The correct answer is: Tamil.
The Madras Presidency was a British Indian province that existed from 1639 to 1947. It was located in the southern part of India, and included the present-day states of Tamil Nadu, Andhra Pradesh, Karnataka, Kerala, and Puducherry.
The Madras Presidency was a major center of Tamil culture and language. Tamil was the official language of the presidency, and was used in government, education, and the courts.
After India gained independence in 1947, the Madras Presidency was divided into several smaller states. However, the presence of Tamil language and culture in Andhra Pradesh continues to this day.
The other options are incorrect because they are not languages that are spoken in Andhra Pradesh.
- Malayalam is a Dravidian language spoken by about 35 million people in India and Sri Lanka. It is the official language of the state of Kerala.
- Marathi is an Indo-Aryan language spoken by about 83 million people in India. It is the official language of the state of Maharashtra.
- Odia is an Indo-Aryan language spoken by about 39 million people in India. It is the official language of the state of Odisha.