This syllabus can be also called as Universal Aptitude Syllabus, where we are covering almost all topics, which will be very helpful to you for crack any Competitive exams of the world.
Exams Like Civil services, Federal services, ACT, SAT, GMAT, GRE, ASVAB, UPSC, SSC, Banking Exams, CAT, Railways etc..
APTITUDE SYLLABUS | |
Basic Calculation & Simplification | – Addition & Subtraction – Multiplication – Divisible – Squaring & Square root – Cube & Cube root – Problems |
Number System | – Natural numbers, Whole numbers, Integers, Positive & Negative Integers, Rational & Irrational numbers, Real numbers, Complex numbers, Even & Odd numbers, Prime numbers, Composite numbers, Co Prime numbers. – Test of Divisibility – H.C.F and L.C.M – Counting number of Zeros – Cyclicity – Remainder Theorem – Polynomial Theorem – Squares of numbers – Algebraic Formulae – Problems |
Average | – Explanation & Conditions – Problems |
Ratio and Proportion | – Ratio – Duplicate Ratio – Triplicate Ratio – Sub-duplicate Ratio – Sub-triplicate Ratio – Inverse Ratio or Reciprocal Ratio – Compound Ratio – Proportion – Fourth Proportional – Third Proportional – Mean Proportional – Problems |
Partnership | – Explanation & Conditions – Problems |
Percentage | – Basic Formulae – Conditions – Problems |
Profit and Loss | – Cost price – Selling price – Profit (Gain) – Loss – Basic Formulae – Discounts – Problems |
Interest | – Simple Interest – Compound Interest – Basic Formulae – Conditions – Problems |
Time and Work | – Conditions – Concept of Negative work – Pipes and Cisterns – Concept of Man & Day – Concept of Man, Day, & Hour – Concept of efficiency – Problems |
Time, Speed and Distance | – Units of Measurements – Basic Formulae – Cases or Conditions – Boat and Streams – Problems |
Elementry Algebra | – Algebric expression – Linear equation – Quardratic equation – Factor Theorem – Law of Proportions – Inequality – Problems |
Surds, Indices and Logarithms | – Laws of Indices – Laws of Surds – Logarithms (Properties of Logarithms) – Problems |
Progression | – Arithmetic Progression – Geometric Progression – Harmonic Progression – Problems |
Permutation and Combination | – Permutation – Combination – Binomial Theorem – Circular Permutation – Problems |
Probability | – Explanation & Conditions – Problems |
Geometry (Plane & Solid Mensuration) | – Angles, Parallel lines, & Transverse – Polygons – Triangles (Equilateral triangle, Isosceles triangle, Scalene triangle) – Pythagoras Theorem – Quadrilaterals – Rectangles – Rhombus – Square – Parallelogram – Trapezium – Mensuration & solid Geometry (Cube, Cuboid, Cylinder, Cone, Sphere, Hemisphere, Right Prism, Pyramid, Frustum of cone) – Trigonometry – Circles and its properties – Tangents and Secants – Problems |
Set Theory | – Types of Set – Operations on Sets – Problems |
Clock | – Explanation & Conditions – Problems |
Competitive Advance Mathematics Syllabus Click Here