How to Prepare for CAT Quant (QA)

What CAT Quant tests

Quantitative Ability (QA) is the third and last section of CAT: 40 minutes, 22 questions in every slot since 2021 (26 in 2020), and no option to switch in or out. The mathematics itself is school-level, mostly up to Class 10 with a few Class 11–12 ideas such as logarithms, progressions and basic permutations. What makes CAT Quant hard is not advanced content but the way familiar ideas are combined, disguised in word problems, and placed under time pressure at the end of a two-hour paper.

The section rewards three things: clear concepts (knowing why a formula works, so you can adapt it), quick translation of words into equations, and judgement about which questions to leave.

The chapters, grouped

Each chapter below links to its page of past CAT questions with step-by-step solutions.

There are also Arithmetic Revision and Geometry Revision pages with mixed questions for consolidation, and a Data Sufficiency page, a format seen in older CAT papers and some other exams. The CAT syllabus guide covers all three sections.

How Quant questions look today

• Arithmetic and algebra dominate. In recent papers these two areas together usually account for well over half the questions. Geometry typically contributes a handful, number system a few, and modern maths one or two.
• A mix of MCQ and TITA. A sizeable share of the questions, typically around a quarter to a third, are TITA (type in the answer): no options, but no negative marking. MCQs carry +3 / −1. Details are in the CAT exam pattern guide.
• Word problems over pure computation. Many arithmetic questions are long scenarios (investments, mixtures, races, work schedules) where setting up the equation is most of the work.
• Wide spread of difficulty. Each slot has some quick questions solvable in about a minute, a middle band, and a few that are time traps. Your score depends heavily on finding the first two groups.
• Calculator available, but not decisive. An on-screen calculator is provided. It helps with ugly arithmetic in TITA answers, but clicking through it is slower than mental maths for most steps.

Look at CAT 2025 QA Slot 1 to see the current style and mix before you plan your preparation.

A preparation plan

Quant is the section where steady coverage pays off most visibly, because each chapter you master adds questions you can reliably attempt. The plan below assumes around six months and about 90 minutes a day for Quant. If you are from a non-maths background, give Phase 1 more time; the basics matter more than speed early on.

Phase 1 (weeks 1–3): foundations

• Get fluent with mental arithmetic: squares up to 30, cubes up to 15, fractions to percentages (1/8 = 12.5%, 1/7 ≈ 14.28%, and so on), and quick multiplication.
• Revise Class 8–10 basics: factorisation, linear equations, ratios, basic geometry theorems. NCERT books are perfectly adequate for this.

Phase 2 (months 1–3): arithmetic and algebra first

• Start with arithmetic because it carries the most weight and builds the equation-forming skill used everywhere else. A sensible order: Percentage, Profit & Loss, Ratio, Average, Mixtures, Interest, Time & Work, Time, Speed & Distance.
• Then algebra: Linear and Quadratic Equations, Inequalities & Modulus, Progressions, Functions, Logarithms, Surds & Indices.
• For each chapter: learn the concepts, solve 20–30 practice questions untimed, then all past CAT questions on that chapter page. Write down any new technique on a one-page formula and method sheet for the chapter.
• Start one 40-minute Quant sectional a week once arithmetic is done. Do not wait to finish the whole syllabus before testing.

Phase 3 (months 3–4): geometry, number system, modern maths

• Geometry: triangles and circles first (most frequent), then polygons, mensuration and coordinate geometry. Draw every figure, and learn the standard results (similar triangles, angle in a semicircle, tangent properties, Pythagorean triples).
• Number System: divisibility, HCF/LCM, remainders, factors, unit digits.
• Modern Maths: basic counting, arrangements with restrictions, simple probability, and sets with overlapping groups.
• Keep revising arithmetic each week with mixed sets so it does not fade.

Phase 4 (months 5–6): mixed practice, papers, mocks

• Two or three timed Quant sectionals a week plus full-length mocks.
• Revise area by area (all of arithmetic, then all of algebra) rather than chapter by chapter, because the exam gives you a mixed bag.
• Take the most recent CAT QA papers as timed tests.

A sample week in Phase 2

Techniques that save time

Think in ratios and percentages

Much of CAT arithmetic becomes simpler when you think in fractions rather than equations. Example: a price rises by 25% and then falls by 20%. A 25% rise is ×5/4 and a 20% fall is ×4/5, so the price is back to where it started, with no algebra needed. Similarly, if A is 25% more efficient than B, their times are in the ratio 4 : 5.

Use the options

For MCQs, substituting options into the question is often faster than solving. If a question asks for a number satisfying several conditions, test the options from the middle value outward. For "which must be true" questions, try extreme or simple values (0, 1, a very large number) to eliminate options.

Assume convenient values

When a question gives only percentages or ratios, take a convenient total: 100 for percentages, the LCM of the given times for work questions. Example: A finishes a job in 12 days and B in 18. Take the job as 36 units; A does 3 per day, B does 2, together 5, so together they need 36/5 = 7.2 days.

Sketch functions and figures

Questions on modulus, inequalities and functions often become obvious with a quick graph. In geometry, a rough figure drawn to scale can rule out options immediately.

Practising with past papers and topic pages

Past CAT questions show you what the examiners consider fair and how they disguise standard ideas. The site has CAT Quant papers from 1991 to 2025, each with step-by-step solutions on the CAT previous-year papers page.

• During learning (Phases 2–3): after finishing a chapter, solve every past CAT question on its chapter page from topic-wise preparation. Older questions (1990s–2000s) are often shorter and very good for concept checks; 2017 onwards reflects the current style.
• Nearer the exam (Phase 4): keep the last two or three years aside and take them as full 40-minute sectionals, for example CAT 2024 QA Slot 3. A real CAT paper is a better benchmark than most mocks.
• Custom drills: use the test builder to make a timed set from just your weak chapters.
• Keep the habit: the question of the day is a quick daily touchpoint on busy days.

How to analyse a Quant test

1. Sort every question into four buckets: correct and quick, correct but slow, wrong, and not attempted.
2. For "correct but slow", read the solution and look for the shorter route. This is where most time is saved.
3. For "wrong", find whether it was a concept gap, a calculation slip or a misread question. Slips and misreads need checking habits, not more theory.
4. For "not attempted", ask honestly whether you could have solved it in two minutes. If yes, your selection needs work.
5. Save anything you would like to retry in your mistake notebook (sign in first) and redo it after a week.

Test-day strategy for the 40 minutes

With 22 questions in 40 minutes you have under two minutes each, and you will not solve them all. Many test-takers aim to attempt 12–16 with high accuracy; choose your own target from your mock data.

• Two rounds work well. In the first pass (about 20–25 minutes), go through all questions in order and solve only those you can see a clear route for. Skip, do not linger. In the second pass, return to the ones that looked possible but longer.
• Set a per-question limit. If you have spent about two and a half minutes without a clear path, move on. One stubborn question can cost you two easy ones.
• Prioritise by your strengths, not by order. Arithmetic word problems may be quick for you while geometry is slow, or the reverse. Your mocks tell you which.
• Attempt TITA questions you have worked on. A wrong TITA costs nothing, so if you have a reasonable answer, enter it.
• Guess MCQs only after elimination. If you can rule out two options, a guess is worth it on average. A blind guess among four is not.
• Double-check what is asked. "How many more", "percentage of the original", "minimum possible": many wrong answers are correct calculations of the wrong quantity.

Quant comes at the end of the paper, when you are tired and possibly rattled by DILR. Practise full mocks so the last 40 minutes feel normal, not exhausting. The DILR guide covers the section before it.

Common mistakes

• Finishing the syllabus before taking tests. Start sectionals once arithmetic is done; test-taking is a separate skill that needs months of practice.
• Collecting shortcuts without concepts. Tricks break when a question is slightly changed. Understand the idea first, then the shortcut.
• Skipping geometry entirely. It is a reliable source of a few questions each year, and many geometry questions are quick once you know the standard results.
• Too much theory, too few questions. After learning a chapter, the work is solving many varied questions on it, especially past CAT ones.
• Not revising. Without weekly mixed revision, early chapters fade by the time you finish later ones.
• Chasing attempts. Twenty attempts with eight wrong answers usually scores worse than fourteen attempts with two wrong.

For a full timetable that balances Quant with VARC and DILR, read the CAT preparation strategy guide; the CAT VARC preparation guide covers the section that opens the paper.