Explanation:

- The Khelo India University Games 2021 were hosted by Karnataka. This event is part of the Indian government’s initiative to promote sports culture among students and to identify and nurture young talent across the country.

- Kerala is known for hosting sports events and promoting athletics, but it did not host the 2021 Khelo India University Games.

- Tamil Nadu has a strong sports culture and infrastructure; however, it was not the host for this particular event.

- Telangana actively promotes sports and youth programs but did not host the 2021 edition of the games.

- The correct option is Option 4: Karnataka.