The correct answer is option 2, Kumaragupta I. The University of Nalanda was established during the Gupta Empire in India. It was an ancient center of learning and one of the first residential universities in the world. Kumaragupta I was a prominent Gupta ruler who reigned during the 5th century CE. He was known for his patronage of learning and the arts. Under his reign, Nalanda University flourished and became a renowned institution for Buddhist studies and other subjects. The university attracted scholars and students from various parts of India and even from other countries. It had a well-organized curriculum, excellent infrastructure, and a rich library that housed thousands of texts. The University of Nalanda played a crucial role in the development and transmission of knowledge during the Gupta period and continued to thrive until it was destroyed by invaders in the 12th century.