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Let's break this problem down step by step:

### Information provided:
- Total number of executives = 10,000.
- The pie chart gives the percentage distribution of employees across six companies (C1, C2, ..., C6).
- The table provides the ratio of executives with a management degree to those without a management degree for each company.

### Percentages of Executives in each Company:
From the pie chart:
- C1: 20%
- C2: 5%
- C3: 8%
- C4: 32%
- C5: 20%
- C6: 15%

### Task:
We need to find the total number of management degree holders among the executives in companies C2 and C5.

### Approach:

1. **Find the total number of executives in C2 and C5**:
   - C2: 5% of 10,000 = \( \frac{5}{100} \times 10,000 = 500 \)
   - C5: 20% of 10,000 = \( \frac{20}{100} \times 10,000 = 2000 \)

2. **Apply the ratio of management degree holders to non-holders**:
   - For C2, the ratio is 1:4, meaning 1 out of every 5 executives has a management degree.
     - Number of management degree holders in C2 = \( \frac{1}{5} \times 500 = 100 \)
   - For C5, the ratio is 9:1, meaning 9 out of every 10 executives has a management degree.
     - Number of management degree holders in C5 = \( \frac{9}{10} \times 2000 = 1800 \)

3. **Total number of management degree holders in C2 and C5**:
   \[
   100 \ (\text{C2}) + 1800 \ (\text{C5}) = 1900
   \]

### Conclusion:
The total number of management degree holders in companies C2 and C5 together is **1900**. The correct answer is (C).

Would you like more details, or have any questions?

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Here are 5 related questions you could explore:
1. How would the total number of management degree holders change if the total executives were 20,000?
2. What would be the total number of executives without a management degree in company C6?
3. How can you calculate the total number of executives with management degrees in all companies combined?
4. If the ratio in company C3 changed to 7:3, how many management degree holders would be in C3?
5. What percentage of executives in company C1 have a management degree?

**Tip**: Always double-check the ratio interpretation—it's easy to mistake the order!

The total number of management degree holders among the executives in companies C2 and C5 together is ______.

This problem involves finding the total number of management degree holders among executives in companies C2 and C5. Learn how to use percentages and ratios to calculate the solution, with 1000 executives in C2 and 2000 in C5. Suitable for Grades 10-12.

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