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JEE Main - Mathematical Reasoning Notes (Free PDF Download)

Last updated date: 21st May 2024
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Study Smart With JEE Main - Mathematical Reasoning Notes and Important Topics

Get ready for your JEE Main exam by getting hold of important Mathematical Reasoning Notes. Our expert teachers create these notes to make tough concepts easy, highlight important stuff, and cover important topics. You can get them for FREE from our website. These notes give you all the important info you need in a simpler way, helping you study better. You'll understand the subjects well and be well-prepared for the exam after reviewing these notes. Use these helpful resources to do great in JEE Main.


JEE Main Revision Notes


Text, Images, Videos and PDF


JEE Main

Chapter Name:

Mathematical Reasoning

Academic Session:



English Medium



Available Material:

Chapter-wise Notes with PDF

The Mathematical Reasoning chapter covers the study of logical reasoning and mathematical proof techniques. This is a crucial chapter for JEE Main Exams, and you can expect at least 1 to 2 questions from it. Check out how many questions were asked from the Mathematical Reasoning chapter in the last five years of JEE Main exams.

Year Wise Weightage of Questions: JEE Main Integral Calculus

Sl. No.


Average No. Of Questions Asked

Marks Per Question

Total Marks





















Take the chance to elevate your preparation with our Mathematical Reasoning Notes. It covers the JEE Main Maths syllabus, which you can download for FREE.

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Top Concepts To Study in Mathematical Reasoning for JEE Main 2025

Here, you will look at the main topics you should review in Mathematical Reasoning. These crucial topics can truly improve your preparation. Good at them will give you a big advantage in the upcoming test. So, let's discuss the essential topics you need to consider for success in JEE Main 2025.

  • Introduction to Mathematical Reasoning

  • Statements and Logical Connectives

  • Truth Tables

  • Conditional Statements

  • Logical Equivalence

  • Quantifiers and Predicates

  • Validity of Arguments

  • Mathematical Proof Techniques

  • Sets and Propositional Functions

  • Applications in Mathematics

JEE Main Maths Notes: Chapter-wise links 2025

Download for Free and Learn JEE Main Maths Chapter-wise Notes. Get the links from the table below:

Why Notes of Mathematical Reasoning Important For JEE Main 2025?

As you embark on your journey to conquer JEE Main 2025, the significance of Mathematical Reasoning notes becomes paramount. This chapter, although seemingly distinct, plays a pivotal role in honing your problem-solving skills, nurturing logical thinking, and expanding your mathematical horizons beyond the equations and formulas. Let's delve into why these notes are crucial for your success:

Logical Foundation:

Mathematical Reasoning notes lay the groundwork for developing a logical mindset, an essential skill for dissecting complex problems.

Problem-solving Acumen:

By exploring various types of reasoning, these notes equip you with diverse approaches to solving intricate problems efficiently.

Real-world Application:

The concepts in this chapter resonate beyond exams, finding relevance in decision-making, critical thinking, and problem-solving scenarios in various fields.

Mathematical Rigor:

Mathematical Reasoning notes instill rigor in your thought process, fostering a systematic approach to tackling mathematical challenges.

Pattern Recognition:

Learning about sequences, series, and patterns enhances your ability to identify and predict trends, a skill valuable in mathematics and beyond.

Analytical Thinking:

These notes cultivate your ability to analyze information critically, an attribute that can be applied to a wide array of academic and professional pursuits.

Enhanced Communication:

Mastery of mathematical reasoning enhances your ability to articulate ideas and solutions effectively, an asset in any domain.

JEE Main Relevance:

While seemingly abstract, this chapter's concepts occasionally find their way into the JEE Main paper, making the notes an investment in comprehensive preparation.

Complementary to Other Topics:

Mathematical Reasoning notes complement other chapters, enriching your toolkit to approach diverse problem types.

Exposure to Abstract Concepts:

The notes introduce you to abstract mathematical ideas, fostering comfort with unconventional problem-solving methods.

Formula-Memory Connection: Strengthening Knowledge with Revision Notes

Equations are more than just symbols –They're your secret code to solve problems in Maths. When you understand formulas, you can easily handle tricky ideas and feel more sure of yourself.  Use the equation with JEE Main Maths Revision notes to improve studying. Check out our JEE Main Maths formula pages and begin your journey to prepare for JEE Main now!

Important Formulas of Mathematical Reasoning

1. Logical Connectives:

Conjunction (AND): $p \wedge q$

Disjunction (OR): $ p \vee q$

Negation (NOT): $\neg p$

2. Implication: 

$p \rightarrow q$

3. Equivalence: 

$p \leftrightarrow q$

4. Converse, Inverse, and Contrapositive:

Converse: $q \rightarrow p$

Inverse: $\neg p \rightarrow \neg q$

Contrapositive: $\neg q \rightarrow \neg p$

5. Biconditional Statements: 

$p \leftrightarrow q \text{ is equivalent to } (p \rightarrow q) \wedge (q \rightarrow p)$

Explore Further: Supplementary Resources for JEE Main 2025 Mathematical Reasoning

Looking to enhance your JEE Main 2025 Mathematical Reasoning preparation? Explore these Important materials:

  • Practice Papers: Enhance your abilities through focused practice.

  • MockTests: Replicate exam scenarios for increased confidence.

  • Sample Papers: Get acquainted with question formats.

  • Previous Year Question Papers (PYQPs): Understand exam patterns.

Use these tools to improve comprehension and test-taking skills, boosting your JEE Main 2025 performance!

Access the supplementary resources for JEE Main 2025 here:

Enhance Your Results with Vedantu’s JEE Main Notes

As you work hard to do well in JEE Main 2025, think of Mathematical Reasoning Notes as your helpful friend. They simplify hard things, show what's important, and let you practice, which improves your study. Vedantu's JEE Main notes help you and you'll understand things, solve problems without fear, and do well in the exam. Get the Mathematical Reasoning Revision Notes for FREE to improve and succeed in JEE Main 2025.

FAQs on JEE Main - Mathematical Reasoning Notes (Free PDF Download)

1. What are the most important topics included in Mathematical Reasoning Notes for JEE Main 2025?

Important topics in JEE Main 2025 Mathematical Reasoning Notes include:

  • Sets, Relations, and Functions.

  • Mathematical induction and logic.

  • Number theory and divisibility.

  • Sequences, series, and patterns.

  • Combinatorics and counting principles.

2. What is the weightage of Mathematical Reasoning Notes for JEE Main 2025?

The weightage of Mathematical Reasoning Notes in JEE Main 2025 is typically around 5-7% of the overall mathematics section, making it an essential but relatively smaller part of the exam.

3. Which is the easiest topic of JEE Main 2025 Mathematical Reasoning Notes?

The easiest topic can vary from student to student, but many find basic concepts of sets, relations, and functions relatively straightforward.

4. What are the Mathematical Reasoning in the context of JEE Main 2025?

Mathematical Reasoning in the context of JEE Main 2025 involves understanding logical thinking, pattern recognition, and using mathematical concepts to solve problems.

5. What are the expected difficulty level of JEE Main Mathematical Reasoning questions?

Mathematical Reasoning questions in JEE Main typically range from moderate to slightly challenging. They test your ability to think logically and apply mathematical concepts effectively.