Explanation:

- Given task: 24 men can complete the work in 15 days.

- Objective: Find how many men are needed to do the same work in 10 days.

- Concept: Work is directly proportional to men and inversely proportional to days.

To solve:

- Total work = Men × Days = 24 men × 15 days = 360 man-days.

- Required: Complete in 10 days, so, 360 man-days / 10 days = 36 men.

- Option 1: 16 - Too few men for the task in 10 days.

- Option 2: 20 - Also insufficient.

- Option 3: 36 - Correct, matches calculation.

- Option 4: 25 - Incorrect, still too few.

Correct Answer: Option 3 - 36

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