This question is related to the Panchayat system in India. When a Panchayat is dissolved, it means that the current officials are removed, and new ones must be elected. The four options give different possible time frames for when these elections must be held.

Option 1 suggests that elections must be held within 1 month. Option 2 suggests a three-month period. Option 3, which is the correct answer, suggests that elections must be held within six months of the dissolution of a Panchayat. This is aligned with Article 243E of the Indian Constitution, which states that fresh elections must be held within six months in case of a dissolution of a Panchayat.

Option 4 suggests a period of 1 year, which is incorrect as it exceeds the stipulated period as per the Constitution of India.