With reference to the administration and academic curriculum of Nalanda Mahavihara as recorded by the Chinese pilgrim Xuanzang (Hiuen Tsang), consider the following statements: 1. Xuanzang mentions that the revenues of about one hundred villages were allocated by the king for the maintenance of the university's students and monks. 2. The study of Hinayana Buddhism was strictly forbidden at Nalanda, as the institution focused exclusively on Mahayana doctrines. 3. Shilabhadra, a renowned scholar of Yogacara, was the head (Abbot) of Nalanda University during Xuanzang's visit. Which of the statements given above is/are correct?

Options:

• A: 1 and 3 only
• B: 2 and 3 only
• C: 1 and 2 only
• D: 1, 2 and 3

Related Practice Questions:

• Let $S_1$ and $S_2$ be two disjoint, non-empty convex sets in $\mathbb{R}^n$. Under which of the following conditions is there guaranteed to exist a hyperplane that strictly separates $S_1$ and $S_2$?
• Let the primal linear programming problem be: Maximize $Z = c^T x$ subject to $Ax \le b, x \ge 0$. If this primal problem has an unbounded optimal objective value, then which of the following statements is always true regarding its dual problem?
• Let $S = \{(x, y) \in \mathbb{R}^2 \mid x^2 + y^2 \le 9\}$ be a convex set in $\mathbb{R}^2$. The set of all extreme points of $S$ is given by:
• In a linear programming problem with $3$ independent equality constraints and $5$ variables (including slack/surplus variables), what is the maximum possible number of basic solutions?