Consider the following statements regarding the administrative structure of NITI Aayog: 1. The Vice-Chairperson of NITI Aayog is appointed by the Prime Minister and enjoys the rank of a Cabinet Minister. 2. The Chief Executive Officer (CEO) is appointed by the President of India for a fixed tenure in the rank of Secretary to the Government of India. 3. The Governing Council of NITI Aayog includes the Chief Ministers of all States and Union Territories with Legislatures, and Lieutenant Governors of other Union Territories. 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?