CAT Quantitative Aptitude Syllabus 2026 PDF Download Subject Wise

Overview: Why CAT Quantitative Aptitude Syllabus Matters, The Common Admission Test (CAT) is the gateway to India's most prestigious management institutions, including the IIMs, FMS Delhi, SPJIMR, and MDI Gurgaon. Among its three sections  Verbal Ability and Reading Comprehension (VARC), Data Interpretation and Logical Reasoning (DILR), and Quantitative Aptitude (QA) the QA section is often the deciding factor for candidates targeting top percentiles.

The Quantitative Aptitude (QA) section of the CAT exam is one of the most crucial and challenging parts of the test. It evaluates a candidate’s mathematical ability, problem-solving skills, and numerical aptitude. A clear understanding of the CAT Quantitative Aptitude syllabus is essential for building a strong preparation strategy.

This guide covers everything you need to know about the CAT QA syllabus 2026 from a complete topic-wise breakdown and historical weightage analysis to a phase-wise preparation strategy.

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Quick Answer:

What Is the CAT Quantitative Aptitude Syllabus 2026? The CAT QA Syllabus 2026 covers five major areas: Arithmetic, Algebra, Geometry & Mensuration, Number Systems, and Modern Mathematics. The section has 22 questions (MCQ and TITA) to be attempted in 40 minutes. Core topics include percentages, profit & loss, linear and quadratic equations, triangles, circles, permutation & combination, number theory, and probability. No official CAT quant syllabus is published by IIM; this breakdown is based on analysis of CAT papers from 2017–2024.

Is the CAT Quantitative Aptitude syllabus officially defined?

No, CAT does not provide an official syllabus, but it is based on commonly tested topics from high school mathematics.

Download Now: CAT Quantitative Ability Syllabus 2026-27

CAT 2026 Exam Pattern: Understanding the QA Section

Before diving into the CAT Quantitative Aptitude Syllabus, it is essential to understand the exam pattern of CAT 2026 as a whole and the specific characteristics of the QA section. This context will directly influence how you allocate your study time.

Overall CAT 2026 Exam Structure

Section	No. of Questions	Time Allotted	Max Marks
Verbal Ability & Reading Comprehension (VARC)	24	40 Minutes	72
Data Interpretation & Logical Reasoning (DILR)	20	40 Minutes	60
Quantitative Aptitude (QA)	22	40 Minutes	66
Total	66	120 Minutes	198

CAT QA Section — Detailed Parameters

Parameter	Details
Total Questions	22
MCQ Questions (with options)	Approx. 14–16
TITA Questions (type-in-the-answer)	Approx. 6–8
Marks per Correct Answer	+3 for both MCQ and TITA
Negative Marking	-1 per wrong MCQ; No negative for TITA
Time Allotted	40 Minutes (strictly sectional)
Maximum Sectional Score	66
Calculator	On-screen basic calculator provided
Mode of Exam	Computer-based test (CBT)
Medium	English only

Understanding the MCQ vs TITA split is strategically important. Since TITA questions carry zero negative marking, they present an opportunity to attempt and guess intelligently without risking a score drop. However, TITA questions are generally harder to solve as they require exact answers without the benefit of answer choices to guide or verify your solution.

Practice Now: QA Previous Year Papers for CAT Exam

CAT Quantitative Aptitude Syllabus 2026: Detailed Topic-Wise Breakdown

The CAT QA syllabus can be divided into five broad topic areas. Below is an in-depth breakdown of each area, including all key subtopics, concept types, and the nature of questions you can expect in CAT 2026.

Main Topic	Subtopic	Key Concepts / Question Types
Arithmetic (30–35% weightage)	Percentages	Percentage increase/decrease, successive changes, percentage point vs % change, base value finding, applications in population, elections, mixtures
	Profit, Loss & Discount	Cost price (CP), selling price (SP), marked price (MP), discount vs MRP, successive discounts, dishonest dealer problems, partnership profit sharing
	Simple Interest & Compound Interest	SI & CI formulas, SI vs CI comparison, compounding periods (annual, quarterly, etc.), effective interest rate, depreciation
	Ratio, Proportion & Variation	Ratio properties, compounded ratios, componendo-dividendo, direct/inverse proportion, third & fourth proportional, partnership problems
	Averages, Mixtures & Alligations	Weighted averages, rule of alligation, replacement problems, moving averages
	Time, Speed & Distance	Relative speed, trains, boats & streams, circular motion, average speed, escalators & walkways
	Time & Work	Work equivalence, man-days, pipes & cisterns, workers joining/leaving, wages proportionality

Download CAT Arithmetic Questions PDF 2026

CAT Quantitative Aptitude (QA) Syllabus 2026 – Algebra

Main Topic	Subtopic	Key Concepts / Question Types
Algebra (4–6 questions)	Linear Equations	Single-variable, two-variable, three-variable systems; unique, infinite, or no solution conditions; word problems (age, digit, number); applications in mixtures, averages, profit/loss
	Quadratic Equations	Standard form, factorization, quadratic formula; discriminant & nature of roots; Vieta’s formulas; forming quadratics from root conditions; max/min of quadratic expressions; reducible-to-quadratic equations
	Inequalities & Modulus	Solving linear/quadratic inequalities algebraically & graphically; modulus inequalities
	Functions	Domain & range; composite functions f(g(x)) & inverses; even, odd, periodic functions; greatest integer & fractional part functions; graphical transformations; functional equations like f(x+y)=f(x)+f(y)
	Logarithms & Surds	Logarithm properties (product, quotient, power); change of base; logarithmic equations & inequalities; surd comparison & rationalization; exponents including negative/fractional powers
	Sequences & Series (AP, GP, HP)	nth term & sum of n terms; AM, GM, HM and AM–GM–HM inequalities; sum of special series (natural numbers, squares, cubes); infinite GP sum (

CAT Quantitative Aptitude Syllabus 2026 – Number Systems

Main Topic	Subtopic	Key Concepts / Question Types
Number Systems	Classifications & Properties of Numbers	Natural, whole, integers, rational, irrational, real numbers; properties of even/odd, positive/negative; composite, prime, co-prime; perfect, amicable, Armstrong numbers
	Divisibility & Factorisation	Divisibility rules (2–13); prime factorization; number/sum/product of divisors formulas; highest power of prime in n! (Legendre’s formula)
	HCF & LCM	Euclidean algorithm; HCF & LCM of fractions/decimals; relation between HCF, LCM, product of numbers; word problems (bells, tiles, rectangles)
	Remainders & Congruences	Cyclicity of remainders for powers; Fermat’s Little Theorem & Euler’s Theorem; Chinese Remainder Theorem basics; Wilson’s Theorem; polynomial division remainders
	Unit Digit, Last Two Digits & Base Conversions	Cyclicity of unit digits; last two digits of powers; conversions (binary, octal, decimal, hexadecimal); arithmetic in non-decimal bases
	Factorials & Special Topics	Trailing zeros in n!; highest power of composite numbers; counting numbers with specific properties in a range

CAT Quantitative Aptitude (QA) Syllabus 2026 – Geometry & Mensuration

Main Topic	Subtopic	Key Concepts / Question Types
Geometry & Mensuration (20–25% weightage)	Lines, Angles & Triangles	Parallel lines: corresponding, alternate, co-interior angles; triangle inequalities; congruence (SSS, SAS, ASA, AAS, RHS); similarity (AA, SSS, SAS); Pythagoras theorem & triplets; special triangles (30-60-90, 45-45-90); area formulas (base-height, Heron, ½ab sin C); medians, altitudes, angle bisectors; centroid, orthocentre, incentre, circumcentre; Apollonius & Stewart’s theorem
Circles	Chord properties; inscribed angle theorem; tangent-radius perpendicularity; power of a point theorem; cyclic quadrilateral properties; internal/external tangents; alternate segment theorem
Quadrilaterals & Polygons	Properties of parallelogram, rhombus, rectangle, square, trapezium, kite; diagonal properties; area formulas; sum of interior/exterior angles; number of diagonals & triangles in polygons
Coordinate Geometry	Distance, midpoint, section formulas; slope, collinearity; line equations (slope-intercept, point-slope, two-point, intercept form); distance from point to line; angle between lines; parallelism/perpendicularity; locus problems; basic circle equations
Mensuration — 2D Shapes	Area & perimeter of triangle, rectangle, square, parallelogram, rhombus, trapezium, regular hexagon; area & circumference of circle, semicircle, sector, segment; combined & shaded regions
Mensuration — 3D Solids	Cube & cuboid (volume, LSA, TSA, space diagonal); cylinder (volume, LSA, TSA); cone (slant height, volume, LSA, TSA); sphere & hemisphere (volume, surface area); frustum of a cone; water filling, melting, recasting solids

CAT Quantitative Aptitude Syllabus 2026 – Modern Mathematics

Main Topic	Subtopic	Key Concepts / Question Types
Modern Mathematics (2–3 questions)	Permutation & Combination	Fundamental Counting Principle (FCP); factorial notation; permutations (nPr, with repetition, restricted); combinations (nCr, Pascal’s triangle); circular permutations; distribution of objects into groups; selecting/arranging from multiple groups; counting words with/without repetition; rank of a word in dictionary arrangement
	Probability	Classical probability; complement, addition, multiplication rules; conditional probability (P(A
	Set Theory & Venn Diagrams	Union, intersection, complement, difference; De Morgan’s laws; 2-set & 3-set Venn problems; max/min element problems in overlapping sets; survey and real-life application problems

12 High Weightage CAT Quant Topics to Practice Now

CAT QA Topic-Wise Weightage & Difficulty Analysis (2017–2024)

The table below provides a data-driven view of each topic area in the CAT Quantitative Aptitude Syllabus, based on CAT papers over the past seven years. Use this to prioritise your preparation intelligently.

Topic Area	Avg. Questions	Weightage	Difficulty	Scoring Potential
Arithmetic	6–8	30–35%	Easy–Moderate	Very High
Algebra	4–6	20–25%	Moderate–Hard	High
Geometry & Mensuration	4–5	20–25%	Moderate–Hard	Moderate–High
Number Systems	3–4	15–20%	Moderate	High
Modern Mathematics	2–3	10–15%	Moderate	High

Important Note: IIM CAT does not publish an official CAT quant syllabus. The weightage figures above are derived from analysis of official CAT question papers from 2017 to 2024 and are indicative, not guaranteed. Treat all five areas as equally important during preparation.

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High-Priority CAT QA Topics You Must Not Skip

Across CAT previous year papers from 2017 to 2024, certain topics from the CAT Quantitative Aptitude Syllabus have appeared with remarkable consistency. Mastering these high-frequency topics should form the core of your CAT QA preparation:

Priority	Topic	Reason for Priority
1	Percentages & Applications	Foundational for Arithmetic + DILR overlap
2	Time, Speed & Distance	Complex scenarios; repeated every year
3	Quadratic Equations & Functions	Algebraic mainstay; high difficulty ceiling
4	Triangles & Circle Theorems	Geometry cornerstone; ~2–3 questions guaranteed
5	Remainder Theorem & Number Theory	High TITA frequency; scoring for prepared aspirants
6	Permutation & Combination	Increasing trend; scoring with focused preparation
7	Arithmetic & Geometric Progressions	Appears consistently; moderate difficulty
8	Inequalities & Modulus	High-difficulty differentiator in 99 percentile range
9	Coordinate Geometry	Moderate frequency; often combined with Geometry
10	Mixtures & Alligations	Classic CAT topic; quick to master

CAT QA Preparation Strategy 2026: A Phase-Wise Roadmap

A structured, phased approach is the most efficient way to prepare for the CAT Quantitative Aptitude Syllabus. The strategy below is designed for a 6-month preparation window, which is the recommended timeline for most aspirants. Adjust the pace based on your current mathematical proficiency.

Phase 1: Foundation Building (Months 1–2)

The goal of this phase is to eliminate all conceptual gaps and build a strong mathematical foundation. Rushing through this phase to get to harder problems is a common mistake that leads to plateauing later in preparation.

1. Start with NCERT Mathematics Textbooks (Classes 8, 9, and 10) — these cover all foundational concepts tested in CAT QA.
2. Follow a strict topic-by-topic approach: do not jump between topics. Complete one topic fully before moving to the next.
3. Prioritize Arithmetic in the first three weeks, as it has the highest weightage and applications across sections.
4. Maintain a dedicated Formula & Concept Notebook — write every formula, theorem, property, and important result. Revise this notebook daily.
5. Solve 25–30 basic-level questions per topic before considering the topic ready for advancement.
6. Use free YouTube resources (Anuj Jindal, Rodha, 2IIM) for conceptual explanations when stuck.
7. Do not attempt mock tests yet. Foundation phase is about quality of understanding, not speed.

Phase 2: Concept Consolidation & Speed Building (Months 3–4)

Once your foundation is solid, shift focus to CAT-level problems and building the speed required for the exam. This phase bridges the gap between understanding concepts and applying them under exam conditions.

1. Solve 40–50 CAT-level questions daily, mixing topics to simulate the randomness of the actual exam.
2. Practice Vedic Mathematics and mental math techniques — squaring numbers, multiplication by 11/99, fraction-to-decimal conversions.
3. Benchmark yourself: aim to solve standard CAT QA questions within 2 minutes each.
4. Categorise every error into: (a) Conceptual mistake, (b) Calculation error, or (c) Misread question. Address each category differently.
5. Begin solving previous year CAT papers from 2017 onwards. Focus on understanding why each answer is correct, not just what it is.
6. Attempt topic-wise timed tests (30 questions in 60 minutes) to build sectional stamina.
7. Identify your three weakest sub-topics and dedicate extra 30-minute sessions to them weekly.

Phase 3: Advanced Problem Solving (Month 5)

This phase is dedicated to pushing your ceiling — solving high-difficulty problems that differentiate 90th percentile from 99th percentile scores. Many aspirants skip this phase, which explains why many get stuck at the 85–90th percentile range.

1. Solve high-difficulty problems from sources like Arun Sharma Level 3, AIMCAT papers, and IMS SimCATs.
2. Focus on Algebra (especially Functions and Inequalities) and Geometry — the two areas with the steepest difficulty curves.
3. Practice approximation techniques to quickly eliminate wrong answer choices in MCQs.
4. Revisit and consolidate your formula notebook, adding new insights and shortcuts discovered during practice.
5. Attempt 2–3 sectional QA mocks per week under timed conditions (40 minutes, 22 questions).

Phase 4: Mock Tests, Analysis & Revision (Month 6 Onwards)

The final phase transforms your preparation into exam-readiness. Mock tests are not just practice — they are diagnostic tools that reveal your preparation gaps and help you build an optimal exam-day strategy.

1. Attempt at least 2 full-length CAT mock tests per week under real exam conditions (no breaks, no phone).
2. Spend equal time on post-mock analysis as you do on the mock itself — this is where most of the learning happens.
3. Track your QA sectional score, accuracy percentage, and attempts per mock in a spreadsheet to monitor trends.
4. Revise your formula notebook every 3–4 days. Reduce it to a rapid-revision sheet of one page in the final month.
5. Practice question selection: in the final 2 weeks, work on your ability to quickly identify easy, medium, and hard questions within the first 5 minutes of the QA section.
6. Simulate exam anxiety by timing yourself strictly and not allowing yourself to skip or revisit during the 40-minute window.

Recommended Weekly Study Plan for CAT QA Syllabus 2026

Consistency beats intensity. A well-structured weekly plan ensures all topic areas in the CAT Quantitative Aptitude Syllabus receive adequate attention throughout your preparation. Here is a recommended schedule that can be adapted based on your specific strengths and weaknesses:

Day	Morning Session (1.5 hrs)	Evening Session (1.5 hrs)	Night Review (30 min)
Monday	Arithmetic: Concept + 25 questions	Number Systems: Concept + 20 questions	Formula notebook revision
Tuesday	Algebra: Concept + 25 questions	Geometry: Concept + 20 questions	Error log review
Wednesday	Arithmetic: Advanced problems (30 Q)	Modern Math: P&C + Probability	Shortcut techniques practice
Thursday	Algebra: Functions & Inequalities (25 Q)	Coordinate Geometry (20 Q)	Formula notebook update
Friday	Mixed Practice: All topics (40 Q timed)	Weak topic deep-dive (30 Q)	Review today's errors
Saturday	Sectional Mock: 22 Q in 40 mins	Detailed mock analysis	Revise all flagged concepts
Sunday	Full CAT mock (in Phase 4)	Rest or light revision	Weekly formula review

Smart Scoring Strategies for CAT QA Syllabus on Exam Day

Preparation and exam-day execution are two different skills. Many well-prepared aspirants underperform in the actual exam due to poor strategy. Here are battle-tested strategies for maximizing your QA score on exam day:

• Scan before you solve: Spend the first 4–5 minutes scanning all 22 questions. Categorize them mentally as easy, medium, or hard. Attempt easy questions first to build momentum and secure marks quickly.
• Accuracy over attempts: Attempting 16 questions with 90% accuracy (~43 marks) is far better than attempting 22 questions with 70% accuracy (~31–37 marks after negative marking). Never sacrifice accuracy for volume.
• TITA first in doubtful cases: If you are moderately confident about a TITA answer, attempt it — there is no downside. For MCQs, if you cannot eliminate at least two options, skip rather than guess.
• Time management checkpoints: At the 20-minute mark, you should ideally have 10–11 questions attempted with high confidence. If behind, increase pace on your strong-topic questions.
• Avoid calculation rabbit holes: If a question seems to require very long calculations, you are likely missing a smarter approach. Step back, re-read the question, and look for a conceptual shortcut.
• Use answer choices strategically: For MCQ questions, back-substituting answer choices is often faster than solving from scratch — especially for quadratic equations, number theory, and inequality problems.
• Manage mental fatigue: QA is the last section in CAT. If you find yourself mentally drained, tackle your strongest topic area first to rebuild confidence and momentum.

Best Study Resources for CAT Quantitative Aptitude Syllabus 2026

Choosing the right resources is critical for efficient preparation. Below is a curated list of CAT preparation books, online platforms, and free resources, organized by category.

Recommended Books

Book Title	Author	Best For	Level
Quantitative Aptitude for CAT	Arun Sharma	Complete CAT QA preparation	Beginner to Advanced
Quantitative Aptitude for Competitive Examinations	R.S. Aggarwal	Arithmetic basics & speed building	Beginner
Magical Book on Quicker Maths	M. Tyra	Shortcuts and tricks	Beginner to Intermediate
How to Prepare for QA for the CAT	Arun Sharma (Latest Ed.)	Level-wise progressive practice	Intermediate to Advanced
NCERT Mathematics (Class 8–10)	NCERT	Foundational concept clearing	Beginner
Algebra for CAT	Sarvesh Kumar Verma	Deep algebraic concept building	Intermediate to Advanced

CAT QA Score vs. Percentile: What You Need to Target

Understanding the score-percentile relationship helps you set realistic targets and gauge your performance relative to the test-taking population. The table below is based on historical CAT QA score distributions:

Target Percentile	Approx. Score Required	Correct Answers Needed	Acceptable Errors (MCQ)
99th Percentile+	55–66	18–22 correct	0–2
95th–99th Percentile	45–54	15–18 correct	2–4
90th–95th Percentile	36–44	12–15 correct	3–5
80th–90th Percentile	27–35	9–12 correct	4–6
70th–80th Percentile	18–26	6–9 correct	5–7

Target for IIM ABC calls: Most IIMs (Ahmedabad, Bangalore, Calcutta) expect a QA sectional percentile of 80–90+ in addition to an overall 99th+ percentile. A balanced sectional performance across all three sections is often more important than being exceptional in just one.

Common Mistakes CAT Aspirants Make in CAT QA Preparation 2026

• Skipping Geometry and Modern Math: Many aspirants avoid these areas, leaving 6–8 easy marks on the table. With focused 4-week preparation, these can become reliable scoring areas.
• Formula memorisation without conceptual understanding: CAT is designed to test concepts, not rote formulas. If you cannot derive a formula, you will struggle with its nuanced applications.
• Ignoring NCERT basics: Jumping to CAT-level practice without clearing school-level foundations leads to conceptual gaps that surface only in the actual exam.
• Not maintaining an error log: Aspirants who do not track their mistakes repeat them. An error log is one of the highest-ROI activities in CAT preparation.
• Overloading on resources: Using 5–6 books simultaneously leads to scattered preparation. Pick 2–3 high-quality resources and exhaust them completely.
• Mock tests without analysis: A CAT mock test without a 60-90 minute analysis session is a wasted opportunity. The analysis, not the attempt, drives score improvement.
• Ignoring time management in practice: Always practice with a timer. Real-exam time pressure feels very different from untimed practice sessions.
• Negative marking casualness in MCQs: A -1 penalty in CAT requires 3 correct answers to recover. One careless guess every 5 questions can cost you 5+ percentile points.

Conclusion: Building Your CAT QA 2026 Game Plan

The CAT Quantitative Aptitude section rewards those who prepare smartly, practice consistently, and execute strategically on exam day. With a clear understanding of the CAT Quantitative Aptitude Syllabus, a well-structured preparation roadmap, and the right resources, achieving a 90th+ percentile in QA is an attainable goal for any aspirant — regardless of their academic background.

Here are the key takeaways from this comprehensive guide:

1. The CAT QA syllabus 2026 covers five major areas: Arithmetic (highest weightage), Algebra, Geometry & Mensuration, Number Systems, and Modern Mathematics.
2. Arithmetic should be your first and deepest area of focus — it has the highest number of questions and the most cross-section applications.
3. TITA questions carry no negative marking. Always attempt them on exam day, even with partial confidence.
4. Follow a strict four-phase preparation plan: Foundation → Speed Building → Advanced Problems → Mock-Based Revision.
5. Maintain an error log and a formula notebook throughout your preparation — these two tools significantly accelerate improvement.
6. Aim for a QA score of 45+ to target a 90th+ percentile. IIM ABC aspirants should target 55+.
7. Mock test analysis — not just the attempt — is the single highest-impact activity in the final 2 months of preparation.
8. On exam day, prioritise accuracy and strategic question selection over attempting every question.

Your CAT 2026 journey begins with this syllabus. Invest the next 6 months in mastering every topic outlined above, take mock tests seriously, and you will walk into the exam hall with the confidence of thorough preparation. Best of luck!