Consider the following statements regarding the mineral resources of Bihar: 1. Glauconite, a potassium-rich clay mineral, has been discovered in the greensand beds of the Vindhyan Supergroup in Rohtas district. 2. Nickel and Chromium mineralizations have been reported from the ultrabasic rocks of the Gaya and Jehanabad districts. 3. Minor Gondwana coal occurrences have been identified in the Mandar Hill area of Banka district. 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?