According to the accounts of the Greek historian Herodotus, consider the following statements regarding the 'Indian' satrapy of the Persian Empire: 1. It was designated as the 20th satrapy of the Achaemenid Empire. 2. It paid a tribute of 360 talents of gold dust, which was the largest tribute paid by any province. 3. The Indian satrapy included the fertile areas of the Indus valley and parts of Rajasthan. Which of the statements given above 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?