D out of total employees in D, or out of total employees in the company).

Without such linking data, the number of male graduate employees in Department D remains unknown, making it impossible to compute.