The Conceptual Approach to the CSAT, Paper II

Description

Cover Contents Preface to the Fourth Edition Preface Expressions of Gratitude Part 1: Diagnostic Test Chapter 1: Diagnostic Test Part 2: Numeracy and Problem Solving for the CSAT Chapter 1: Number System Some Important Definitions Various Types of Numbers Number Line Working with Numbers BODMAS Rule for Simplification Absolute Value Digits and 10: Building Blocks of Natural Numbers Tests of Divisibility Unit’s Digit in Products Unit’s Digit in Integral Powers of Natural Numbers Practice Exercise Hints and Solutions Chapter 2: Square, Square Root, and Cube Introduction Some Important Definitions Procedure to find Square and Cube Roots of Natural Numbers Properties of Square of Integer or Natural Numbers Finding Square Root of Fractions Practice Exercise Hints and Solutions Chapter 3: Prime Numbers, Factorization, and HCF and LCM Introduction Fundamental Theorem of Arithmetic Number System: Importance of Pattern Recognition Some Important Definitions HCF of Given Numbers Procedure to Find Out the HCF of Three or More Numbers Procedure to Find Out the LCM of Given Natural Numbers Practice Exercise Hints and Solutions Chapter 4: Decimal Fraction Introduction Conversion of Decimal Fraction into Vulgar Fraction Operations on Decimal Fractions Comparing Fractions using Decimals Recurring Decimals Practice Exercise Hints and Solutions Chapter 5: Ratio, Proportion, and Variation Introduction Properties of a Ratio Proportion Direct Variation Inverse Variation Some Important Results Practice Exercise Hints and Solutions Chapter 6: Rule of Three and Chain Rule Rule of Three Chain Rule Practice Exercise Hints and Solutions Chapter 7: Partnership Introduction Meaning of Partnership Various Types of Partners Division of Profits and Losses Among Partners Practice Exercise Hints and Solutions Chapter 8: Percentage Introduction How to Find the Fraction Equivalent of a Given Percentage How to Increase or Decrease a Number by a Given Percentage How to Find % Increase and % Decrease of a Number Percentage Relation of Two Quantities in Same Units-Effect of Switching the Base for Comparison Practice Exercise Hints and Solutions Chapter 9: The Need for Algebra Use of Symbols Rules for Manipulation of Symbols Constants and Variables Practice Exercise Hints and Solutions Chapter 10: Equations Linear Equations Simultaneous Linear Equations in Two Variables Practice Exercise Hints and Solutions Chapter 11: Problems on Ages Practice Exercise Hints and Solutions Chapter 12: Power and Exponent Defining xn, n a positive integer Results Governing xn, n ∈ N + {0} Definition of a Function General Characteristics of Some Important Functions Squares and Cubes of Binomial Expressions Concept of Factorization Surds Practice Exercise Additional Practice Exercise Hints and Solutions Chapter 13: Profit and Loss Definitions Problems on Discount Practice Exercise Hints and Solutions Chapter 14: Mixtures and Alligations Introduction Cost of Mixture-Given the Cost of Ingredients Determination of Mixing Ratio-Given the Target Cost Two Mixtures (Alloys) of Same Ingredients Practice Exercise Hints and Solutions Chapter 15: Simple and Compound Interest Simple and Compound Interest: Basic Concepts Calculations for Simple Interest Calculations for Compound Interest Concept of Effective Interest Rate Practice Exercise Hints and Solutions Chapter 16: Time and Work Introduction General Concepts and their Application Some Useful Results Work and Wages General Rules (Pipes and Cisterns) Practice Exercise Hints and Solutions Chapter 17: Time and Distance Fundamental Relationships Unit Conversion Understanding Problems on Trains Relative Speed Understanding Problems on Boats and Streams Practice Exercise Hints and Solutions Chapter 18: Set Theory Introduction Sets and Elements Specifying Sets Universal Set and Empty Set Subsets Venn Diagrams Set Operations Finite Sets, Counting Principle Practice Exercise Hints and Solutions Chapter 19: Counting, Permutations, and Combinations Preparatory Maths: Concept of Factorial Fundamental Principles of Counting Permutation Combination Practice Exercise Hints and Solutions Chapter 20: Probability Theory Introduction Complementary Events Addition Principle Independent Events Geometric Probability Practice Exercise Hints and Solutions Chapter 21: Inequalities Introduction Application to Problems of Maxima and Minima Practice Exercise Hints and Solutions Chapter 22: Quantitative Comparison General Suggestion Practice Exercise Hints and Solutions Chapter 23: Quadratic Equation in One Variable Quadratic Equation and Its Solution Properties of Roots of a Quadratic Equation Factorization: A Tool to Solve Quadratic Equations Practice Exercise Hints and Solutions Chapter 24: Sequences and Progressions Definition and Illustrations Arithmetic Progression The Sum of First n Natural Numbers The Sum of the First n Terms of an AP in General Geometric Progression Infinite Geometric Series Practice Exercise Hints and Solutions Chapter 25: Lines, Angles, and Triangles Lines Angles Triangles Quadrilaterals Practice Exercise Chapter 26: Circles Some Important Definitions and Properties Practice Exercise Chapter 27: Mensuration Figures in a Plane Practice Exercise Hints and Solutions Chapter 28: Volume and Surface Area Introduction Rectangular Solid Diagonal Length, Surface Area, and Volume of a Rectangular Solid Cube Cylinder Cone Sphere Practice Exercise Hints and Solutions Chapter 29: Measures of Central Tendency Introduction Various Measures of Central Tendency Practice Exercise Hints and Solutions Chapter 30: Measures of Dispersion Comparison of Mean and Median Dispersion of Data Range Weakness of Range Variance Mathematical Formulae for Statistical Measures IELTS Test in Sheridan College, Canada Concept of Frequency and its Uses Practical Significance of Standard Deviation Cumulative Frequency Table Top and Bottom Performers: Percentiles Quartiles Practice Exercise Answers to Quizzes Chapter 31: Calendar Introduction Concept of an Extra Day Practice Exercise Chapter 32: Clocks Introduction Question Sources Definition Practice Exercise Chapter 33: Races Definitions Practice Exercise Chapter 34: Introduction to Rectangular Coordinates Rectangular Coordinates Quadrants Distance between Two Points Section Formulae Area of a Triangle in Special Situations Change of Axis of Reference Practice Exercise Part 3: General Mental Ability for the CSAT Chapter 1: Pictorial Reasoning Introduction Linear Movement or Rotation Rotation About the Vertical and Horizontal Axes: Mirror and Water Images Types of Questions in Competitive Exams Practice Exercise Hints and Solutions Chapter 2: Geometric Perception Slope of a Line Segment—Relation with Absolute Change Practice Exercise Hints and Solutions Chapter 3: Number Series Building Blocks of Number Series Combination of Building Blocks Number Analogy Missing Number in Geometrical Arrangements Practice Exercise Hints and Solutions Chapter 4: Coding and Decoding Practice Exercise Hints and Solutions Part 4: Logical, Analytical, and Critical Reasoning Section 1: Logical Reasoning Chapter 1: Everybody Needs Logic Introduction An Argument—What It Means Practice Exercise Chapter 2: Venn Diagrams and Syllogism Problems Introduction Structure of a Syllogism Two Approaches to Test Validity of a Syllogism Types of Categorical Statements Essentials of a Venn Diagram Scope of the Terms in a Categorical Statement Testing Arguments by Venn Diagrams Venn Diagrams of Categorical Statements Conclusion from a Single Categorical Statement Concept of Contradiction General Method of Testing Arguments by Venn Diagram Modified Syllogism Practice Exercise Hints and Solutions Chapter 3: Truth table Introduction Logical Connotation of Some Important Words Practice Exercise Hints and Solutions Chapter 4: Unravelling Assumptions and Administrative Course of Action Statement—Assumptions Statement and Courses of Action Statement—Conclusions Degree of Truth or Falsity Strong and Weak Arguments Practice Exercise Section 2: Analytical Reasoning Chapter 1: Analytical Reasoning Question Format Architecture of an Analytical Reasoning Problem Any Trickery?—Not Really Chapter 2: Games with Multifarious Situations Game 1 Game 2 Game 3 Game 4 Game 5 Game 6 Game 7 Game 8 Game 9 Game 10 Game 11 Game 12 Game 13 Hints and Solutions Chapter 3: Attribute Search Questions Practice Exercise Hints and Solutions Chapter 4: Magnitude Comparison of More than Two Entities Practice Exercise Hints and Solutions Chapter 5: Direction Problems Relative Positions—Required Care Practice Exercise Hints and Solution Chapter 6: Family-related Questions Practice Exercise Hints and Solutions Section 3: Critical Reasoning Chapter 1: Cause and Effect: Important Foundation of Critical Reasoning Theory of Causation Necessary and Sufficient Causes Methods of Identifying the Cause of Phenomenon Chapter 2: Fallacies: Avoiding Invalid Arguments Hasty Generalization or Scanty Evidence Post hoc Reasoning Ad Hominem Attack A Dubious Assumption The Excluded Middle Circular Reasoning or Tautology Appeal To Popularity of a Position or Bandwagon Argument Illegitimate Use of Authority Shifting of Terms Argument by Analogy ‘You too’ Fallacy Straw Man Fallacy Chapter 3: Strategy of Answering Critical Reasoning Questions General Strategy Warnings Practice Exercise Hints and Solutions Part 5: Decision Making Chapter 1: Decision Making under Specific Conditions Chapter 2: Decision Making in Civil Services Introduction Origins of Moral/Ethical Doctrines Sources of Moral Principals for Civil Servants Perspective of Possible Questions Fundamental Dimensions of Superior Decision Making Questions with Multiple Valid Responses Practice Exercise Hints and Solutions Chapter 3: Good Governance and Decision Making Introduction Origin of the Phrase Mandates of Good Governance Good Examples of IT Application in Public Services Practice Exercise Hints and Solutions Part 6: Data Interpretation for the CSAT Chapter 1: Speed-Maths for Data Interpretation Chapter 2: Data Interpretation Practice Exercise 1 Practice Exercise 2 Hints and Solutions Part 7: Data Sufficiency Chapter 1: Data Sufficiency Questions—Solution Techniques Structure of Data Sufficiency Problem General Method to Solve Data Sufficiency Problem Data Sufficiency Tree in Steps Smaller Tree—A Time Saver Warnings: Pitfalls to Avoid Three–Statement Data Sufficiency Question – A Sample Practice Questions: Set 1 Practice Questions: Set 2 Practice Questions: Set 3 Practice Questions: Set 4 Hints and Solutions Part 8: English Language Comprehension Skills Chapter 1: English Language Comprehension Skills Introduction Methods of Testing Comprehension Skills Comprehension—What it Means Types of Passages Solved Passages Practice Exercise Part 9: Comprehension Chapter 1: Comprehension Skimming—A Tool to Manage Longer Passages Scanning—A Method of Searching Specific Details Part 10: Interpersonal and Communication Skills Chapter 1: Interpersonal and Communication Skills Introduction Interpersonal Behaviour—One Necessary Key to a Blazing Career Behaviour is the Man Goodwill Accounts Accumulating Debit Balance—Implies Obligation Understanding Others Needs: Legitimate or Otherwise Value of Intent Listening in Communication No Interruption, Please OK and Not-OK Positions in Interaction between Two Individuals In Praise of Assertiveness Being Politely Assertive Ego—A Big Problem Avoidance of Stereotypes and Prejudices Managing Emotions for Better Interpersonal Relations Dealing with Anger Channels of Communication Multiplying Channels of Communication Filtering of Communication Self-filtering of Communication Becoming Artful Critic Improvement Orientation Being Specific Offering a Solution Importance of Privacy Ownership of Junior’s Work Personal Space The Power Seat Aggressive Proxemics Biological Need for Space Intimate Distance Personal Distance Impersonal Distance Public Distance Group Dynamics Chairperson’s Role Participant’s Role Challenges of the Solution Provider Team Practice Exercise Part 11: Mock Tests Mock Test 1 Hints and Solutions Mock Test 2 Hints and Solutions Mock Test 3 Hints and Solutions Mock Test 4 Hints and Solutions Mock Test 5 Hints and Solutions CSAT Paper 2012 Hints and Solutions CSAT Paper 2013 Hints and Solutions