This tests old Vedic terms for community heads, which show up often in Indian mythology and ancient polity questions.
The Head of the Village: This is correct. "Vraja" means a small pastoral settlement or hamlet, and "pati" means lord or head, so Vrajapati means the head of that village-like unit.
The Head of the Family: This is wrong. The family or household head in Vedic texts is called Grihapati or Kulapa, a separate term from Vrajapati.
The Head of a Society: This is wrong. A wider tribal or social head was called Vishpati in these texts, not Vrajapati.
The Head of a City: This is wrong. City or town administration used its own titles and is not what Vrajapati refers to.
The correct answer is A, the Head of the Village, based on the literal meaning of "vraja" as a small settlement.