Question

how can you say that the prime minister is the link between the president and the council of ministers long qus​

Answer 1

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Prime Minister is the principal channel of communication between the president and the council of ministers. As per Article 78, it is his duty:

(a) to communicate to the President all decisions of the Council of Ministers relating to the administration of the affairs of the union and proposals for legislation;

(b) to furnish such information relating to the administration of the affairs of the Union and proposals for legislation as the President may call for; and

(c) if the President so requires, to submit for the consideration of the Council of Ministers any matter on which a decision has been taken by a Minister but which has not been considered by the Council.