Which one of the following is the common element between the Kailasana

Which one of the following is the common element between the Kailasanatha Temple at Ellora and the Shore Temple at Mamallapuram ?

Both are examples of Nagara architecture
Both are carved out from solid rocks
Both are Gupta period temples
Both were built under the patronage of Pallava Kings
This question was previously asked in
UPSC CDS-1 – 2016
This question is likely referring to the Kailasanatha Temple at Kanchipuram, not the more famous monolithic Kailasa Temple at Ellora. The Kailasanatha Temple at Kanchipuram and the Shore Temple at Mamallapuram were both significant temples built under the patronage of Pallava kings, specifically Narasimhavarman II (Rajasimha) in the late 7th and early 8th centuries CE.
Both the Kailasanatha Temple at Kanchipuram and the Shore Temple at Mamallapuram are prominent examples of structural temple architecture from the Pallava period.
The Kailasanatha Temple at Ellora is a magnificent monolithic rock-cut temple from the Rashtrakuta period (8th century CE), not the Pallava period. Assuming the question intends a valid comparison, it must refer to the Kanchipuram temple. Both temples are dedicated primarily to Shiva and showcase the advanced architectural skills under Pallava rule.