Statement: There is a significant increase in the number of patients affected by some disease in a city.

Analysis of the Courses of Action

• I. Municipal Corporation should take immediate action. (Follows)
  This is a logical step. The municipal corporation is the local governing body responsible for public health, and an immediate response to a disease outbreak is a core part of its duties.
• II. Raise the problem in UNESCO. (Does not follow)
  This is not an appropriate action. UNESCO's focus is on global education, science, and culture, not immediate, localized health crises. The problem should be handled by local and national health authorities first.
• III. Hospitals should be properly equipped. (Follows)
  This is a crucial and practical action. To effectively treat a surge in patients, the city's healthcare infrastructure must be adequately prepared with the necessary resources and equipment.

Conclusion: Actions I and III are direct, practical, and appropriate responses to the problem. Action II is irrelevant to the immediate situation.

Therefore, the correct answer is that I and III follow.