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Article 75 includes among its provisions:
1. The Prime Minister is to be appointed by the President.
2. The Council of Ministers shall be collectively responsible for the Lok Sabha.
3. The President may appoint a non-member as Prime Minister who must become a member of Parliament before the expiration of six months.
4. The Ministers shall hold office during the pleasure of the Prime Minister.

A. 1 and 2
B. 3 and 4
C. 2 and 3
D. 1 and 4

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Answer
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Hint: 1. Article 75 of the Constitution deals with India's Prime Minister and its rights and responsibilities.
2. India's Prime Minister represents the country by performing different duties. He carries out his duties, taking responsibility

Complete answer:
Option A)
According to Article 75, the Prime Minister is to be appointed by the President, the Council of Ministers shall be collectively responsible for the Lok Sabha.
Article 75(2) explicitly states that ministers shall hold office at the pleasure of the President. On the advice of the Prime Minister, all the ministers are appointed by the President. There is an individual responsibility for each Minister. The Prime Minister is calling on me to resign all ministers at any time.
The Prime Minister should advise the President to dismiss the Minister if the Minister refuses. Losing the Prime Minister's confidence contributes to the President's dismissal. Collective responsibility is an essential feature of democracy in Parliament. Collective cabinet responsibility in India is enshrined in the Constitution.
Article 75(3) deals that the Council of Ministers' responsibility to Lok Sabha shall be collective. When the ministry visits the Lok Sabha's confidence, all ministers, including those from Rajya Sabha, must resign. This means ministers are falling and staying together. In the parliamentary model, the government is one united one. They have a common responsibility. As long as he stays in the government, each government member has to help the other.

Option B)
The President may appoint the non-member as Prime Minister who must become a Parliament member before the expiration of six months. The Ministers shall hold office during the prime Minister's pleasure is not defined in Article 75.

Option C)
The Council of Ministers should be collectively responsible for the Lok Sabha as defined in Article 75. Still, The President may appoint a non-member as Prime Minister who must become a Parliament member before the expiration of six months is not defined in Article 75.

Option D)
The Prime Minister is to be appointed by the President as defined in Article 75, and The Ministers should hold office during pleasure of the Prime Minister is not defined in Article 75.

Hence, the correct answer is option (A)

Note: The Prime Minister is the head of many departments and services, such as the Nuclear Command Authority, NITI Aayog, the Cabinet Appointments Committee, the Atomic Energy Department, the Space Department, and the Ministry of Personnel, Public Grievances and Pensions.