CAT Quantitative Aptitude Syllabus 2026: Topics, Weightage, Questions with Solutions & Preparation

CAT Quantitative Aptitude Syllabus 2026: Overview

The CAT QA syllabus is largely based on fundamental school-level mathematics, with questions focusing more on application and logical reasoning than on advanced mathematical concepts. The section broadly covers the following areas:

Area	Key Topics	What It Tests
Arithmetic	Percentages, Profit and Loss, Ratio and Proportion, Averages, Time, Speed and Distance, Time and Work, Interest, Mixtures and Alligation	Real-life application and calculation
Algebra	Equations, Inequalities, Functions, Logarithms, Progressions, Algebraic Expressions and Surds	Logical manipulation and problem-solving
Geometry and Mensuration	Triangles, Circles, Polygons, Coordinate Geometry and Mensuration	Visualisation and application of geometric properties
Number System	Divisibility, Remainders, HCF and LCM, Factors and Unit Digits	Number properties and logical reasoning
Other topics commonly grouped under Modern Mathematics	Permutation and Combination, Probability and Set Theory	Counting, probability and logical reasoning

Since the number of questions from each topic can vary across slots and years, candidates should build a broad understanding of the CAT syllabus rather than relying only on high-weightage topics.

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CAT Quantitative Aptitude Topics

1. Arithmetic

Arithmetic has generally accounted for a substantial share of QA questions in recent CAT papers, making it a useful starting point for preparation. Prepare topics such as Percentages, Profit and Loss, Ratio and Proportion, Averages, Time, Speed and Distance (TSD), Time and Work, Simple and Compound Interest, and Mixtures and Alligation. Focus on understanding relationships between concepts rather than memorising formulas.

2. Algebra

Cover Linear and Quadratic Equations, Inequalities, Functions, Progressions, Algebraic Expressions, Logarithms and Surds. Practise translating word problems into equations and solving inequalities using appropriate methods.

3. Geometry and Mensuration

Prepare Lines and Angles, Triangles, Circles, Quadrilaterals, Polygons, Mensuration and Coordinate Geometry. Understand concepts such as triangle similarity, the Pythagorean theorem and the properties of circles. Drawing diagrams can help you understand relationships and solve questions more efficiently.

4. Number System

The Number System includes Divisibility, Factors and Multiples, HCF and LCM, Remainders, Unit Digits and Number Properties. Although some questions may appear straightforward, they can require careful reasoning and an understanding of number properties.

5. Other Topics Commonly Grouped Under Modern Mathematics

This preparation category includes Permutation and Combination, Probability and Set Theory. Focus on understanding the underlying concepts and practising different question formats.

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CAT Quantitative Aptitude Topic-Wise Weightage

CAT does not follow a fixed topic-wise question distribution. The following table presents estimated trends based on the slot-wise analysis cited for CAT 2025. Treat these figures as a preparation guide, not as a guaranteed distribution for CAT 2026.

Area	Approximate Questions (Out of 22)	Relative Importance
Arithmetic	7–9	Very High
Algebra	4–6	High
Geometry and Mensuration	3–4	Medium
Number System	3–4	Medium
Other topics commonly grouped under Modern Mathematics	1–4	Low to Medium

Arithmetic and Algebra have accounted for a substantial share of QA questions in recent CAT papers, making them useful starting points for preparation. However, candidates should also prepare Number System, Geometry and other topics rather than leaving entire areas untouched.

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CAT Quantitative Aptitude Exam Pattern and Question Types

CAT 2025 had 68 questions overall, including 22 questions in QA. If CAT 2026 follows the recent structure, QA would again have 22 questions. Candidates should check the official CAT 2026 notification for the final exam pattern.

Feature	Details
Total QA questions	22 in recent CAT papers
Time allotted	40 minutes in the recent pattern
Question types	Multiple-choice questions (MCQs) and Type-In-The-Answer (TITA) questions
Marking pattern in recent CAT papers	+3 for a correct answer
Negative marking in recent CAT papers	−1 for an incorrect MCQ; no negative marking for an incorrect TITA response
Unattempted questions	No marks awarded or deducted under the recent pattern
Maximum QA marks	66, if the 22-question structure and recent marking pattern apply

The final CAT 2026 marking scheme should be checked against the official notification.

Candidates may encounter different kinds of QA questions, including direct concept-based questions, application-based word problems, calculation-intensive questions and multi-concept problems that combine areas such as Algebra and Number System.

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CAT Quantitative Aptitude Questions with Solutions

Topic-wise practice sheets can help candidates build their understanding and speed. Set a timer and attempt the questions before checking the solutions. The solutions should explain both the correct answer and the steps required to reach it.

Topic	Questions / Practice Sheet
Arithmetic	Download PDF
Algebra	Download PDF
Geometry and Mensuration	Download PDF
Number System	Download PDF
Other topics commonly grouped under Modern Mathematics	Download PDF

How to use these practice sheets

Attempt the complete sheet within a reasonable time limit before checking the solutions. Mark questions that you guessed correctly and review them carefully. Record every mistake in an error log and identify its cause, such as a conceptual gap, calculation error, misreading or time pressure. Reattempt incorrect questions after a few days to check whether you have understood the underlying concept.

CAT Arithmetic Questions with Solutions

Arithmetic has generally accounted for the largest share of QA questions in recent CAT papers. Practising its major subtopics can help candidates strengthen their fundamentals and improve calculation speed.

Topic	Questions / Practice Sheet	Answer Key / Solution Sheet
Percentages	[Download Practice Sheet (PDF)]	[Download Solutions (PDF)]
Profit and Loss	[Download Practice Sheet (PDF)]	[Download Solutions (PDF)]
Ratio and Proportion	[Download Practice Sheet (PDF)]	[Download Solutions (PDF)]
Averages	[Download Practice Sheet (PDF)]	[Download Solutions (PDF)]
Time and Work	[Download Practice Sheet (PDF)]	[Download Solutions (PDF)]
Time, Speed and Distance	[Download Practice Sheet (PDF)]	[Download Solutions (PDF)]
Simple and Compound Interest	[Download Practice Sheet (PDF)]	[Download Solutions (PDF)]
Mixtures and Alligation	[Download Practice Sheet (PDF)]	[Download Solutions (PDF)]

Preparation tip: Start with Percentages and Ratio and Proportion because these concepts are useful for solving questions across several Arithmetic topics.

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CAT Quantitative Aptitude Preparation Strategy

A structured preparation approach can help candidates cover the syllabus while improving speed, accuracy and question selection.

1. Understand the Syllabus and Exam Pattern

Familiarise yourself with the major QA topics and the recent exam structure. Check the official CAT 2026 notification for the final pattern and marking scheme.

2. Strengthen Your Fundamentals

Build a clear understanding of mathematical concepts before moving to more difficult questions. Maintain a formula and concept sheet for quick revision.

3. Practise Topic-Wise Questions

Start with easy questions and gradually progress to moderate and difficult ones. Practise CAT previous-year questions to understand how concepts are tested.

4. Introduce Timed Practice Gradually

Gradually introduce timed practice to improve speed, accuracy and question-selection skills. Once you are comfortable with individual topics, attempt sectional tests and full-length mock tests.

5. Revise High- and Lower-Weightage Topics

Use mock-test results to identify your strengths and weaknesses. Allocate more time to topics that need improvement while continuing to revise lower-weightage topics so that you do not leave major areas completely unprepared.

Accuracy is important because an incorrect MCQ attracts a one-mark penalty under the recent CAT marking pattern. Focus on solving questions correctly and selecting the right questions to attempt, rather than prioritising speed alone.

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CAT QA Preparation Strategy for Beginners

Candidates who are beginning their preparation do not need to start with difficult CAT-level questions immediately. First, strengthen basic mathematical skills such as fractions, percentages, squares, cubes and elementary algebra.

Once the fundamentals are clear, build your preparation across Arithmetic, Algebra, Geometry, Number System and other commonly tested areas. You can adjust the order according to your strengths and weaknesses.

Begin with easier questions and gradually increase the difficulty level. Practise regularly and set aside consistent daily study time according to your overall preparation schedule. Revise previously covered topics to retain concepts and formulas.

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CAT Quantitative Aptitude PYQs, Mock Tests and Practice

Previous-year question papers show how CAT frames questions. They provide insight into the CAT difficulty level, frequently tested topics and the way concepts are combined.

[Link: CAT QA PYQs with Solutions]

Mock tests can help candidates improve calculation speed, time management, question selection and accuracy. Practise both sectional and full-length tests to become familiar with the examination format.

[Link: CAT Sectional Mock Tests]

[Link: CAT Full-Length Mock Tests]

Analyse Every Mock Test

Spend meaningful time analysing each mock after completing it. Review the same amount of time, or more if necessary, to understand your mistakes and missed opportunities. Identify conceptual misunderstandings, calculation errors, questions that took too long and questions you should have skipped but attempted.

Use these insights to target your weak areas and improve your performance in subsequent tests.

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Common Mistakes and CAT QA Preparation Tips

Common Mistakes

• Memorising formulas without understanding the concepts: Learn how and when to apply a formula rather than relying on memorisation alone.
• Spending too long on one question: Avoid getting stuck on a difficult problem when other questions may be more manageable.
• Ignoring weak areas: Identify topics that repeatedly cause mistakes and allocate sufficient time to improving them.
• Making calculation errors: Practise calculations regularly and check your working when possible.
• Relying only on mock questions: Practise previous-year CAT questions as well as mock questions to understand the actual question styles used in the examination.
• Taking mocks without analysing them: Review every test to identify recurring mistakes and improve your strategy.

Preparation Tips

Revise formulas and concepts regularly. Practise calculations, strengthen your fundamentals and build your preparation across the major QA topics. Use previous-year questions to understand how concepts are tested, and develop question-selection skills by attempting manageable questions before spending time on difficult ones.

Maintain an error log that records your mistakes and their causes. Analyse each mock test and revisit similar questions to check whether your approach has improved.

Explore CAT Score vs Percentile with Expected Scores, Percentile Trends and Analysis

Best Books and Resources for CAT Quantitative Aptitude

Use books to build concepts and previous-year questions and mock tests to develop exam readiness. Rather than collecting too many resources, choose a manageable set of preparation materials and revise them thoroughly.

Resource	Author / Source	Best For
How to Prepare for Quantitative Aptitude for the CAT	Arun Sharma	Concept building and graded practice
Quantitative Aptitude for CAT	Nishit K. Sinha	Topic-wise practice and explanations
Quantum CAT	Sarvesh K. Verma	Extensive question bank and challenging problems
NCERT Mathematics (Classes 6–10)	NCERT	Strengthening mathematical fundamentals
[Link: CAT Previous-Year Papers]	Official CAT papers or a reliable source	Understanding actual question styles and difficulty
[Link: CAT Mock Test Series]	Online platforms	Speed, accuracy and time management

Conclusion

The CAT Quantitative Aptitude section rewards candidates who understand mathematical concepts, practise consistently and manage their time effectively. Arithmetic and Algebra have accounted for a substantial share of questions in recent CAT papers, while candidates should also prepare Geometry, Number System and other QA topics to avoid leaving potential scoring opportunities.

Consistent practice, effective question selection, time management and accuracy are key to improving CAT QA performance. Candidates should practise previous-year questions, attempt topic-wise practice sets, take mock tests regularly and analyse their mistakes. They should also check the official CAT 2026 notification for the final question distribution, sectional duration and marking scheme.