CAT Quantitative Aptitude Syllabus 2026: Every Topic, Weightage & Prep Order
The CAT Quantitative Aptitude section tests exactly 14 core topic areas spread across four domains, and these topics have remained consistent for over a decade. Yet most aspirants either study them in the wrong order or spend equal time on all of them, which is the quickest way to waste months of preparation on topics that contribute two questions at most.
If you searched for the CAT quantitative aptitude syllabus, you likely want more than a topic list. You want to know what each topic actually contains, how often it appears, how hard it gets, and where to start. This guide gives you all of that. Every sub-topic is mapped to its weightage, difficulty tier, and recommended preparation sequence so that your Quant study plan follows the syllabus structure that actually matches the exam.
CAT Quant Section: Structure and Pattern
Before diving into the CAT quantitative aptitude syllabus topic by topic, understanding the section's structure helps you plan your approach. The Quant section has remained structurally stable since the 2015 format change.
| Parameter | Details |
|---|---|
| Total questions | 22 |
| Time allotted | 40 minutes |
| MCQ questions | 14-16 (negative marking: -1 for wrong answer) |
| TITA questions | 6-8 (Type In The Answer, no negative marking) |
| Marks per question | +3 for correct |
| Difficulty mix | ~6 easy, ~10 medium, ~6 hard |
| Calculator | On-screen calculator available |
The 40-minute time limit means you have roughly 1 minute 50 seconds per question. In practice, easy questions take 60-90 seconds, medium ones take 2-3 minutes, and hard ones can take 4+ minutes. Smart time allocation across the CAT syllabus sections is as important as topic knowledge. For a broader view of all three sections, see our CAT subjects for MBA guide.
Topic Weightage Overview
IIM does not publish an official syllabus or weightage breakdown. The numbers below are derived from analysing CAT papers from 2017 to 2025. While individual years vary, the overall distribution has remained remarkably stable.
| Area | Expected Questions | Weightage | Difficulty | Prep Priority |
|---|---|---|---|---|
| Arithmetic | 7-9 out of 22 | ~35% | Easy to Medium | Start here |
| Algebra | 5-7 out of 22 | ~27% | Medium to Hard | Second |
| Geometry & Mensuration | 4-5 out of 22 | ~22% | Medium to Hard | Third |
| Modern Maths | 3-4 out of 22 | ~15% | Easy to Medium | Fourth (but high ROI) |
Notice the pattern: Arithmetic contributes the most questions and tends to be easier. Modern Maths contributes fewer questions but they are often straightforward if you know the concepts. This distribution should directly influence how you allocate your study time across the CAT quantitative aptitude syllabus.
Arithmetic: The Highest-Weightage Area (~35%)
Arithmetic is the backbone of the CAT quantitative aptitude syllabus. It contributes 7-9 questions in most years and tends to be the most scoring area because the concepts build on fundamentals you already know from school. The challenge is speed and accuracy, not conceptual depth.
Arithmetic Sub-Topics
- Number Systems — factors, multiples, HCF/LCM, divisibility rules, remainders, base systems, prime numbers, last digit problems
- Percentages — percentage change, successive percentages, percentage-fraction conversions
- Profit, Loss & Discount — cost price/selling price relationships, successive discounts, marked price problems
- Simple & Compound Interest — SI/CI formulas, difference between SI and CI, compounding periods
- Ratio, Proportion & Variation — direct/inverse proportion, partnership problems, mixtures and alligations
- Averages & Mixtures — weighted averages, alligations rule, average of groups
- Time, Speed & Distance — relative speed, trains, boats and streams, races and circular tracks
- Time & Work — work efficiency, pipes and cisterns, alternate day work, combined work rates
Algebra: The Second Pillar (~27%)
Algebra is where the CAT quantitative aptitude syllabus starts testing abstract reasoning. Unlike Arithmetic, where problems involve real-world scenarios (prices, speeds, work rates), Algebra questions often require manipulating equations and recognising patterns. This area rewards students with strong mathematical intuition.
Algebra Sub-Topics
- Linear Equations — single variable, two variables, word problems converting to equations
- Quadratic Equations — roots, discriminant, sum/product of roots, nature of roots
- Inequalities — linear inequalities, quadratic inequalities, modulus inequalities, maxima/minima
- Functions & Graphs — domain/range, composite functions, inverse functions, graphical interpretation
- Logarithms — log properties, change of base, log equations and inequalities
- Progressions — Arithmetic Progression (AP), Geometric Progression (GP), Harmonic Progression (HP), sum formulas, special series
- Surds & Indices — simplification, rationalisation, exponent rules
Geometry and Mensuration (~22%)
Geometry is the section of the CAT quantitative aptitude syllabus that students either love or avoid entirely. Skipping it is a mistake. Even 2-3 solved Geometry questions in a 22-question section can be the difference between an 85th and 95th percentile score. The key is knowing which sub-topics to prioritise.
Geometry & Mensuration Sub-Topics
- Triangles — properties, similarity, congruence, area formulas, special triangles (30-60-90, 45-45-90), Pythagorean triplets
- Circles — tangent properties, chord properties, arc/sector area, inscribed/circumscribed circles, common tangents
- Quadrilaterals & Polygons — area of trapezium, parallelogram, rhombus; regular polygon properties; interior/exterior angle sums
- Coordinate Geometry — distance formula, section formula, slope, area of triangle using coordinates, equation of line
- Mensuration — surface area and volume of cube, cuboid, cylinder, cone, sphere; composite solids
- Lines & Angles — parallel lines cut by transversals, angle bisectors, basic angle relationships
A practical approach to Geometry: if you are weak here, focus exclusively on Triangles and Circles. These two sub-topics cover roughly 60-70% of CAT Geometry questions. You can build Quadrilateral and Mensuration knowledge later. For practice, explore CAT-style Quant questions filtered by topic.
Modern Maths: High Return on Investment (~15%)
Modern Maths contributes 3-4 questions to the CAT quantitative aptitude syllabus, but these questions are disproportionately scoring. The concepts are finite, the question patterns are predictable, and the difficulty ceiling is lower than Geometry or advanced Algebra. This makes Modern Maths one of the highest-ROI areas in CAT Quant preparation.
Modern Maths Sub-Topics
- Permutations & Combinations — arrangement vs selection, circular permutations, grouping problems, distribution problems
- Probability — basic probability, conditional probability, Bayes' theorem, expected value, independent/dependent events
- Set Theory & Venn Diagrams — two-set and three-set Venn diagrams, maxima/minima problems, complement counting
- Binomial Theorem — expansion, general term, specific term identification (rare in CAT, 0-1 question)
The Smartest Preparation Order
Knowing the CAT quantitative aptitude syllabus is step one. Studying it in the right order is step two. The sequence below is designed so that each topic builds on the one before it, and high-weightage areas are covered first.
| Order | Topic | Why This Sequence |
|---|---|---|
| 1 | Number Systems | Foundation for all Arithmetic; highest individual frequency |
| 2 | Percentages, Ratios, Averages | Prerequisite for Profit/Loss, SI/CI, Mixtures |
| 3 | Profit/Loss, SI/CI, Mixtures | Built on top of percentages and ratios |
| 4 | Time-Speed-Distance, Time-Work | Applies ratio concepts; high frequency in CAT |
| 5 | Linear & Quadratic Equations | Foundation for all Algebra topics |
| 6 | Inequalities, Functions, Logs | Increasingly tested; builds on equation skills |
| 7 | Progressions, Surds & Indices | Lower frequency; finish after high-priority Algebra |
| 8 | Triangles & Circles | Core Geometry; covers 60-70% of Geometry questions |
| 9 | Coordinate Geometry, Mensuration | Formula-driven; less visualisation needed |
| 10 | PnC, Probability, Set Theory | Finite concepts; high ROI for the time invested |
Notice the logic: Arithmetic first (highest weightage, builds foundation), then Algebra (second highest, needs equation skills), then Geometry (requires spatial reasoning built separately), and Modern Maths last (finite, can be learned quickly). This sequence aligns with how the complete CAT preparation roadmap structures the Quant portion across months.
If you are starting late or have limited time, focus on steps 1-6 and 10. These cover roughly 80% of CAT Quant questions. Steps 7-9 can be added if time permits. Understanding your preparation level will help determine which steps you can compress or skip entirely.
Syllabus Mistakes That Cost Marks
Knowing the CAT quantitative aptitude syllabus and studying it effectively are different things. These are the patterns that waste the most preparation time:
- Equal time on all topics. Spending two weeks each on 14 topics means 28 weeks just for Quant. Instead, allocate 3 weeks to Arithmetic (high weightage), 2.5 weeks to Algebra, 2 weeks to Geometry, and 1.5 weeks to Modern Maths. Then shift to practice.
- Ignoring Geometry completely. Students who skip Geometry lose 4-5 potential questions. Even basic Triangle and Circle knowledge can help you solve 2-3 of those. That is 6-9 marks, which can shift your percentile by 5-8 points.
- Memorising formulas without understanding. CAT rarely tests direct formula application. It tests whether you can recognise which concept applies to an unfamiliar problem. Understand the logic behind each formula, not just the formula itself.
- Starting with the hardest topic. Beginning with Geometry or PnC when your Arithmetic basics are shaky creates a false sense of difficulty. The most common CAT preparation mistakes stem from wrong sequencing, not lack of ability.
The Quant Preparation Sequence
- The CAT quantitative aptitude syllabus has 4 areas and roughly 14 core topic groups across 22 questions in 40 minutes.
- Arithmetic (~35%) is the highest weightage and should be studied first. Number Systems, Percentages, and Ratios are non-negotiable foundations.
- Algebra (~27%) is second. Prioritise Inequalities and Functions over Progressions.
- Geometry (~22%) cannot be skipped. Focus on Triangles and Circles for maximum coverage.
- Modern Maths (~15%) is highest-ROI: finite concepts, predictable patterns, often easy marks.
- Study order matters: Arithmetic first, then Algebra, Geometry, Modern Maths. Each area builds on the previous one.
- For the time-constrained: topics 1-6 and 10 from the preparation order cover ~80% of CAT Quant questions.
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