With reference to the Patna Conspiracy Case of 1930, consider the following statements: 1. The case was triggered by a bomb explosion in Patna in June 1930, revealing a secret bomb-making factory. 2. Lalit Kumar Mukherjee turned approver for the prosecution, which led to the conviction of several revolutionaries. 3. Suraj Nath Chaubey, a key accused, was sentenced to ten years of rigorous imprisonment as a key conspirator. Which of the statements given above are correct?

Options:

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

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?