Explore: All CBSE Class 12 chapters · CBSE Class 12 Mathematics PYQs · CBSE Class 12 hub · Syllabus & pattern · Class 12 2026
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Linear Programming PYQs (previous year questions) for CBSE Class 12: Linear Programming (Mathematics) had 19 questions across the 50 official CBSE Class 12 papers we tagged (2016–2026), and appeared in 9 of them. Asked in 9 of 10 years. The concepts asked in the most papers: LPP Graphical Method, Corner Point Method, Feasible Region.
Year-wise question count
Asked in 9 of 10 years.
Most-asked concepts
Sorted by the number of papers a concept appeared in.
| Concept | Questions | Papers | Years |
|---|---|---|---|
| LPP Graphical Method | 9 | 9 | 2026, 2025, 2024, 2023, 2020, 2019, 2018, 2017, 2016 |
| Corner Point Method | 4 | 4 | 2026, 2025, 2023, 2020 |
| Feasible Region | 3 | 3 | 2025, 2024, 2023 |
| LPP Basics | 2 | 2 | 2026, 2024 |
| LPP Formulation | 1 | 1 | 2017 |
How to practise Linear Programming PYQs
- Start with the concepts at the top of the table. They have come back the most.
- Solve one year’s Linear Programming questions from the official PDF against the clock, then check the answer listed below.
- Log every miss as a concept gap, a calculation slip or a misread. Each needs a different fix.
- Once a concept is clean in two papers, move to the next. Then sit a full paper from the year pages.
Questions by year
Each line gives the question number and paper, type, concept, our one-line summary, with a link to the official PDF.
CBSE Class 122026
- Q.17 (Mathematics (65/1/1)) · MCQ · Corner Point Method: Max minus min of Z = 5x + 7y on a shown feasible region PDF
- Q.18 (Mathematics (65/1/1)) · MCQ · LPP Basics: Degree of the objective function of an LPP PDF
- Q.30 (Mathematics (65/1/1)) · Short answer · LPP Graphical Method: Minimise Z = 13x - 15y graphically under constraints PDF
CBSE Class 122025
- Q.14 (Mathematics (65/1/1)) · MCQ · Corner Point Method: Locate max and min of Z = 18x + 9y at given corner points PDF
- Q.16 (Mathematics (65/1/1)) · MCQ · Feasible Region: Existence of max and min for a bounded feasible region PDF
- Q.27 (Mathematics (65/1/1)) · Short answer · LPP Graphical Method: Maximise Z = x + 2y graphically under constraints PDF
CBSE Class 122024
- Q.10 (Mathematics (65/1/1)) · MCQ · LPP Basics: Type of function optimised in a linear programming problem PDF
- Q.17 (Mathematics (65/1/1)) · MCQ · Feasible Region: Number of corner points of an unbounded feasible region PDF
- Q.30 (Mathematics (65/1/1)) · Short answer · LPP Graphical Method: Maximise z = 500x + 300y graphically under constraints PDF
CBSE Class 122023
- Q.17 (Mathematics (65/1/1)) · MCQ · Corner Point Method: Locate max and min of z = 18x + 9y at given corner points PDF
- Q.18 (Mathematics (65/1/1)) · MCQ · Feasible Region: Number of corner points of a feasible region from constraints PDF
- Q.29 (Mathematics (65/1/1)) · Short answer · LPP Graphical Method: Maximise z = 6x + 3y graphically under constraints PDF
CBSE Class 122020
CBSE Class 122019
- Q.29 (Mathematics (65/1/1)) · Long answer II · LPP Graphical Method: Maximise profit on two models with skilled/semi-skilled hours PDF
CBSE Class 122018
- Q.29 (Mathematics (65/1)) · Long answer II · LPP Graphical Method: Maximise profit on two types of screws with machine time limits PDF
CBSE Class 122017
CBSE Class 122016
- Q.25 (Mathematics (65/1/N)) · Long answer II · LPP Graphical Method: Maximise returns from investing in two bonds with constraints PDF
Other Mathematics chapters
- Relations and Functions PYQs
- Inverse Trigonometric Functions PYQs
- Matrices PYQs
- Determinants PYQs
- Continuity and Differentiability PYQs
- Application of Derivatives PYQs
- Integrals PYQs
- Application of Integrals PYQs
- Differential Equations PYQs
- Vector Algebra PYQs
- Three Dimensional Geometry PYQs
- Probability PYQs
FAQ
How many Linear Programming questions come in CBSE Class 12?
In the official papers we tagged: 3 in 2026, 3 in 2025, 3 in 2024, 3 in 2023, 2 in 2020, 1 in 2019, 1 in 2018, 2 in 2017 and 1 in 2016. Not asked in the other year. That is 19 questions in all, about 6% of Mathematics.
Which Linear Programming topics repeat in CBSE Class 12?
Asked in the most papers: LPP Graphical Method, Corner Point Method, Feasible Region. The concept table lists every one with its count.
Are these official CBSE Class 12 questions?
Yes. Every question is from an official CBSE Class 12 paper hosted on our year pages. The one-line summaries are ours; open the PDF linked beside each question for the full text.