Advanced Quantitative Aptitude
Number Theory, Permutations, Probability, Functions & Series
This is the Advanced Quantitative Aptitude syllabus taught for CAT (Common Admission Test). Each topic opens as a full chapter — theory, worked examples and the traps that paper actually uses.
Topics in Advanced Quantitative Aptitude
- Functions, Graphs and Maxima-MinimaFunction types, composition, graphs, modulus, and optimization problems.
- Percentages, Profit-Loss and InterestPercentage change, profit and loss, discounts, simple and compound interest.
- Geometry and Coordinate GeometryTriangles, circles, polygons, similarity and the coordinate plane.
- Equations and InequalitiesLinear and quadratic equations, inequalities, and their integer solutions.
- Logarithms, Surds and IndicesLaws of exponents, radicals, and logarithmic identities and manipulation.
- Mensuration (2D and 3D)Areas, perimeters, surface areas and volumes of plane and solid figures.
- Permutations, Combinations and ProbabilityCounting principles, arrangements, selections and basic probability.
- Number System and Number TheoryFactors, divisibility, remainders, HCF-LCM, base systems and properties of integers.
- Sequences and SeriesArithmetic, geometric and harmonic progressions and summation of series.
- Ratio, Proportion, Mixtures and AlligationRatios, proportions, partnership sharing, and mixture-alligation problems.
- Time, Speed and DistanceRelative speed, trains, boats and streams, races and circular motion.
- Time and WorkWork rates, pipes and cisterns, and combined-effort scheduling problems.
Practise Advanced Quantitative Aptitude
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