Given below are two statements, one labeled as Assertion (A) and the other as Reason (R).\n **Assertion (A):** Bihar recorded the lowest overall literacy rate in India at 61.8% in the 2011 Census.\n **Reason (R):** The female literacy rate in Bihar is extremely low at 51.5%, which significantly drags down the state's overall average.\n In the context of the above statements, which of the following is correct?

Options:

• A: Both (A) and (R) are true and (R) is the correct explanation of (A).
• B: Both (A) and (R) are true but (R) is not the correct explanation of (A).
• C: (A) is true but (R) is false.
• D: (A) is false but (R) is true.

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?