CUET Mathematics - Which of the following statements are correct about the linear programming problem (LPP)? A. Every point in the feasible region is a feasible solution of the given LPP. B. An optimal solution of an LPP, if it exists, occurs at one of the extreme points of the convex set of the feasible solutions. C. The feasible region for an LPP is always a convex set. D. If an LPP admits two optimal solutions, it has an infinite number of optimal solutions. Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2026 30th May Shift 1

Algebra

Easy

applied

A, B and D only

A, B and C only

A, B, C and D

C and D only

✅ Correct Option: 3

Related questions:

22nd May Shift 2

For the LPP,

$Z=20x+10y$

Subject to

$x+2y\le 40$

$3x+y\ge 30$

$4x+3y\ge 60$

$x,y\ge 0$

Match List-I with List-II

List-I	List-II
(A) $Max.Z$	(I) 180
(B) $Min.Z$	(II) 320
(C) $Max.Z - 2\,Min.Z$	(III) 240
(D) If $Min.Z$ is attained at $(\alpha,\beta)$ , then $\alpha^2+\beta^2$ is	(IV) 800

Choose the correct answer from the options given below:

4 Aug Shift 1

A feasible solution is :

13 May Shift 1

For the linear programming problem(LPP),

Maximize $Z = 4x + y$

$x + y \leq 5$

$3x + y \leq 9$

$x,y \geq 0$ .

Which of the following are NOT true?

(A) The given LPP has unbounded feasible region.

(B) The corner points of the feasible region are (0,0), (0, 5), (3, 2) and (3, 0).

(D) The given LPP has a unique optimal solution.

Choose the correct answer from the options given below:

CUET Mathematics 2026 30th May Shift 1 PYQs