Famous cave temples at Ajanta and Ellora were built during the rule of the:

Satavahanas
Kadambas
Chalukyas
Rashtrakutas

The correct answer is: C) Chalukyas.

The Chalukyas were a dynasty of Indian kings who ruled over large parts of the Deccan Plateau from the 6th to the 12th centuries. They were patrons of art and architecture, and many of their temples are considered to be masterpieces of Indian art. The cave temples at Ajanta and Ellora were built during the rule of the Chalukyas, and they are some of the most famous examples of Indian cave architecture.

The Satavahanas were a dynasty of Indian kings who ruled over large parts of the Deccan Plateau from the 2nd century BCE to the 3rd century CE. They were patrons of art and architecture, but their temples are not as well-known as those of the Chalukyas.

The Kadambas were a dynasty of Indian kings who ruled over parts of Karnataka and Goa from the 5th to the 8th centuries. They were patrons of art and architecture, but their temples are not as well-known as those of the Chalukyas or the Satavahanas.

The Rashtrakutas were a dynasty of Indian kings who ruled over large parts of the Deccan Plateau from the 8th to the 10th centuries. They were patrons of art and architecture, and their temples are considered to be masterpieces of Indian art. However, the cave temples at Ajanta and Ellora were built during the rule of the Chalukyas, not the Rashtrakutas.

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