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QUANTITATIVE APTITUDE

Contents

1. Basic Tips for Calculation

2. Arithmetic

2.1 Number System

2.1.1 Introduction

2.1.2 Classification of Numbers

2.1.3 Classification of Natural Numbers

2.1.4 Properties of Rational and Irrational Numbers

2.1.5 Some Important Results on Numbers

2.1.6 Tests of Divisibility

2.1.7 Modulus of a Real number

2.2 HCF and LCM

2.2.1 Factors and Multiples

2.2.2 Common factors

2.2.3 Highest Common Factor (HCF)

2.2.3.1 Prime factorization method

2.2.3.2 Division method

2.2.3.3 HCF of Decimals

2.2.3.4 HCF of vulgar fractions

2.2.4 Least Common Multiple (LCM)

2.2.4.1 Prime factorization method

2.2.4.2 Common Division Method

2.2.4.3 LCM of Decimals

2.2.4.4 LCM of Fractions

2.2.5 Relation between HCF and LCM

2.2.6 Comparison of fractions using LCM

2.3 Simplification

2.3.1 VBODMAS Rule

2.3.2 Basic arithmetic operations and symbols

2.3.3 Shortcut Methods for Basic Operations

2.3.3.1 Shortcuts in Addition

2.3.3.2 Shortcuts in Subtraction

2.3.3.3 Short-cuts in Multiplication

2.3.3.4 Shortcuts in Division

2.3.4 Some Algebraic Formulae for Simplification

2.4 Approximation

2.4.1 Addition and subtraction

2.4.2 Multiplication

2.4.3 Division

2.5 Ratio and Proportion

2.5.1 Definition and basic concepts

2.5.2 Ratio between more than two quantities

2.5.3 Compound ratio

2.5.4 Comparison of ratios

2.5.5 Proportion

2.5.6 Types of Proportion

2.5.7 Some specific cases

2.6 Average

2.6.1 Definition

2.6.2 Weighted average

2.6.3 Specific cases of average

2.6.3.1 Average speed

2.6.3.2 Average of Series of Numbers

2.6.3.3 Miscellaneous cases

2.7 Additional Topics in Arithmetic

2.7.1 Problems with Trains

2.7.1.1 Basic concepts

2.7.1.2 Specific cases

2.7.1.2.1 Train moving past a stationary point object

2.7.1.2.2 Train moving past a stationary lengthy object

2.7.1.2.3 Train moving past a moving point object

2.7.1.2.4 Train moving past a moving lengthy object

2.7.2 Unitary Method

2.7.2.1 Time and Distance

2.7.2.1.1 Basic definitions and concepts

2.7.2.1.2 Formulae for Specific Cases

2.7.2.2 Time and Work

2.7.2.2.1 Basic concepts

2.7.2.2.2 Formulae for Specific Cases

2.7.2.3 Pipes and Cisterns

2.7.2.3.1 Basic concepts

2.7.2.3.2 Basic principles

2.7.2.3.3 Specific cases and formulae

2.7.2.4 Boat and Streams

2.7.2.4.1 Basic concepts

2.7.2.4.2 Specific cases

3. Commercial Maths

3.1 Interest

3.1.1 Simple Interest

3.1.1.1 Basic definitions and concepts

3.1.1.2 Some specific cases

3.1.2 Compound Interest

3.1.2.1 Basic definitions and concepts

3.1.2.2 Compounding for different time periods and rates

3.1.2.3 Some specific cases

3.1.2.4 Cases relating Simple and Compound interest

3.2 Percentage

3.2.1 Definition

3.2.2 Conversion between Percent, fraction, and decimal

3.2.3 Specific Cases of Percentage

3.2.3.1 Percent relationship between quantities

3.2.3.2 Examinations and marks

3.2.3.3 Geometry

3.2.3.4 Depreciation

3.2.3.5 Population growth

3.2.3.6 Price and Consumption

3.3 Profit and Loss

3.3.1 Definition

3.3.2 Rule of fraction

3.3.3 Specific cases of Profit and Loss

3.3.3.1 Relation between Cost price and selling price

3.3.3.2 Using false weights

3.3.3.3 Discounts

3.3.3.4 Multiple transactions

3.4 Partnership

3.4.1 Basic concepts

3.4.2 Basic principle of profit sharing

3.4.2.1 Simple Partnership

3.4.2.3 Compound partnership

3.4.3 Specific cases

4. Series

4.1 Definition

4.2 Types of Series

4.2.1 Arithmetic Series

4.2.2 Geometric Series

4.2.3 Series of squares and cubes

4.2.4 Mixed series

4.2.5 Two-tier Arithmetic Series

4.2.6 Three-tier Arithmetic Series

4.2.7 Arithmetic-Geometric series

4.2.8 Geometric-Arithmetic series

4.2.9 Twin series

4.3 Suggested steps for solving series problems

4.4 Different types of problems on Series

4.4.1 Finding the next term

4.4.2 Finding the wrong/missing number

4.4.3 Two line number series

4.5 Some unique series

GENERAL MENTAL ABILITY

Contents

1. VERBAL TESTS

1.1 Reasoning Tests

1.1.1 Direction and Distance Test

1.1.2 Classification (Odd Man Out) Test

1.1.3 Coding-Decoding Tests

1.1.4 Series Test

1.1.5 Relationships Test

1.1.5.1 Blood Relationships Test

1.1.5.2 Coded Relationships Tests

1.1.6 Alphabet Test

1.1.7 Number, Ranking, and Time Sequence Test

1.1.8 Mathematical Operations

1.1.9 Logical Word Sequence Test

1.1.10 Cubes and Cubical Dice Tests

1.1.11 Data Arrangement Test

1.1.12 Data Sufficiency Test

1.2 Logic Tests

1.2.1 Syllogism

1.2.2 Statements Conclusions

1.2.2.1 Coded Inequality

2. NON VERBAL TESTS

2.1 Problems Based On Symmetry

2.1.1 Problems With Mirror Images

2.1.2 Problems With Water Images

2.1.3 Completion Of An Incomplete Pattern

2.1.4 Problems With Paper Folding

2.1.5 Problems With Paper Cutting

2.2 Problem-Based On Visual Ability

2.3 Classification

2.4 Series

2.5 Analogy

ENGLISH

Contents

1. Parts of Speech

1.1 Noun

1.1.1 Kinds of Noun

1.1.2 Gender

1.1.3 Number

1.1.4 Case

1.1.5 Rules

1.2 Adjective

1.2.1 Kinds of Adjectives

1.2.2 Degrees of Adjectives

1.2.3 Rules

1.3 Pronoun

1.3.1 Kinds of Pronouns

1.3.2 Rules

1.4 Verb

1.4.1 Different Kinds of Verbs

1.4.2 Subject Verb Agreement

1.5 Adverb

1.5.1 The Kinds of Adverbs

1.5.2 Comparison of Adverbs

1.5.3 Some Rules Related to the Use of Adverbs

1.6 Preposition

1.6.1 Rules

1.6.2 Short List of One-Word Prepositions

1.6.3 General Rules Regarding Certain Prepositions

1.7 Conjunction

1.7.1 Classification of Conjunctions

1.7.2 Some Important Rules

1.8 Interjection

2. Articles

2.1 Kinds of Articles

2.1.1 The Indefinite Article ‘a/an’

2.1.2 The Definite Article ‘the’

3. Tenses

3.1 Classification of Tenses

3.1.1 Present Tense

3.1.2 Past Tense

3.1.3 Future Tense

3.2 Summary of Rules with Examples in Tabular Form

4. Punctuations and Capitals

4.1 List of Important Punctuation Marks

4.2 Rules Regarding Usages

4.3 Use of Capital Letters

5. Idioms and Phrases

5.1 Idioms

5.2 Phrases

5.3 Clauses

6. Sentences

6.1 Kinds of Sentences

6.2 Subject and Predicate

7. Active and Passive Voice

7.1 Active Voice

7.2 Passive Voice

7.3 Rules for Changing the Voice

7.4 Transformation of Sentences-Voice Change

7.5 Summary of Rules with Examples in Tabular Form

8. Direct and Indirect Speech

8.1 Direct Speech

8.2 Indirect Speech

8.3 Rules for Changing Direct into Indirect Speech

9. English Vocabulary

9.1 Antonyms

9.1.1 Strategies for Antonyms

9.2 Synonyms

9.2.1 Strategies for Synonyms

10. Fill in the Blanks

10.1 Types of Fill in the Blanks

10.1.1 Logical Fill in the Blanks

10.1.2 Paired Logical Fill in the Blanks

10.1.3. Grammar Based Fill in the Blanks

10.2 Strategies for Fill in the Blanks

11. Cloze Test

11.1 Strategies for Cloze Test

12. English Usage Errors

12.1 Types of Errors

12.1.1 Error in Subject Verb Agreement

12.1.2 Error in the Tense or Form of a Verb

12.1.3 Error in Subjunctive Mood

12.1.4 Error in Comparison

12.1.5 Error in the use of Adjective for Adverb or Vice-Versa

12.1.6 Error of Parallel Construction

12.1.7 Error in Diction or Idiom

12.2 Types of Common Errors

12.2.1 Common Errors in the Use of Articles

12.2.2 Common Errors in the Use of Nouns

12.2.3 Common Errors in the Use of Pronouns

12.2.4 Common Errors in the Use of Adjectives

12.2.5 Common Errors in the Use of Verbs

12.2.6 Common Errors in the Use of Adverbs

12.2.7 Common Errors in the Use of Prepositions

12.2.8 Common Errors in the Use of Conjunction

12.2.9 Common Errors in the Use of Tenses

12.2.10 Common Errors in the Use of Modals

13. Sentence Improvement

13.1 Strategies for Sentence Improvement

14. Rearrangement of Sentences in Paragraph

14.1 Strategies for Rearrangement of Sentences in Paragraphs

15. English Comprehension

15.1 Types of Comprehension-Based Questions

15.2 Strategies for Comprehension-Based Questions

Computer Awareness

Contents

1. Introduction to Computers

1.1 Generation of Computers

1.2 Types of Computers

1.3 Basic Operation

1.4 Memory and Storage Devices

1.5 Computer Software

2. Number System and Data Representation

3. Application Software

4. System Software

4.1 BIOS (Basic Input/Output System)

4.2 Operating System

4.2.1 Windows

5. Computer Networks

5.1 Types of networks

5.2 Network Topologies

5.3 Basic hardware components

5.4 Communication

6. Internet

6.1 Basic Services

7. Computer Security

7.1 Computer Security Tools

7.2 Virus

GENERAL KNOWLEDGE

Contents

1. General Knowledge (World)

1.1 Books and Authors

1.2 World’s Great Structures (Building)

1.3 Calendars

1.4 Countries

1.4.1 Countries and their Capital

1.4.2 Countries and Their Emblems

1.4.3 Countries and Their Parliaments

1.4.4 Lines and Boundaries

1.4.5 Minerals and Producing Countries

1.4.6 Major Industrial Towns

1.4.7 Major Riverside Cities

1.4.8 Tribes and Races

1.5 Currencies

1.6 Music and Dance

1.7 Disasters

1.8 Famous Places of the World

1.9 Famous Personalities

1.10 First, Largest, Longest of World

1.10.1 ‘First’ in the World

1.10.2 Important Geographical Facts

1.11 Inventions and Discoveries

1.12 Languages

1.13 Religions

1.14 Wars

1.15 Weathers and Climate

1.16 World organization

1.16.1 United Nations Organization (UNO)

1.16.2 The Commonwealth

1.16.3 The Non–Aligned Movement (NAM)

1.16.4 South Asian Association for Regional Cooperation (SAARC)

1.16.5 European Union (EU)

1.16.6 Organisation of Petroleum Exporting Countries (OPEC)

1.16.7 North Atlantic Treaty Organisation (NATO)

1.16.8 G-7 (Now G-8)

1.16.9 Association of South-East Asian Nation (ASEAN)

1.16.10 World Trade Organisation (WTO)

1.17 Statistical Data of World

1.17.1 Census of World

1.18 Prize and Awards

2. General Knowledge (India)

2.1 Books and Authors(I)

2.1.1 Indian Authors (English)

2.2.2 Ancient Classical Authors

2.2 Dances(I)

2.2.1 Classical Dance of India

2.2.2 Folk Dance of India

2.3 Famous Places

2.4 Famous Personalities

2.5 First, Largest, Longest(I)

2.5.1 Record Makers (India)

2.5.2 India’s Superlatives Structures

Music(I)

2.6.1 Hindustani classical music

2.6.2 Carnatic music

2.7 Religions of India

2.8 Sanctuaries(I)

2.9 National Symbols (I)

2.10 Statistical Data of India

2.10.1 Census of India

2.11 Prize and Awards(I)

2.11.1 National Awards

2.11.2 Other Awards