Consider the following statements regarding Faxian's (Fa-Hien) observations of Pataliputra and the Gupta administration during the reign of Chandragupta II: 1. He noted that the citizens of Pataliputra were wealthy and benevolent, maintaining charitable hospitals (Dharma-shalas) providing free medical aid. 2. He explicitly mentioned the name of Emperor Chandragupta II in his travelogue, praising his direct judicial interventions. 3. He observed that the state did not enforce capital punishment, and crimes were mostly punished by fines graduated according to the gravity of the offense. Which of the statements given above are correct?

Options:

• A: 1 and 2 only
• B: 2 and 3 only
• C: 1 and 3 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?