CAT Quant — The Complete Course
Every topic CAT Quantitative Aptitude can test, mapped end to end — Arithmetic, Algebra, Number System, Geometry, Mensuration and Modern Maths. Premium concept notes, CAT shortcuts, solved examples and auto-graded tests. Also serves XAT, IIFT, SNAP, NMAT, CMAT, MAT and banking/SSC aptitude. Free, forever.
Arithmetic
The highest-scoring CAT area (35–45% of QA). Percentages, ratios, averages, profit-loss, interest, work and motion — the topics that decide your percentile.
Percentage Basics & Conversions · Percentage Change · Successive Percentage Change · …
Cost, Selling & Marked Price · Profit & Loss % · Discount & Successive Discount · …
Basic & Compound Ratio · Continued Ratio · Proportion · …
Arithmetic Mean · Weighted Average · Average Speed · …
Mixing Two Substances · Alligation Rule · Concentration & Dilution · …
Principal, Rate & Time · Interest & Amount · SI Applications
Annual Compounding · Half-Yearly & Quarterly · Growth & Depreciation · …
Individual Efficiency · Combined Work · Alternate Working · …
Inlet & Outlet Pipes · Combined Filling · Leak Problems
Speed Basics · Average Speed · Relative Speed · …
Upstream & Downstream · Still Water Speed · Round Trip Problems
Crossing a Point · Crossing a Platform · Two Trains Crossing
Meeting Point · First Meeting at Start · Same & Opposite Direction
Investment Ratio · Profit Sharing · Working & Sleeping Partner
Present & Past Ages · Ratio of Ages · Future Ages
Algebra
The second pillar of CAT QA (25–35%). Equations, functions, logarithms, progressions and the algebra of inequalities and modulus.
One Variable · Two Variables · Simultaneous Equations · …
Roots & Nature of Roots · Factorization · Sum & Product of Roots · …
Polynomial Identities · Factor Theorem · Remainder Theorem · …
Linear Inequalities · Quadratic Inequalities · Modulus Inequalities · …
Domain & Range · Types of Functions · Composite Functions · …
Absolute Value · Modulus Equations · Modulus Graphs
Log Laws · Change of Base · Logarithmic Equations · …
Laws of Indices · Fractional Indices · Rationalization · …
nth Term · Sum of n Terms · AP Applications
nth Term · Sum of GP · Infinite GP
HP Basics · AM-GM-HM Relationship
Pattern Recognition · Special Series · Recurrence Relations
Number System
The concept-heavy core of CAT (10–15%). Divisibility, factors, remainders, cyclicity and bases — where elegant logic beats brute force.
Rules for 2–11 · Advanced Divisibility
Number of Factors · Sum of Factors · Product of Factors
Common Multiples · Multiple Counting
Primality · Prime Factorization · Co-primes
Euclid Method · HCF Applications
LCM by Factorization · HCF-LCM Relationship · LCM Applications
Remainder Theorem · Negative Remainders · Wilson & Fermat
Congruences · Modular Operations · Applications
Cycle of Powers · Pattern Period
Last Digit · Last Two Digits
Binary & Octal · Base Conversion · Base Arithmetic
Trailing Zeros · Highest Power · Factorial Properties
Square Properties · Number of Factors Test
Cube Properties · Sum of Cubes
Geometry
A regular 15–20% of CAT QA. Lines, triangles, circles and the coordinate plane — heavy on properties, ratios and clever constructions.
Parallel Lines & Transversal · Interior & Exterior Angles · Angle Pairs
Congruence · Similarity & Area Ratios · Pythagoras · …
Parallelogram & Rectangle · Rhombus & Square · Trapezium & Kite
Interior & Exterior Angles · Regular Polygons · Diagonals
Chords & Arcs · Tangents & Secants · Cyclic Quadrilateral · …
Distance & Midpoint · Section Formula · Slope & Lines · …
Mensuration
The formula-driven scorer. 2D areas and perimeters, 3D surface areas and volumes — fast marks once the formulas are automatic.
Triangle & Quadrilateral Area · Circle, Sector & Segment · Perimeter Problems
Cube & Cuboid · Cylinder & Cone · Sphere & Hemisphere · …
Composite Figures · Shaded Regions · Paths & Borders
Melting & Recasting · Liquid in Containers · Combined Solids
Modern Mathematics
Fewer questions, but highly scoring when clear. Counting, probability, sets, binomial theorem and logical reasoning.
Union & Intersection · Complement · Venn Diagrams (2 & 3 sets)
Arrangements · Selections · Circular Arrangements · …
Classical Probability · Conditional Probability · Independent Events · …
Expansion · General Term · Middle Term · …
Logical Statements · Truth Tables · Quantifiers
Fundamental Principle of Counting · Multiplication Principle · Addition Principle
Premium study material is rolling out chapter by chapter
The full 57-chapter syllabus and chapter browser are live now. Each chapter is being built to a gold standard — concept theory, formula sheets, CAT shortcuts, solved examples with hint ladders, common-mistake traps and auto-graded topic & chapter tests. Percentages is live as the flagship; the rest follow.