The responsibility for conducting the Census in India lies with the:

Office of the Registrar General and Census Commissioner
Ministry of Home Affairs
National Statistical Commission
Planning Commission of India

The correct answer is: Office of the Registrar General and Census Commissioner.

The Office of the Registrar General and Census Commissioner (ORGC) is the nodal agency for conducting the Census of India. It is a statutory body under the Ministry of Home Affairs. The ORGC is responsible for planning, organizing, and conducting the Census of India, as well as for publishing the results.

The Ministry of Home Affairs is the nodal ministry for internal security, public order, and border management. It is also responsible for the administration of Union Territories. The Ministry of Home Affairs does not have any direct role in the conduct of the Census of India.

The National Statistical Commission (NSC) is an independent body constituted by the Government of India to advise on statistical matters. The NSC does not have any direct role in the conduct of the Census of India.

The Planning Commission of India was a body constituted by the Government of India to formulate and implement the Five Year Plans. The Planning Commission was abolished in 2014.