Statement I is not correct: Malegitti Shivalaya in Badami is an early 7th-century Early Chalukyan temple built strictly in the Southern Dravida style, featuring a multi-tiered, pyramidal vimana topped with an octagonal dome-like structure.
Statement II is correct: The Huchimalligudi Temple at Aihole, also built by the Early Chalukyas, is an experimental structure that incorporates a distinct northern Rekha-Nagara shikhara (curvilinear tower) over its sanctum.
Statement III is correct: The Dashavatara Temple at Deogarh is a classic Gupta-period temple (6th century CE) celebrated as one of the earliest surviving standalone stone temples in North India to feature a tiered, classic Nagara-style shikhara.
Statement IV is not correct: The Virupaksha Temple at Pattadakal represents the absolute pinnacle of early Chalukyan Dravida architecture. Modeled after the Kailasanatha temple in Kanchipuram, it features a prominent Southern-style pyramidal vimana rather than a Northern Nagara shikhara.
Source: https://asi.nic.in/pages/WorldHeritagePattadakal
https://whc.unesco.org/en/tentativelists/5972/
The Notification for the Civil Services Examination, 2021 was released by the Commission on March 04, 2021. The notification contains all the details related to the examination dates, number of vacancies, eligibility criteria, syllabus, application process, fee, exam centers etc. The exam is being conducted to fill in 712 vacancies as listed in the notification with 22 vacancies reserved for Persons with Benchmark Disability. The Preliminary examination will be held on October 10 2021. Candidates can visit the Commission’s website  to fill the application form. Detailed instructions for filling up online applications have been provided on the website. The application window was closed on March 24 2021. The admit cards for the Preliminary Examination were made available from September 16 2021. The admit cards can be downloaded from the Commission’s website on the above mentioned link.