I categorised every CAT Quant question from 2021–2025. Here's what the data says.
330 Quant questions tagged by topic and subtopic. Arithmetic is 35% of QA, Functions & Logs beats Equations in Algebra, and Modern Math is just 7% — not the 12–15% most coaching plans suggest.
The data
All 330 Quant questions from CAT 2021–2025 (15 slots, 3 per year), tagged by topic and subtopic. Here's the actual breakdown.
Topic breakdown
| Topic | Questions | % of QA |
|---|---|---|
| Arithmetic | 115 | 35% |
| Algebra | 101 | 31% |
| Geometry | 50 | 15% |
| Number System | 41 | 12% |
| Modern Math | 23 | 7% |
Questions by topic (330 total)
Arithmetic — 115 questions (35%)
| Subtopic | Questions |
|---|---|
| Profit & Loss | 16 |
| Time, Speed & Distance | 20 |
| Time & Work | 14 |
| Mixtures & Alligation | 14 |
| Averages | 13 |
| Percentages | 13 |
| Simple / Compound Interest | 11 |
| Ratios & Proportions | 8 |
Arithmetic subtopic breakdown
What most plans get wrong: Time & Work has 14 questions — the same count as Mixtures — but most study plans allocate a fraction of the time to it. Averages (13 questions) is equally large. Ratios & Proportions, which gets a lot of coaching attention, is only 8 questions.
Algebra — 101 questions (31%)
| Subtopic | Questions |
|---|---|
| Functions, Logs & Surds | 34 |
| Equations (Linear + Quadratic) | 33 |
| AP / GP / HP | 18 |
| Inequalities | 15 |
The surprising finding: Functions & Logs (34 questions) is larger than Equations (33). Most material leads with Equations and treats Functions/Logs as secondary. Log properties, functional equations, and surds are undertrained relative to how frequently they appear.
Geometry — 50 questions (15%)
| Subtopic | Questions |
|---|---|
| Triangles | 16 |
| Circles & Polygons | 16 |
| Mensuration | 10 |
| Coordinate Geometry | 8 |
Triangles and Circles are equally weighted. Coordinate Geometry appears consistently — don't skip it.
Number System — 41 questions (12%)
| Subtopic | Questions |
|---|---|
| Factors, LCM & HCF | 16 |
| Remainders & Divisibility | 14 |
| Number Properties | 11 |
Note: many coaching notes show Number System at 8% — that figure comes from only counting questions tagged "Number System" and missing the "Number Theory" label used for some slots. The correct consolidated count is 41 (12%).
Modern Math — 23 questions (7%)
| Subtopic | Questions |
|---|---|
| Permutation & Combination | 11 |
| Set Theory & Statistics | 5 |
| Probability | 4 |
| Other (Binomial etc.) | 3 |
Most overstated section in coaching notes. Probability is only 4 questions in five years. PnC (11 questions) is the real priority within Modern Math.
Three things that surprised me
1. Arithmetic is genuinely 35% — not 20–25% as most plans suggest.
The more important finding is what's big within Arithmetic. TSD and Profit & Loss together account for 36 questions. But Time & Work (14) and Averages (13) are nearly as large and consistently underweighted in prep plans.
2. Functions & Logs is the largest Algebra subtopic.
34 questions vs 33 for Equations — essentially equal, but coaching notes typically lead with Equations. Log properties, functional equations, and surds deserve dedicated, not incidental, preparation.
3. Modern Math is 7%, not 12–15%.
And within those 23 questions, Probability is 4. Don't over-invest in probability theory. PnC is where the Modern Math marks actually are.
Suggested time allocation (100 hours for QA)
| Topic | Hours | Priority within |
|---|---|---|
| Arithmetic | 35 | TSD, P&L, Time & Work, Mixtures |
| Algebra | 28 | Functions/Logs and Equations equally |
| Geometry | 16 | Triangles + Circles first |
| Number System | 13 | Factors/LCM and Remainders |
| Modern Math | 8 | PnC only; light on Probability |
Put this into practice
Solve CAT Quant PYQs — filtered by topic, with full solutions.