The Attorney General of India and the Comptroller and Auditor General of India are two important positions in the Indian government. Let's discuss how they are appointed and by whom.

- Appointment of the Attorney General of India:
The Attorney General of India is the highest-ranking law officer in the country. The appointment of the Attorney General is mentioned in Article 76 of the Indian Constitution. Here's how the appointment process works:

1. Appointed by the President: The President of India appoints the Attorney General of India. The President exercises this power on the advice of the Prime Minister.

2. Qualifications: The person appointed as the Attorney General must be qualified to be appointed as a judge of the Supreme Court.

3. Role and Responsibilities: The Attorney General represents the Government of India in legal matters and provides legal advice to the government. They also perform various other functions as specified in the Constitution.

- Appointment of the Comptroller and Auditor General of India:
The Comptroller and Auditor General (CAG) of India is responsible for auditing the accounts of the central and state governments. The appointment of the CAG is mentioned in Article 148 of the Indian Constitution. Here's how the appointment process works:

1. Appointed by the President: The President of India appoints the CAG of India. The President exercises this power on the advice of the Prime Minister.

2. Recommended by a Committee: Before making the recommendation, the President consults with a committee consisting of the Prime Minister, the Speaker of the Lok Sabha (lower house of Parliament), and the Leader of the Opposition in the Lok Sabha.

3. Qualifications: The person appointed as the CAG must have qualifications and experience similar to that of a judge of the Supreme Court.

4. Role and Responsibilities: The CAG is responsible for auditing the accounts of the central and state governments, ensuring transparency and accountability in the financial operations of the government.

In conclusion, the Attorney General of India is appointed by the President on the advice of the Prime Minister, while the Comptroller and Auditor General of India is appointed by the President after consulting with a committee consisting of the Prime Minister, the Speaker of the Lok Sabha, and the Leader of the Opposition in the Lok Sabha.