Quantitative Aptitude for CA-CPT Common Proficiency Test

Description

Cover Copyright Page Contents Preface About the Authors Introduction Chapter 1 Ratio and Proportion Introduction Ratio Points to Remember Proportion Properties of Proportions K-method Variations Useful Rules Chapter 2 Indices and Logarithms Indices Laws of Indices Logarithm Types of Logarithm Laws of Logarithm Characteristic and mantissa Negative characteristics Antilogarithms Chapter 3 Equations Equations Types of Equations Linear equations with one variable Linear equation with two variables System of Equations Methods of solving a system of simultaneous linear equations Method of solving simultaneous linear equation with 3 variables Consistent and inconsistent systems of two simultaneous linear equations Quadratic Equations Nature of Roots Remember Cubic Equations Co-ordinate Geometry Slope of a Line Intercepts Equations of a line Centroid of a Triangle Chapter 4 Inequalities Inequalities Graph of an Inequation Points to Remember Method of Solving Linear Inequations Chapter 5 Simple Interest, Compound Interest and Annuity Interest Types of interest Simple Interest Compound Interest Effective Rate of Interest Annuity Future value Future value of an annuity regular Future value of an annuity due Present value Present value of an annuity regular Present value of an annuity due Sinking Fund Chapter 6 Permutations and Combinations Introduction Fundamental Principles of Counting Factorial Notation Arrangements and Selections Permutations Permutations of Like/Similar Things Circular Permutations Restricted Permutations Combinations Properties of Combinations Types of Combinations The notion of Independence in Combination Chapter 7 Sequence and Series Sequence and Series Arithmetic Progression Sum of Terms in an Arithmetic Progression Arithmetic Mean Geometric Progression Geometric Mean Chapter 8 Sets, Relations and Functions Sets Methods of Representing a Set Different Types of Sets Venn Diagram Operations on a Set Laws of Set Operations Cardinal Numbers Cartesian Product of Sets Results of Cartesian Products of Sets Relations Relation on a Set Different Types of Relation Functions Various Types of Functions Chapter 9 Limits and Continuity Functions Types of Function Limits of a Function Rules on limits Methods of calculating limits Factorisation method Solving by rationalization L’Hospital rule Some important standard limits Continuity Discontinuous function Chapter 10 Differential and Integral Calculus Differentiation Some standard derivative Basic Laws of Differentiation Derivative of a Function Implicit Functions Parametric Equation Logarithmic Differentiation Higher Order Derivatives Geometric Interpretation of the Derivative Integration Some Basic Results Basic Laws of Integration Some More Standard Results Integration by Substitution Integration by Parts Integration by the Method of Partial Fraction Definite Integration Properties of Definite Integrals Chapter 11 Statistical Description of Data Introduction Definition of Statistics Characteristics of Statistics Application of Statistics Functions of Statistics Limitations of Statistics Data Collection of data Methods of Collecting Primary Data Scrutiny of Data Classification of Data Presentation of Data Modes of Presentation of Data Merits of Tabular Presentation over Textual Presentation Types of line diagram Frequency Distribution Some Important Terms in a Frequency Distribution Uni-variate and Multi-variate frequency distribution Cumulative Frequency Relative Frequency of a class Frequency density of class interval Graphical Representation of a Frequency Distribution Chapter 12 Measures of Central Tendency and Dispersion Central Tendency Measures of Central Tendency Criteria for an Ideal Measure of Central Tendency Arithmetic Mean (A.M.) Properties of Arithmetic Mean Median Properties of Median Mode Properties of Mode Comparison Among Mean, Median and Mode Geometric Mean Properties of Geometric Mean Harmonic Mean Weighted Average Dispersion Range Properties of Range Quartile Deviation Mean Deviation (Average Deviation) Properties of Mean Deviation Standard Deviation Properties of Standard Deviation Chapter 13 Correlation and Regression Correlation Correlation Coefficient Types of Correlation Methods of Correlation Analysis Karl Pearson’s (Product Moment) Correlation Coefficient Covariance Properties of Coefficient of Correlation Spearman’s Rank Correlation Coefficient Scatter Diagram Coefficient of Concurrent Deviation Regression Analysis Chapter 14 Probability Definition Important Terms Used in Probability Definitions of Probability Limitations of Mathematical Formula Limitations of Statistical Formula Addition Theorem of Probability (for Mutually Exclusive Events) Conditional Probability Multiplication Rule or Compound Probability or Joint probability Random Variable Mathematical Expectations Chapter 15 Theoretical Distributions Introduction Discrete Probability Distribution Continuous Probability Distribution Binomial Distribution Conditions Under which Binomial Distribution is Applied Properties of Binomial Distribution Applications of Binomial Shape of a Binomial Distribution Poisson Distribution Conditions Under which Poisson Distribution can be Applied Properties of Poisson Distribution Poisson Distribution Approximation to Binomial Distribution Application of Poisson Distribution Normal Distribution/Gaussian Distribution Properties of Normal Distribution Applications of Normal Distribution Standard Normal Distribution Properties of Standard Normal Distribution Chapter 16 Sampling Theory Introduction Types of Sampling Errors Some Important Terms Associated with Sampling Basic Principles of Sample Survey Different Methods of Sampling Types of Probablity Sampling Methods Statistical Inference Theory of Estimation Criteria of good estimator: Determination of Sample Size Chapter 17 Index Numbers Definition Use of Index Numbers Limitations of Index Numbers Methods of Constructing Index Numbers Simple or Unweighted Index Numbers Weighted Index Numbers Quantity Index Number Value Indices Consumer Price Index Number (Cost of Living Index Numbers) Uses of Consumer Price Index Numbers Tests for Adequacy of Index Numbers Shifting and Splicing of Index Numbers Appendix