Explanation:

- Option 1: Gramani

- This term often referred to a village headman in ancient India. It denotes a person who manages village affairs.

- Option 2: Gramayeka

- This term is less commonly known and doesn’t typically refer to a village headman. Its usage is not prominent in the context of village leadership.

- Option 3: Gamasamika

- Gamasamika signifies a village leader or head in some historical contexts and languages. It is akin to a headman role.

- Option 4: Gahapati

- Gahapati usually referred to a household's head or leader. It is more aligned with the head of a family rather than a village.