The correct answer is A) Satavahanas.
The Satavahanas were an ancient Indian dynasty that ruled over the Deccan Plateau from the 2nd century BCE to the 3rd century CE. They were the first major dynasty to rule over Telangana, and their rule was a time of great prosperity and cultural development.
The Satavahanas were founded by Simuka, who is said to have been a descendant of the Pandavas of the Mahabharata. Simuka conquered the region of Vidarbha in the 2nd century BCE, and his successors extended the kingdom to include much of the Deccan Plateau.
The Satavahanas were a tolerant and syncretic dynasty, and they patronized both Hinduism and Buddhism. They built many temples and monasteries, and they also supported the arts and literature.
The Satavahanas were eventually overthrown by the Chalukyas in the 3rd century CE, but their legacy continued to influence the region for centuries to come.
The other options are incorrect because they were not dynasties that ruled over Telangana after the decline of the Mauryan Empire.
The Chalukyas were a dynasty that ruled over the Deccan Plateau from the 6th to the 12th centuries CE. They were not founded until after the decline of the Satavahanas, and they did not rule over Telangana.
The Pallavas were a dynasty that ruled over the southern Deccan Plateau from the 3rd to the 9th centuries CE. They were not founded until after the decline of the Satavahanas, and they did not rule over Telangana.
The Cholas were a dynasty that ruled over the southern Deccan Plateau from the 9th to the 13th centuries CE. They were not founded until after the decline of the Satavahanas, and they did not rule over Telangana.