Quantitative Aptitude - Arithmetic & Algebra
Monday, June 26, 2006
- Numbers
- Number System
- Classification of Numbers
- Properties of Numbers
- Base System & Base Conversion
- Absolute Value
- Basic Arithmetic Operations
- VBODMAS Rule
- Symbol Based Problems
- Divisibility Test
- HCF & LCM
- HCF & LCM of Integers
- HCF & LCM of Fractions & Decimal numbers
- Surds and Indices
- Square numbers
- Square roots & Cube roots
- Laws of Indices
- Rule of cyclicity
- Laws of surds
- Averages
- Types of averages
- Arithmetic mean
- Geometric mean
- Harmonic mean
- Relation between the three means i.e AM, GM, HM
- Percentages
- Definition of percentage
- Application involving percentage
- Stocks and Shares
- Simple & Compound Interest
- SI & CI
- Population & Depreciation
- Profit & Loss
- Basic terminology in Profit & Loss
- Important formulae in Profit & Loss
- Basic Algebraic Operations
- Basic concepts of Algebra
- Arithmetic operations on algebraic expressions
- Algebraic formula and their applications
- Important algebraic formulae
- HCF & LCM of polynomials
- Simple Equations
- Framing a simple equation
- Conversion of verbal statements to simple equation
- Simultaneous Equations
- Simultaneous equations
- General method of solving simultaneous equations
- Quadratic Equations
- Definition of a quadratic equation
- Roots of a quadratic equation
- Relation between roots and coefficients
- Nature of the roots of a quadratic equation
- Equation reducible to quadratic equation
- Inequations
- Definition of an inequation
- Properties of inequalities
- Quadratic inequalities
- Ratio, Proportion & Variation
- Definition of a ratio
- Composition of ratios
- Order of ratios
- Properties of ratios
- Definition of proportion
- Continued proportion
- Variation
- Important results of proportion
- Partnership
- Definition of partnership
- Simple & Compound Partnership
- Mixtures & Alligations
- Types of mixtures
- Alligation Rule
- Important results based on Alligation rule
- Time, Speed & Distance
- Definition of speed
- Average speed & proportion related to Average speed
- Relative speed & proportion related to Relative speed
- Races
- Basic terminology in races
- Important formulae related to races
- Work
- Definition of work
- Important formulae for work related problems
- Pipes & Cisterns
- Calendar
- Clocks
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