Consider the following statements regarding the Hoysala Dynasty: I. The Hoysalas initially emerged as feudatories of the Chalukyas of Kalyana. II. The Hoysala temples are typically constructed on stellate jagatis using soapstone and display dense narrative friezes. III. King Vishnuvardhana made Belur and later Dwarasamudra prominent capitals during his rule. IV. The Hoysalas patronised Shaivism, Vaishnavism, and Jainism, contributing to religious plurality in their kingdom. How many of the above statements are correct?

With reference to the Guhilots/Sisodiyas, Rathores, and Kachwahas, consider the following statements: 1. The Guhilots ruled over Mewar with Chittor as their capital. 2. Sawai Jai Singh of the Rathore dynasty was a high-ranking noble under the Mughals. 3. Man Singh I of the Kachwahas was a trusted commander of Akbar. 4. Maharana Pratap of the Sisodiyas fought against Akbar at the Battle of Haldighati. 5. Jaswant Singh of the Kachwahas was also an astronomer. Which of the above statements are correct?

Which Paramara king authored 'Samarangana Sutradhara', an exhaustive treatise on Indian architecture and art?