Concept:The President of India formally appoints the Prime Minister, but the choice is guided by majority support in the Lok Sabha.
Explanation:The Prime Minister is not directly elected by either House of Parliament.
Under Article 75, the President appoints the Prime Minister.
Usually, the President appoints the leader of the party or coalition that has a majority in the Lok Sabha.
When no party has a clear majority, the President exercises his discretion to select a person who can command the confidence of the Lok Sabha.
The Prime Minister may belong to either Lok Sabha or Rajya Sabha, or must become a member within six months.
The Prime Minister stays in office only while holding the confidence of the Lok Sabha.
Thus, the correct option is the one that says the appointment is at the President's discretion.
Answer:B. At the discretion of the President.