Expected Weightage

The Common University Entrance Test (CUET) has included Linear Programming (LP) as part of the Mathematics/Applied Mathematics syllabus. Below is an analysis of the chapter-wise weightage and marking pattern for Linear Programming in CUET over the last three years (2022–2024), based on available trends and student reports.

1. Linear Programming in CUET: Overview

• Syllabus Coverage :

• Formulation of LP problems

• Graphical solution of LP problems (feasible region, optimal solution)

• Corner point method

• Applications in real-life problems

• Difficulty Level :

• Generally moderate , with straightforward questions on graphical solutions and formulation.

• Few application-based questions (e.g., optimization in business/economics).

2. Chapter-Wise Weightage (2022–2024)

Linear Programming is a small but consistent topic in CUET Mathematics. Here’s the approximate weightage:

Observations : - LP questions are not frequent but appear consistently (1–3 questions/year). - Marks vary between 4–12 per year (typically 5–7% of the Mathematics section). - In 2024 , slight increase in application-based questions.

3. Topic-Wise Breakdown

Questions are usually divided into: 1. Formulation of LP Problems (30–40%) : - Word problems (e.g., maximizing profit/minimizing cost). 2. Graphical Solution (50–60%) : - Identifying feasible regions, corner points, optimal solutions. 3. Applications (10–20%) : - Real-life scenarios (diet problems, production optimization).

Example Questions : - “A company produces two products, A and B. Maximize profit given constraints…” - “Solve graphically: Maximize $ Z = 3x + 4y $ subject to $ x + y \leq 5 $, $ x \geq 0 $, $ y \geq 0 $.”

4. Marking Scheme

• Correct Answer : +5 marks (CUET’s standard marking).
• Incorrect Answer : -1 (negative marking in some years; verify yearly updates).
• Unattempted : 0.

5. Preparation Tips

1. Focus Areas : Graphical method (plotting constraints, shading feasible regions). Corner point technique (calculating values at vertices).

2. Practice : NCERT Class 12 Chapter 12 (Exercise 12.1, 12.2). Solve past CUET/JEE Main LP questions.

3. Avoid : Overlooking word problems (practice formulation).

6. Conclusion

• LP is a low-weightage but high-scoring topic in CUET.
• Expect 1–3 questions (4–12 marks) yearly, mostly graphical solutions.
• Prioritize NCERT-based practice for quick marks.

For the latest updates, refer to the official NTA CUET syllabus (https://cuet.nta.nic.in/).

Would you like a topic-wise difficulty analysis or book recommendations?

Last edited by a moderator: Jun 12, 2025