Various Posts Quantitative Aptitude Syllabus

Various Posts Quantitative Aptitude: topic-wise syllabus

1. 1

   Arithmetic

   ~2 marks

   Number System, HCF-LCM, Indices, Surds

   • Number System (Natural, Whole, Integer, Rational, Real)
   • Divisibility Rules, Factors, Multiples
   • HCF and LCM (Euclidean Algorithm, Properties)
   • Indices, Exponents, Powers (Laws of Indices)
   • Surds, Simplification of Surds, Rationalization
   • Simplification, Approximation, BODMAS Rule
   • Fractions, Decimals, Reciprocals
   • Number Series, Missing Number, Wrong Number
   • Unit Conversion (Length, Weight, Capacity, Time)
   • Place Value, Face Value, Roman Numerals
2. 2

   Arithmetic

   ~2 marks

   Percentages, Profit-Loss, SI, CI, Discount

   • Percentages (Conversion, Increase, Decrease)
   • Successive Percentage Changes
   • Profit and Loss (Cost Price, Selling Price, Markup, Discount)
   • Simple Interest (SI Formula, Calculations)
   • Compound Interest (CI Formula, Annual/Semi-Annual/Quarterly)
   • Difference between CI and SI (2-year, 3-year)
   • Discount (True Discount, Successive Discounts)
   • Stocks and Shares (Dividend, Brokerage, Market Value)
   • GST, VAT, Sales Tax Calculations
   • Population Growth, Depreciation, Inflation Calculations
3. 3

   Arithmetic

   ~2 marks

   Ratio, Proportion, Mixture, Partnership, Ages

   • Ratio and Proportion (Simple, Compound, Inverse)
   • Variation (Direct, Inverse, Joint)
   • Mixture and Alligation (Replacement Problems)
   • Partnership (Profit Sharing, Capital Ratio, Time)
   • Time and Work (Efficiency, Work Equivalence)
   • Wages Calculation (Time-based, Work-based)
   • Pipes and Cisterns (Inlet, Outlet, Efficiency)
   • Ages (Present, Past, Future, Ratio of Ages)
   • Time and Distance, Relative Speed
   • Trains, Boats and Streams, Races
4. 4

   Algebra

   ~2 marks

   Linear, Quadratic, Polynomials, Identities, Inequalities

   • Linear Equations in One, Two Variables
   • Quadratic Equations (Roots, Discriminant, Nature of Roots)
   • Polynomials (Degree, Roots, Factorization)
   • Algebraic Identities (a+b)^2, a^2-b^2, etc.
   • Factorization Techniques (Common Factor, Grouping, etc.)
   • Algebraic Expressions (Simplification, Evaluation)
   • Inequalities (Linear, Quadratic, Absolute Value)
   • Linear Programming (Basic — for BBA/MBA)
   • Simultaneous Equations, Word Problems
   • Ratio, Proportion, Variation in Algebra
5. 5

   Geometry, Mensuration, Coordinate Geometry

   ~2 marks

   • Lines and Angles (Types, Properties, Pairs)
   • Triangles (Properties, Congruence, Similarity, Theorems)
   • Quadrilaterals (Types, Properties, Area)
   • Circles (Theorems, Tangents, Chords, Arcs, Sectors)
   • Polygons (Types, Properties, Interior Angles)
   • Coordinate Geometry (Straight Line, Circle, Slope, Distance)
   • Area, Perimeter (2D Shapes — Triangle, Square, Circle, etc.)
   • Surface Area, Volume (3D Shapes — Cube, Cuboid, Sphere, Cylinder)
   • Trigonometry (Ratios, Identities, Heights, Distances)
   • Pythagoras Theorem, Similar Triangles, Area Theorems
6. 6

   Data Interpretation

   ~2 marks

   Tables, Charts, Caselets, Data Sufficiency

   • Table DI (Direct and Calculation-Based)
   • Bar Graph DI (Single, Double, Stacked)
   • Pie Chart DI (Sector Angle, Percentage, Comparison)
   • Line Graph DI (Trend Analysis, Multiple Lines)
   • Caselet DI (Story-Based Data, Multi-Step)
   • Data Sufficiency (Two-Statement, Three-Statement)
   • Comparison DI (Ratio, Percentage, Difference)
   • Missing Data DI (Find the Missing Value)
   • Radar/Web/Mixed Chart DI
   • Quant-Based DI (Averages, Ratios in Data)
7. 7

   Modern Math

   ~2 marks

   Sets, Relations, Probability, Statistics

   • Sets, Relations, Functions, Venn Diagrams
   • Permutation and Combination (nPr, nCr, Probability)
   • Probability (Conditional, Bayes Theorem, Independent Events)
   • Statistics (Mean, Median, Mode, Range, Standard Deviation)
   • Matrices and Determinants (Operations, Inverse, Cramer's Rule)
   • Trigonometry (Heights and Distances, Identities)
   • Sequences and Series (AP, GP, HP, Sum of n terms)
   • Logarithms, Antilogarithms, Properties
   • Number Series (Pattern-Based, Fibonacci, Square, Cube)
   • Clock, Calendar, Time-Based Problems