The responsibility of the Mamlatdar, according to option B, is to oversee every branch of district administration. Let's explore this answer in detail.

Responsibility of the Mamlatdar:
The Mamlatdar is an administrative officer who holds a crucial position in the district administration. The term "Mamlatdar" is derived from the Arabic word "Mamlaka," which means "administrative division." The Mamlatdar is responsible for various administrative functions within the district, ensuring the smooth functioning of the local administration.

Overseeing Every Branch of District Administration:
The Mamlatdar's role involves overseeing every branch of district administration. This means that the Mamlatdar is responsible for coordinating and supervising the activities of various departments and offices within the district. Some of the key branches of district administration that the Mamlatdar oversees are:

1. Revenue Administration:
The Mamlatdar plays a crucial role in revenue administration. They are responsible for the collection of revenue, maintenance of land records, and settlement of land disputes. They ensure that land revenue is collected promptly and accurately, and they also supervise the work of revenue officials in the district.

2. Civil and Criminal Justice:
The Mamlatdar also has a role in civil and criminal justice administration. They act as a magistrate and have the authority to preside over certain civil and criminal cases. They ensure that justice is delivered promptly and fairly, and they may also have the power to issue orders and judgments in matters within their jurisdiction.

3. Local Governance:
The Mamlatdar is involved in local governance and plays a pivotal role in implementing government policies and programs at the grassroots level. They work closely with the local bodies such as the Panchayats and Municipalities to ensure effective governance and service delivery to the people.

4. Coordination and Administration:
The Mamlatdar acts as a link between the district administration and the state government. They coordinate with various departments and officials to implement government schemes and policies effectively. They also ensure the smooth functioning of government offices within the district and handle administrative tasks such as record-keeping, documentation, and reporting.

In conclusion, the Mamlatdar's responsibility is to oversee every branch of district administration, including revenue administration, civil and criminal justice, local governance, coordination, and administration. Their role is crucial in maintaining effective governance, implementing government policies, and ensuring the well-being of the district and its residents.