Consider the following statements regarding the Governor's discretionary powers: **Assertion (A):** The Governor has the constitutional discretion to reserve certain bills passed by the State Legislature for the consideration of the President. **Reason (R):** The Constitution of India explicitly mandates that the Governor must act only on the aid and advice of the Council of Ministers in all circumstances without exception. Select the correct option:
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?