With reference to the social structure of the 6th century BCE in the Middle Gangetic Plains, consider the following statements: 1. The term 'Gahapati' primarily designated wealthy, land-owning heads of households who emerged as key patrons of the Buddhist Sangha. 2. The 'Setthis' were high-ranking state officials responsible for collecting agricultural taxes on behalf of the Magadhan kings. 3. Both Buddhism and Jainism explicitly rejected the concept of private property, which initially alienated the merchant class. Which of the statements given above is/are correct?

Options:

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