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← CBSE Class 12 PYQ
Linear Programming
CBSE Class 12 · Mathematics · 31 past questions
Topic
Graphical solution: maximisation
7
Corner points and feasible region from constraints
5
Evaluating objective function at corner points
5
LPP terminology and basics
5
Graphical solution: minimisation
4
Theory of optimal solutions
4
Applied and case-based LPP
1
Level
Easy
13
Moderate
18
Year
2026
7
2025
9
2024
7
2023
8
Q1
2026
The feasible region of a linear programming problem with objective function $Z = 5x + 7y$ is shown below…
(with a figure)
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Q2
2026
The degree of an objective function of a linear programming problem is
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Q3
2026
Solve the following linear programming problem graphically…
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Q4
2026
In a linear programming problem, the linear function which has to be maximized or minimized is called
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Q5
2026
For the feasible region shown below, the non-trivial constraints of the linear programming problem are
(with a figure)
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Q6
2026
Solve the following linear programming problem graphically…
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Q7
2026
Solve the following Linear Programming Problem graphically…
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Q8
2025
The corner points of the feasible region in graphical representation of a L.P.P. are (2, 72), (15, 20) and…
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Q9
2025
If the feasible region of a linear programming problem with objective function $Z = ax + by$, is bounded…
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Q10
2025
Solve the following linear programming problem graphically…
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Q11
2025
A factory produces two products X and Y. The profit earned by selling X and Y is represented by the objective…
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Q12
2025
Direction : Question number 19 and 20 are Assertion (A) and Reason (R) based questions. Two statements are…
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Q13
2025
Solve the following linear programming problem graphically…
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Q14
2025
The corner points of the feasible region of a Linear Programming Problem are $(0,2)$, $(3,0)$, $(6,0)$…
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Q15
2025
Questions number 19 and 20 are Assertion and Reason based questions. Two statements are given, one labelled…
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Q16
2025
Solve the following Linear Programming Problem using graphical method…
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Q17
2024
A linear programming problem deals with the optimization of a/an…
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Q18
2024
The number of corner points of the feasible region determined by constraints $x \geq 0$, $y \geq 0$…
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Q19
2024
Solve the following linear programming problem graphically…
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Q20
2024
The restrictions imposed on decision variables involved in an objective function of a linear programming…
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Q21
2024
Of the following, which group of constraints represents the feasible region given below ?
(with a figure)
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Q22
2024
Solve the following linear programming problem graphically…
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Q23
2024
The common region determined by all the constraints of a linear programming problem is called…
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Q24
2023
The number of feasible solutions of the linear programming problem given as…
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Q25
2023
The feasible region of a linear programming problem is shown in the figure below : Which of the following are…
(with a figure)
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Q26
2023
Determine graphically the minimum value of the following objective function…
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Q27
2023
The corner points of the feasible region in the graphical representation of a linear programming problem are…
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Q28
2023
The number of corner points of the feasible region determined by the constraints $x - y \ge 0$…
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Q29
2023
Solve graphically the following linear programming problem…
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Q30
2023
The objective function $Z = ax + by$ of an LPP has maximum value 42 at $(4, 6)$ and minimum value 19 at…
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Q31
2023
Solve the following linear programming problem graphically…
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