Quant · CAT 2026

CAT Quant Blogs: Arithmetic, Algebra & Number Systems

Quantitative Aptitude is the section that decides 99th-percentile dreams. The Optima Learn Quant blogs break down every recurring topic from CAT 2010 to 2024 (arithmetic, algebra, geometry, modern math, and number systems) into score-able playbooks. Every article is backed by our 20,000+ PYQ corpus, so the strategies you read are the ones that statistically work in the real CAT paper.

All Quant articles

32 articles
Averages Formulas for CAT 2026: 12 Solved Questions
Quant

May 20, 2026

Averages Formulas for CAT 2026: 12 Solved Questions

A standalone CAT 2026 averages cheatsheet: the 6 core formulas, the weighted-average cross-multiplication shortcut, the "remove one element" replacement trick, moving averages, the…

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CAT 2026 Percentage Tricks: Fraction Table + 15 PYQs
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May 19, 2026

CAT 2026 Percentage Tricks: Fraction Table + 15 PYQs

A speed-first percentage formula reference for CAT 2026 aspirants, closing the percentage-foundation gap in the Optima Learn arithmetic cluster.

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How to Improve CAT Quant Score: 6-Week Sprint Plan for 70-85 Percentile Aspirants
Quant

May 18, 2026

How to Improve CAT Quant Score: 6-Week Sprint Plan for 70-85 Percentile Aspirants

A diagnostic-first guide to improving CAT Quant score from the 70 to 85 percentile band: 3 root causes (concept gaps, calculation errors, question-selection errors), targeted fix per root cause,…

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Geometry Formulas for CAT 2026: Triangles, Circles, Mensuration, Coordinate
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May 18, 2026

Geometry Formulas for CAT 2026: Triangles, Circles, Mensuration, Coordinate

The complete CAT 2026 geometry formula mega-sheet covering all four pillars: triangles, circles, mensuration, and coordinate geometry.

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Ratio and Proportion Formulas for CAT 2026: Mixtures, Alligation + 10 PYQs
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May 18, 2026

Ratio and Proportion Formulas for CAT 2026: Mixtures, Alligation + 10 PYQs

Ratio and proportion as the master-key framework for CAT 2026 arithmetic: every formula, the see-saw alligation method for mixtures, the partnership investment-time identity, the mixture…

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Profit and Loss Formulas for CAT 2026: Every Formula + 15 PYQs
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May 18, 2026

Profit and Loss Formulas for CAT 2026: Every Formula + 15 PYQs

Every profit and loss formula CAT 2026 aspirants need, with the successive-discount equivalence shortcut, marked-price vs cost-price decoding logic, and 15 CAT previous year questions solved using…

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Simple Interest and Compound Interest Formulas for CAT 2026 + 12 PYQs
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May 18, 2026

Simple Interest and Compound Interest Formulas for CAT 2026 + 12 PYQs

Every simple interest and compound interest formula CAT 2026 aspirants need, with the 30-second CI-to-SI approximation trick, successive-year ratio identity, and 12 CAT previous year questions…

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Probability Formulas for CAT 2026: 16 Rules + 12 PYQs
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May 14, 2026

Probability Formulas for CAT 2026: 16 Rules + 12 PYQs

A unified 16-rule cheatsheet for CAT 2026 probability that treats probability and permutation-combination as one topic solved with a single 4-step protocol.

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Averages, Mixtures, Alligation for CAT 2026: 15 PYQs
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May 14, 2026

Averages, Mixtures, Alligation for CAT 2026: 15 PYQs

An 18-formula cheatsheet covering CAT 2026 averages, mixtures, and alligation — the combined arithmetic cluster that produces 3 to 4 questions every CAT paper.

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Functions and Graphs for CAT 2026: 18 Concepts + 14 PYQs
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May 12, 2026

Functions and Graphs for CAT 2026: 18 Concepts + 14 PYQs

An 18-concept functions and graphs cheatsheet for CAT 2026, structured around the recognition cues CAT setters reuse: domain restrictions from square roots, denominators, and logs; even, odd,…

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Ratio and Proportion Formulas for CAT 2026: 20 + 15 PYQs
Quant

May 12, 2026

Ratio and Proportion Formulas for CAT 2026: 20 + 15 PYQs

A 20-formula ratio and proportion cheatsheet for CAT 2026, framed as the master-key topic underneath the entire Arithmetic cluster.

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Simple Interest and Compound Interest Formulas for CAT 2026
Quant

May 12, 2026

Simple Interest and Compound Interest Formulas for CAT 2026

A 16-formula simple interest and compound interest cheatsheet for CAT 2026, structured around the conversion shortcut that wins CAT marks: CI minus SI for 2 years equals P times (R/100) squared.

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Inequalities for CAT 2026: 16 Properties + Wavy Curve Method
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May 12, 2026

Inequalities for CAT 2026: 16 Properties + Wavy Curve Method

A 16-property inequalities cheatsheet for CAT 2026 plus a step-by-step walkthrough of the wavy curve method that handles polynomial and rational inequalities of any degree.

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Time and Work Formulas for CAT 2026: 18 Shortcuts + 15 PYQs
Quant

May 12, 2026

Time and Work Formulas for CAT 2026: 18 Shortcuts + 15 PYQs

An 18-formula time and work cheatsheet for CAT 2026, built around the LCM-based efficiency method that handles every CAT variant: two-worker basics, multi-worker chains with alternate-day or…

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Profit Loss and Discount Formulas for CAT 2026: 22 + 15 PYQs
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May 12, 2026

Profit Loss and Discount Formulas for CAT 2026: 22 + 15 PYQs

A 22-formula profit, loss and discount cheatsheet for CAT 2026, structured around the four blocks CAT actually tests: CP-SP-MP basics, markup-discount chain, successive discount, and false weight or…

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Percentages Formulas for CAT 2026: 18 Shortcuts + 20 PYQs
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May 12, 2026

Percentages Formulas for CAT 2026: 18 Shortcuts + 20 PYQs

An 18-shortcut percentages cheatsheet for CAT 2026, structured around the four blocks CAT actually tests: basic conversions and percentage change, successive percentage chains, reverse percentage…

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Quadratic Equations for CAT 2026: 19 Formulas + 16 PYQs
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May 11, 2026

Quadratic Equations for CAT 2026: 19 Formulas + 16 PYQs

A 19-formula quadratic equations cheatsheet for CAT 2026, structured around the four blocks CAT actually tests: standard form, Vieta sum-product identities, discriminant nature-of-roots analysis, and…

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Number System Formulas and Tricks for CAT 2026: 24 Rules
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May 11, 2026

Number System Formulas and Tricks for CAT 2026: 24 Rules

A 24-rule Number System cheatsheet for CAT 2026, structured as a concept map across four pillars: divisibility, remainder theorem with modular arithmetic, LCM HCF identities, and unit digit…

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Permutation Combination Formulas for CAT 2026 + 20 PYQs
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May 11, 2026

Permutation Combination Formulas for CAT 2026 + 20 PYQs

A 20-formula PnC cheatsheet for CAT 2026, structured around the single recognition test of arrangement vs selection.

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Time Speed Distance Formulas for CAT 2026: 22 Shortcuts
Quant

May 11, 2026

Time Speed Distance Formulas for CAT 2026: 22 Shortcuts

A complete 22-shortcut cheatsheet for Time Speed Distance, the single highest-weightage Quants topic on CAT 2026, organised into five recognition-first blocks: foundation, relative speed, boats and…

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Logarithm Formulas for CAT 2026: 18-Formula Cheatsheet
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May 11, 2026

Logarithm Formulas for CAT 2026: 18-Formula Cheatsheet

A complete 18-formula logarithm cheatsheet for CAT 2026, organised into four recognition-first blocks: core properties, change of base, special values, and advanced identities.

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20 Solved AP GP Formula Questions for CAT 2026 Practice
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May 8, 2026

20 Solved AP GP Formula Questions for CAT 2026 Practice

A CAT 2026 practice set of 20 AP GP formula questions structured into 4 clusters of 5 with step-by-step solutions: AP basics (nth term, sum forms, AM, sum of n), GP fundamentals (nth term, finite +…

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AP GP Formulas vs HP Formulas: Tricks for CAT 2026
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May 8, 2026

AP GP Formulas vs HP Formulas: Tricks for CAT 2026

A side-by-side comparison of arithmetic, geometric, and harmonic progressions for CAT 2026.

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6 AP GP Formula Shortcuts to Solve CAT in 60 Seconds
Quant

May 8, 2026

6 AP GP Formula Shortcuts to Solve CAT in 60 Seconds

A speed-math drill for CAT 2026 AP GP questions, built around 6 shortcuts that crack the topic in under 60 seconds: infinite GP for repeating decimals, AP Gauss for first-and-last visible, AM-GM…

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FAQ

Frequently asked questions

Quick answers to common questions about Optima Learn's CAT blogs, our editorial process, and how to use the articles in your prep.

Yes, every article on the Optima Learn blog is completely free, with no paywall. We publish detailed CAT preparation guides, syllabus deep-dives, mock test analysis, and exam updates so aspirants can study smarter without paying for content.

We publish new articles daily. The volume varies with the CAT calendar: some days see 8 to 10 new pieces (around notifications, slot booking, or results), other days run 2 to 4, and a quiet day might be one focused deep-dive. The /blogs/explore page always shows the most-recent articles first, and our XML sitemap is refreshed automatically as new posts go live.

Articles are produced by the Optima Learn editorial team and reviewed against our internal accuracy standards. Strategy and exam-update articles cross-reference the official IIMCAT bulletin, IIM reports, and our 20,000+ PYQ corpus.

Yes. Optima Learn maintains a tagged corpus of 20,000+ Previous Year Questions across CAT VARC, Quant, and DILR. Our strategy and section-wise articles cite specific PYQs, topic frequencies, and difficulty distributions sourced from this dataset rather than generic advice.

A focused 6-month CAT 2026 plan is realistic if you commit 2 to 3 hours daily. Start with our Strategy category for a baseline study plan, then drill into Quant, VARC, and DILR with the section-specific articles. Use Productivity articles to build a sustainable routine and Exam Updates to stay current with the official CAT timeline at iimcat.ac.in.

Bookmark /blogs/explore, it always shows the newest articles. We also publish exam-update articles as soon as official notifications drop, so checking the Exam Updates category around major CAT calendar dates is the fastest way to stay current.
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