The correct answer is option 1: The power of advising the President as regards the appointment of other Ministers. This power of the Prime Minister is codified in the Constitution of India itself.

Let`s analyze each option to understand them better:

Option 1: The power of advising the President as regards the appointment of other Ministers. This means the Prime Minister has the authority to give recommendations to the President for appointing other Ministers in the government. This power is indeed codified in the Constitution of India.

Option 2: The power to allocate business amongst the Ministers. This refers to the Prime Minister`s ability to distribute different responsibilities and tasks among the various Ministers in the government. While this power is an important function of the Prime Minister, it is not specifically mentioned in the Constitution of India.

Option 3: The power to summon the meeting of the Cabinet. This refers to the Prime Minister`s authority to call for meetings of the Cabinet, where important decisions are made. While the Prime Minister usually exercises this power, it is not explicitly mentioned in the Constitution.

Option 4: The power to transfer a Minister from one Department to another. This refers to the Prime Minister`s ability to move a Minister from one government department to another. This power lies primarily with the President