Arrange the following ancient sites in chronological order based on the development of temple architecture:
A. Ellora B. Ajanta C. Badami

Correct Option: B-C-A

To arrange the given ancient sites in chronological order based on the development of Indian rock-cut and structural temple architecture, we examine the timeline of construction at each site:

1. Ajanta (Site B):
The caves at Ajanta date back to two main phases: the Hinayana phase (circa 2nd century BCE to 1st century BCE) and the Mahayana phase under the Vakataka dynasty (circa 5th century CE). Ajanta represents one of the earliest examples of rock-cut architecture, chaityas, and viharas in India.

2. Badami (Site C):
Badami (formerly known as Vatapi) was the capital of the Early Chalukyas. The famous rock-cut cave temples at Badami were constructed during the 6th and 7th centuries CE (specifically around 575–600 CE under King Mangalesha). This site marks an important transitional phase leading to structural temple building in South India.

3. Ellora (Site A):
The caves at Ellora were constructed between the 6th and 10th centuries CE. The prominent Hindu caves, including the magnificent monolithic Kailashnath Temple (Cave 16), were executed under the Rashtrakuta dynasty during the 8th century CE (mid-to-late 8th century CE under King Krishna I).

Comparing the early architectural phases of these three sites:
Ajanta (circa 2nd century BCE to 5th century CE) → Badami (6th century CE) → Ellora (8th century CE onwards)

Thus, the correct chronological sequence is B-C-A.