Mathematics Study Guide
Mathematics (Quantitative Aptitude) is a scoring section in competitive exams. Master these topics with formulas and shortcuts.
Arithmetic
- Number System: Divisibility rules, LCM/HCF, Unit digit, Remainder theorem
- Percentage: Increase/Decrease, Successive changes, Population-based problems
- Ratio & Proportion: Partnership, Mixture & Alligation, Mean proportion
- Profit & Loss: Discount, Marked price, Successive discounts, GST calculations
- Simple & Compound Interest: Installments, Difference between SI & CI
- Time, Speed & Distance: Relative speed, Average speed, Train problems, Boats & Streams
Algebra & Geometry
- Algebraic Expressions: Identities, Factorization, Linear/Quadratic equations
- Geometry: Lines & Angles, Triangles (Pythagoras, Congruence), Circles, Polygons
- Mensuration: Area & Perimeter of 2D shapes; Volume & Surface area of 3D solids
- Coordinate Geometry: Distance formula, Section formula, Slope, Equation of line
- Trigonometry: Ratios, Heights & Distances, Identities (0° to 90°)
Data Interpretation & Statistics
- Data Interpretation: Tables, Pie charts, Bar graphs, Line graphs, Mixed diagrams
- Statistics: Mean, Median, Mode, Standard deviation, Range
- Probability: Coin, Dice, Card problems; Dependent & Independent events
- Permutation & Combination: Factorial, Arrangements, Selections, Circular arrangements