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The explanation of the answer is based on understanding the mechanism of governmental organization in India.
Option 1 states that the Ministries/Departments of the Government of India are created by the Prime Minister on the advice of the Cabinet Secretary. This is incorrect. The allocation of business rules in India gives the power to the President of India to create ministries/departments, not the Prime Minister.
Option 2 says each of the Ministries is assigned to a Minister by the President of India on the advice of the Prime Minister. This is correct. According to the Indian constitutional framework, the President of India assigns the Ministries to various members of the Council of Ministers on the advice of the Prime Minister.
Option 3 suggests that both statements are correct, which is incorrect as explained above.
Option 4 suggests that neither statement is correct, which is also incorrect as the second statement is correct.
So, the correct answer is Option 2.