Why Correct: Pulakesin I, founder of the Chalukya dynasty of Badami, performed the Ashvamedha Yajna around 543–566 CE to assert sovereignty after establishing his kingdom.
Distractor Analysis: Kirtivarman I was Pulakesin I's son who expanded the kingdom but did not perform the Ashvamedha. Pulakesin II was a later Chalukya ruler known for military campaigns against Harsha and the Pallavas, not for performing the Ashvamedha. Mangalesh was another Chalukya ruler who succeeded Kirtivarman I and ruled before Pulakesin II.
Takeaway: The Ashvamedha Yajna was a Vedic horse sacrifice ritual performed by ancient Indian kings to proclaim imperial sovereignty, with notable performers including Samudragupta of the Gupta Empire and Pushyamitra Shunga of the Shunga dynasty.

Why Correct: The Rock-cut Ratha temples at Mahabalipuram (also called Mamallapuram), built under King Narasimhavarman I in the 7th century CE, are monolithic structures carved from single granite rocks and represent the pinnacle of early Pallava rock-cut architecture.
Distractor Analysis: The temples at Madurai are primarily Dravidian-style structures built by the Nayak rulers, associated with the later Pandya and Vijayanagara periods. The temples at Tanjore (Thanjavur), like the Brihadeeswarar Temple, are Chola-era masterpieces from the 11th century. The Kailashnath Temple at Ellora is a Rashtrakuta-era rock-cut temple in Maharashtra, dating to the 8th century.
Takeaway: The Shore Temple at Mahabalipuram, also built by the Pallavas, is a structural temple (not rock-cut) and part of the Group of Monuments at Mahabalipuram, a UNESCO World Heritage Site.

Why Correct: The Chalukyas established their core empire in the Deccan plateau region, with their capital at Badami (modern Karnataka) from the 6th to 8th centuries CE.
Distractor Analysis: Gujarat was ruled by the Chalukyas' later branch, the Solankis (Chalukyas of Gujarat). Malwa was primarily under the Paramaras and other dynasties, though Chalukyas occasionally controlled parts. Far South India refers to regions like Tamil Nadu and Kerala, which were under Pallavas, Cholas, and Pandyas during the Chalukya period.
Takeaway: The Chalukyas are classified into three main branches: Badami Chalukyas (Deccan), Eastern Chalukyas (Vengi region), and Western Chalukyas (Kalyani) – all centered in the Deccan with occasional expansions.