CAT Quant topics
Pick the topic you most need. Your first topic is free end to end: lessons, practice and a mastery check.
Arithmetic
Time & Work
Work as a rate: combinations, people joining and leaving, pipes and rosters.
Averages
Two groups combined, someone joining or leaving, and squeezing one value to its limit.
Time, Speed & Distance
D = S × T, relative speed, and the four applications: trains, boats, races and tracks.
Mixtures & Alligation
Alligation, repeated remove-and-replace, and liquid moved between vessels.
Percentages
Multiply, don't add, and always ask "per cent of what?"
Simple & Compound Interest
Compounding, simple against compound, instalments, and a sum split across rates.
Profit, Loss & Discount
CP, marked price and SP as multipliers, and the same-price trap.
Ratio & Proportion
Think in parts: chain ratios, transfers that change a ratio, and whole-number answers.
Algebra
Quadratic & Polynomial Equations
Roots, the discriminant, symmetric expressions and quadratics in disguise.
Progressions & Series
APs, GPs, recurrences and series that telescope.
Inequalities & Modulus
Modulus equations, maxima and minima, and counting integer solutions.
Exponents & Surds
One prime at a time, size comparisons, surds, and substitutions that turn quadratic.
Logarithms
A log is an exponent: log equations, change of base, and inequalities with domains.
Functions
Functional equations, composition, greatest-integer and min-max of two curves.
Linear Equations
Words into equations, integer solutions, and how many solutions a system has.
Number System
Factors & Multiples
Primes one at a time, counting divisors, and listing factor pairs.
Digits & Number Properties
Digit-position puzzles, reversed numbers and digit sums of huge numbers.
Remainders & Divisibility
Remainders of large powers, and the same remainder from several divisors.
Geometry
Quadrilaterals & Polygons
Regular hexagons and octagons, rhombus diagonals, trapeziums and polygon angles.
Triangles
Right triangles with altitudes and incircles, centroids, area splits and hidden similarity.
Circles
Curved areas, chords, angles in a circle, tangents and touching circles.
Coordinate Geometry
Regions built from modulus, shapes from vertices, circles and shortest distances.
Mensuration
Cubes, cylinders, cones cut parallel to the base, prisms and pyramids.