CAT 2026 QA topics

 

CAT 2026 QA Topics: A 6-Year Question Pattern Analysis

We tagged and analysed all 330 Quant questions across 15 official CAT papers from 2021 to 2025 — every topic, sub-topic, and recurring scenario-type. Here’s what that dataset actually shows about CAT 2026 QA topics, and just as importantly, what it doesn’t.

Quick answer: Across five years and 330 questions, one ranking has held without exception: Arithmetic (41.8%) > Algebra (23.6%) > Number System (17.3%) > Geometry (13.6%) > Modern Math (3.6%). Within these, roughly fourteen specific sub-topics — Averages, Profit & Loss, Quadratics, Exponents/Logarithms, Triangles, and others — have appeared in every single one of the five years. That consistency is the strongest signal available for prioritizing CAT 2026 QA topics, but it is historical evidence, not a prediction — nothing in this dataset extends to the 2026 paper as a guarantee.

How This Analysis Was Built

Before drawing any conclusions about CAT 2026 QA topics, the underlying data was checked for integrity. All 15 official Quant papers from 2021–2025 were retrieved successfully, with every paper confirmed to contain exactly 22 QA questions — 330 questions in total, matching the tagged dataset exactly. Each question was classified by topic and scenario type directly from its wording, without solving it for an answer, to keep the classification purely structural.

  • Difficulty statistics (Correct% / Incorrect%) are only publicly available for 2021, 2024, and 2025 — any difficulty-related claim is restricted to those 9 of 15 slots, not the full dataset.
  • Two question pairs across different official slots were found to be word-for-word identical — flagged as anchor-item reuse, not a taught content pattern.
  • No claim in this analysis extends to the 2026 paper or any future administration. Every statement here is traceable strictly to this 2021–2025, 330-question dataset.

The Big Picture: Where the Questions Actually Come From

The topic-wise split across all five years is remarkably stable.

Table 1 — Broad topic distribution, 2021–2025 (330 questions, 15 papers)

Topic 2021 2022 2023 2024 2025 Total Share
Arithmetic 32 26 24 27 29 138 41.8%
Algebra 12 15 19 19 13 78 23.6%
Number System 10 12 13 9 13 57 17.3%
Geometry 9 10 9 8 9 45 13.6%
Modern Math 3 3 1 3 2 12 3.6%
The ranking Arithmetic > Algebra > Number System > Geometry > Modern Math holds in every one of the five years without a single exception. Arithmetic never drops below roughly 36% of a year’s paper; Modern Math never exceeds 3 of 22 questions in any single slot.

Arithmetic: The Paper’s Heaviest Engine

Of every broad category among CAT 2026 QA topics, Arithmetic deserves the most attention by sheer weight. At 138 of 330 questions, it isn’t just the largest topic — it’s tested differently from the others. A full 61% of Arithmetic questions are multi-concept, chained scenarios, the strongest single signal in the entire dataset. CAT almost never asks a standalone “find the profit%” or “find the average” question; it layers a condition on top nearly every time.

Table 2 — Arithmetic sub-topics (138 questions, 5 years)

Sub-topic Count Years Present Dominant Pattern
Averages 23 5/5 Weighted-average shift; constrained-integer puzzles
Profit & Loss 22 5/5 Successive discount/markup chains; SP–CP reverse-engineering
Time & Work / Pipes 20 5/5 Pairwise combined rates, then solve individual rate
Speed-Time-Distance 18 5/5 Meet-then-continue; relative speed; multi-leg journeys
Percentages 15 5/5 Rarely isolated — usually embedded in P&L or set-overlap
Mixtures / Alligation 14 5/5 Successive replacement dominates
Ratios 10 4/5 Ratio shift after a transfer or proportional addition
SI / CI 9 4/5 Reinvestment equivalence across interest modes
Every sub-topic above except Ratios and SI/CI appeared in all five years without exception.

Algebra: Condition-Layered, Not “Solve for x”

Algebra is the most evenly spread topic in the dataset — no single question-framing dominates the way multi-concept scenarios dominate Arithmetic. Logic and condition-based reasoning leads at 32%, but optimization, formula-based, and property-driven questions all contribute meaningfully.

Table 3 — Algebra sub-topics (78 questions, 5 years)

Sub-topic Count Years Present Dominant Pattern
Quadratics 15 5/5 Integer-root / common-root conditions, rarely a bare solve
Progressions 15 5/5 AP/GP with a derived condition, not plain nth-term recall
Functions 14 5/5 Composite functions; functional equations
Inequalities 12 5/5 Absolute-value equations and inequalities dominate
Algebraic Optimization 6 3/5 AM-GM style minimize/maximize; clustered 2022–23
Surds 6 4/5 Nested-radical simplification; symmetric power sums
Quadratics and Progressions are almost always tested through an added condition — an integer-root requirement, a shared root, or a derived term relation — rather than a plain textbook solve.

Geometry and Number System

Geometry (45 questions, 13.6%) is the dataset’s most “textbook” section — 76% of its questions are property or formula-driven, the least likely topic to blend with another chapter. It’s also the least volatile topic year to year, holding steady in an 8–10 question band across all five years.

Table 4 — Geometry sub-topics (45 questions, 5 years)

Sub-topic Count Years Present Dominant Pattern
Triangles 13 5/5 Cevian ratios via mass-point / Menelaus-style reasoning
Circles 9 5/5 Tangent-angle relations; mutually tangent circles
Polygons 7 5/5 Regular-polygon angle and diagonal-count relations
Mensuration 6 4/5 2D/3D — the formula is the last step, not the first
Coordinate Geometry 5 4/5 Missing-vertex, locus, incircle-from-coordinates
Other Quadrilaterals 5 4/5 Trapezium / cyclic-quad side-and-diagonal ratios

Number System (57 questions, 17.3%) runs the opposite way — 53% logic or condition-based, rarely a plug-in formula question. Exponents and Logarithms alone account for 24 of 57 questions (42%) and are the single most reliable Number System presence in the dataset, never the smallest sub-topic and never absent in any year.

Table 5 — Number System sub-topics (57 questions, 5 years)

Sub-topic Count Years Present Dominant Pattern
Exponents / Logarithms 24 5/5 Base-conversion, chained log equations — nearly every slot
Number Theory (misc.) 13 3/5 Factors, divisibility, Diophantine — clustered 2022–23
Digits 7 4/5 Digit-sum / palindrome / rearrangement, usually TITA
Inequalities 5 3/5 Integer-count on a compound or absolute inequality
Remainders 4 2/5 Modular exponentiation via last-digit cyclicity
Number Theory’s 2022–23 cluster (9 of 13 instances) reads as a two-year concentration rather than a steady yearly presence.

Modern Math: Small but Sharply Focused

Among CAT 2026 QA topics, Modern Math is the one most aspirants underweight — and with reason, since at just 12 of 330 questions (3.6%), it’s the smallest topic. But it has the most concentrated framing profile in the entire dataset: 67% pure logic or constraint reasoning, and 0% property-based or multi-concept questions.

  • Combinatorics (P&C): 10 questions, present in 5/5 years — never a bare nCr/nPr calculation; always wrapped in a distribution-with-constraint or path-counting scenario.
  • Set Theory: just 2 questions, appearing only in 2022 and 2025 — insufficient evidence to call this a yearly fixture; treat it as intermittent rather than guaranteed.

Key Takeaway

Permutations & Combinations never appears as a bare counting formula anywhere in this five-year dataset — it’s always wrapped in a distribution, restriction, or path-counting scenario. If your P&C practice is mostly formula drilling, it’s missing the actual pattern.

Ten Recurring Scenario-Archetypes in CAT 2026 QA Topics

Grouping questions by underlying scenario rather than textbook chapter surfaces ten templates that CAT keeps reusing — the same puzzle logic, dressed in different numbers and framing.

  • Successive Replacement / Dilution Mixture — ~9 instances, 5/5 years
  • Functional Equations as Arithmetic Wrapper — 6 instances, 5/5 years
  • Absolute-Value Condition Puzzles — 9 instances, 5/5 years
  • Successive % Change Chains — 6 instances, 4/5 years
  • CI/SI Reinvestment Equivalence — 7 instances (including one verified word-for-word repeat), 5/5 years
  • Cevian / Mass-Point Triangle Ratios — 5 instances, 5/5 years
  • Pairwise Combined Time & Work — ~7 instances, 5/5 years
  • Set-Overlap / % Participation Min-Max — 4 instances, 4/5 years
  • Digit-Constraint Number Construction — 7 instances, 4/5 years
  • Range of a Rational Function — 2 instances, 2/5 years

The takeaway from this list isn’t the exact counts — it’s that CAT reuses puzzle logic far more than it invents new mathematics. Recognising the archetype often matters more than recalling the formula.

What’s Guaranteed vs. What’s Just a Trend

Not every pattern in this dataset carries equal weight. Some sub-topics recur every single year; others cluster in specific years and shouldn’t be treated as fixtures.

Table 6 — Recurring vs. intermittent presence, 2021–2025

Recurs Every Year (5/5) Intermittent — Flagged, Not a Fixture
Arithmetic: Averages, P&L, Time & Work/Pipes, Speed-Time-Distance, Percentages, Mixtures Set Theory: only 2022 and 2025 (2 of 5 years)
Algebra: Quadratics, Progressions, Functions, Inequalities Algebraic Optimization: clustered 2022–2023, one echo in 2025
Geometry: Triangles, Circles, Polygons Remainders: clustered in 2022 and 2024 only
Number System: Exponents / Logarithms Digit-constraint questions: absent from the 2024 sample specifically
Modern Math: Combinatorics Ratios: rising from 1–2/year (2021–23) to 5 in 2025 — suggestive, not confirmed on n=10
The broad-topic ranking and these 14 recurring sub-topics are the closest thing to a “guaranteed” Quant presence anywhere in this dataset — everything in the right-hand column is a real observation, but not one to bet an entire prep strategy on.

How CAT Actually Tests Each Topic

Beyond which topics appear, how they’re tested varies sharply by section — formula recall turns out to be the exception, not the rule.

Table 7 — Question-framing profile by topic

Topic Multi-Concept Logic/Condition Property Direct/Formula Optimization
Arithmetic 61% 4% 1% 18% 14%
Algebra 15% 32% 15% 19% 18%
Geometry 11% 7% 40% 36% 2%
Number System 2% 53% 4% 29% 12%
Modern Math 0% 67% 0% 17% 17%
Geometry is the most property/formula-driven topic (76% combined). Arithmetic is the most application-heavy (61% multi-concept). Algebra and Number System both lean on logic/condition reasoning more than direct formula recall.

What This Means for CAT 2026 QA Topics Prep

Don’t prepare chapters — prepare engines. Within every recurring sub-topic, CAT overwhelmingly favours a small set of scenario-templates, reused with new numbers and framing rather than new mathematics. That has direct implications for how to prioritize CAT 2026 QA topics:

  • Weight your practice time toward Arithmetic’s chained, multi-concept scenarios rather than isolated single-formula drills.
  • Treat Algebra’s Quadratics and Progressions as condition-layered problems by default, not plain textbook solves.
  • Build genuine theorem fluency in Geometry — it’s the one section where knowing the right property most directly unlocks the answer.
  • Don’t skip Exponents/Logarithms in Number System — it’s the single most reliably present sub-topic outside Arithmetic.
  • Practice P&C as scenario-wrapped counting, not bare formula application, and treat Set Theory as a bonus rather than a certainty.

For a section-wise attempt strategy that builds on this topic prioritization, our CAT question selection strategy guide covers how to translate this into real exam-day choices, and our breakdown of the attempts-and-accuracy math for 99 percentile in CAT 2026 covers what to do once you’re deciding which questions to attempt.

Read This Before You Over-Index on Any Single Number

Every figure in this article comes from 2021–2025 official papers — a real, carefully checked dataset, but still a historical one. CAT’s syllabus and format are set independently each year by the conducting IIM, confirmed on the official CAT website. Use this analysis to prioritize your preparation time, not to assume any specific sub-topic will or won’t appear in CAT 2026.

Turn This Analysis Into Practiced Skill


Knowing which CAT 2026 QA topics recur most is only half the job — building speed and accuracy on them is the other half. Quantifiers CAT Academy’s Sangharsh 2.0 CAT Crash Course includes 1000+ sectional tests and full-length mocks built around exactly these patterns.

Explore the Crash Course

Frequently Asked Questions

What are the most important CAT 2026 QA topics to prepare?

Based on five years of official papers, Arithmetic (especially Averages, Profit & Loss, Time & Work, and Speed-Time-Distance) carries the heaviest weight, followed by Algebra’s Quadratics and Progressions, and Number System’s Exponents/Logarithms — all of which have appeared in every year analysed.

Does this trend analysis guarantee what will appear in CAT 2026?

No. This analysis is based strictly on official papers from 2021–2025 and does not extend as a guarantee to CAT 2026 or any future exam. It’s a prioritization tool, not a prediction.

Which CAT 2026 QA topics are tested with multi-concept questions?

Arithmetic, by a wide margin — 61% of Arithmetic questions in the dataset combine multiple concepts in a single chained scenario, far higher than any other topic.

Is Modern Math worth spending significant prep time on?

Combinatorics is worth solid attention, as it appeared in all five years. Set Theory appeared in only 2 of 5 years and shouldn’t be treated as a guaranteed fixture.

How were the CAT 2026 QA topics in this analysis identified?

By tagging all 330 Quant questions across 15 official CAT papers from 2021–2025 by topic, sub-topic, and scenario type, based purely on question wording, without solving any question for its answer.

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