Explanation:

- President’s Rule in a State is initially imposed for 6 months according to Article 356 of the Indian Constitution.

- Option 3: 6 months - The initial duration is 6 months, but it can be extended with Parliament's approval.

- It can be extended every 6 months, up to a maximum of 3 years under normal situations.

- However, for the maximum extension beyond 1 year (up to 3 years), certain conditions must be met (e.g., a National Emergency must be in operation in the country or in the state).

- Option 1 (2 years), Option 2 (1 year), and Option 4 (2 1/2 years) are incorrect, since the actual maximum period can be up to 3 years, subject to conditions.