Consider the following dynasties:
1. Hoysala
2. Gahadavala
3. Kakatiya
4. Yadava

How many of the above dynasties established their kingdoms in early eighth century AD?

Correct Option: None

None of the listed dynasties—Hoysalas, Gahadavalas, Kakatiyas, and Yadavas—established their kingdoms in the early eighth century AD. They rose to prominence much later, primarily between the 10th and 12th centuries AD during the post-Gupta/early medieval period.