Quantitative Aptitude - Arithmetic & Algebra

Monday, June 26, 2006

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