Quantitative Syllabus for CAT and other competitive exams

CH. 1 NUMBER SYSTEM

Numbers, HCF and LCM of Numbers, Decimal fractions, Simplification, Square and Cube roots, Problems on Numbers, Problems on Ages, Division rules.

CH. 2 SET THEORY

Sets, Sub-sets, Venn Diagrams.

CH. 3 FUNCTIONS

Various kinds of functions – even and odd functions, increasing and decreasing functions. Composite functions, graphs of functions, maximum and minimum value.

CH. 4 AVERAGE, RATIO & PROPORTION

Average, Mean, Weighted average, Ratios, Distribution, Division, Mixtures and Alligations, Partnership.

CH. 5 ALGEBRA

Quadratic Equations (Real and Non-real roots), Algebraic expressions, Logarithms, A.P., G.P., H.P., Inequalities, Series – summation, Fibonacci series.

CH. 6 PERCENTAGE

Percentage, Profit and Loss, Simple and Compound interest, Percentage – increase and decrease in growth.

CH. 7 GEOMETRY

Lines, Parallel Lines, Triangles, Right angled triangle, Similarity of Triangles, Angles and sides of a Triangle, Area of a Triangle, Quadrilaterals, Square, Rectangle, Rhombus, Trapezium, Diagonals, Perimeter, Circles, Circumscribing and Inscribing of Circles, Triangles and Quadrilaterals in each other, Tangents, Chords, Perpendicular bisectors. Rules of Geometry to find the measures of angles and length of sides.

CH. 8 MENSURATION

Area, Volume, Surface area of various 2D and 3D geometric figures like Triangle, Circles, Quadrilaterals, Cones, Cylinders, Frustums, Cubes,Cuboids. Conversion of paper into various forms and one shape into another.

CH. 9 TIME, DISTANCE & WORK

Time, Distance, Speed, Times and Work, Pipes and Cisterns, Problems on trains, boats and steams, Races and games of skill, Calendar, Clocks.

CH. 10 PERMUTATION, COMBINATION & PROBABILITY

Number of ways to find out favourable events – permutations and combinations, Probability.