CUET Mathematics 2026 14th May Shift 2 PYQs

Consider the LPP: Max $Z = 5x + 3y$ subject to $3x + 5y \leq 15, 5x + 2y \leq 10, x \geq 0, y \geq 0$

Match List-I with List-II

List-I	List-II
(A) Objective function	(I) $3x + 5y \geq 15$
(B) One constraint	(II) $x, y \geq 0$
(C) Non-negative restrictions	(III) $Z = 5x + 3y$
(D) Point $(1, 2)$ does not lie in the region	(IV) $3x + 5y \leq 15$

Choose the correct answer from the options given below:

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).

(C) The optimal value of the objective function is 12.

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

Choose the correct answer from the options given below:

The point which provides the optimal solution of the linear programming problem

maximize $z = 21x + 35y$

$3x + 2y \leq 30$

$4x + 5y \leq 60$

$x \geq 0, y \geq 0$

has the coordinates