The correct option is C President with aid and advice of the Prime Minister.
The Prime Minister is responsible for aiding and advising the President in the distribution of work of the Government to various ministries and offices and in terms of the Government of India (Allocation of Business) Rules, 1961. The co-ordinating work is generally allocated to the Cabinet Secretariat. While generally the work of the Government is divided into various Ministries, the Prime Minister may retain certain portfolios if they are not allocated to any member of the cabinet.