#### Logical Reasoning

18 Topics

• Position number of the letters in the English alphabet, Questions based on - Arrangement according to the dictionary, Alpha-Numeric Sequence, Letter – Word problems, Word Formation, Solved examples for all the topics

• Coding-Decoding concept, Coding with letters of the English alphabet, Coding with numbers, mixed coding, miscellaneous types of coding, solved examples for all the topics

• Concept, Number analogy, Letter analogy, Word analogy, Solved examples for all the topics

• Word Classification, Alphabet Classification, Miscellaneous Classification, Solved examples for all the topics

• Finding out the next digit, Finding out the next letter, Number series, Alphabet series, Letter series, solved examples for all the topics

• Number sequence, Ranking sequence, Time sequence, solved examples for all the topics

• Arrangement around a closed path, Arrangement in a line or others, Solved examples for all the topics

• Blood relations table, Drawing a family tree using Symbols, Understanding a family tree, Problems based on Family tree, Problems based on Equation, Problems of the type ‘pointing to a person’ – Direct and Indirect, Solved examples for all the topics

• Direction Sense, Solved examples

• Mathematical Operations, Problem-solving by Substitution, Interchanging of signs and numbers, solved examples for all the topics

• Solved examples

• 1). Syllogism through Venn Diagrams - Types of major statements in Syllogism, Drawing Venn diagrams for the different types of statements, When Conclusions are of the type ‘Some / All’ When Conclusions are of the type ‘No’, When Conclusions are of the type ‘Possibility / Can be /? ’, Definite Statement ≠ Possibility, When Conclusions are of the type ‘Some not’, Complementary Pair, Reverse syllogism, Solved examples for all the topics
2). Syllogism Concept, Syllogism by analytical method, Complementary pair, Three - statement Syllogism, Hidden Propositions, Solved examples for all the topics

• Concept, Format of a Data Sufficiency question, Types of data sufficiency questions, Data Sufficiency Decision Tree, Techniques that help in solving Data Sufficiency questions, solved examples

• Guidelines to solve input problems, General rules - Arranging according to the dictionary, Shifting and Swapping, Arranging the words according to the increasing or decreasing order of the total number of letters in each word, Arrangement of Numbers, Solved examples for all the topics

• Concept, Short-cut method of solving questions on Deriving conclusions, solved examples

• Concept, Types of series.

#### Quantitative Aptitude

36 Topics

• Types of Numbers, Important Number formulae, Test for divisibility of numbers by - 2, 3, 4, 5, 6, 8, 9, 10, 11, Division and remainder, Methods to find a number completely divisible by another, Greatest n-digit number and least n-digit number exactly divisible by a number, Recurring Decimals and Fractions, Base system, Decimal to binary, Decimal to base 3, Decimal to base 8, Decimal to base 9, Conversion of a number in other Base system to Base 10 system, Important number series, Solved examples for all the topics

• HCF concept and formula, LCM concept and formula, Properties of HCF and LCM, Solved examples for all the topics

• Concept, Types of Fractions, Comparison of Fractions, Finding the Fraction related to balance amount, Inserting Fractions between two given Fractions, Operations on Fractions, Solved examples for all the topics

• Operation order, Algebraic formulae, Indices, Square Root and Cube root, Rationalization, Division method for finding the Square Root, Properties of a Perfect Square Number, Square Root of Simple Fraction, Square root of a Rational Decimal Fraction, Finding Cube root by factorization method, Shortcut method to find Squares of numbers, Shortcut method to find Cubes of numbers, Shortcut method to find Square root of numbers, Shortcut method to find Cube root of numbers, Power cycle and Unit digits, Method to find the last two digits of a number raised to Power, Calculating highest power of a number in a factorial, Finding number of trailing zeros at the end of a factorial or a product, Finding the number of factors of a number, Imaginary numbers, Simplification of a Decimal Fraction, Simplification of a Mixed Fraction, Solved examples for all the topics

• Concept, Formulae, Solved examples

• Concept, Formulae, Solved examples

• Ratio - Concept, Dividing a given number in the given ratio, Comparison of ratios, Proportion – Concept, Direct and Inverse Proportion, Continued proportion, Finding the relation among the quantities when the number of quantities is three, four, Solved examples for all the topics

• Meanings of a few terms, Investment and Share Formulae, Solved examples

• Definition, Chain rule - Direct proportion, Indirect proportion, Formula, Solved examples

• Definition and Basic concepts, Solved examples

• Meanings of a few terms, Basic concepts, Solved examples

• Meanings of a few terms, important formulae, Discount and Marked Price, Use of false scale for purchasing and selling an article, Solved examples for all the topics

• Meanings of a few terms, Important Formulae, Solved examples

• Compound interest – Concept, Conversion period, Formulae, Growth – Concept, Formulae, Depreciation - Concept, Formulae, Solved examples for all the topics

• Meanings of a few terms, Formulae, Solved examples

• Formulae, Average Speed, Stoppage time per hour for a train, Time taken with two different modes of transport, Time and Distance between two moving bodies, solved examples for all the topics

• Concept, Basic formula, finding speed of two trains crossing each other in both directions, solved examples

• Meanings of a few terms, important formulae, Solved examples

• Meanings of a few terms, Races – Two participants and Three participants – Concept and formulae, Problems dealing with circular track, Solved examples for all the topics

• Definition, Important points, Formulae, Incorrect clock – Formulae, Time – Mirror image, Solved examples for all the topics

• Perimeter and area of plane figures – Concept, Perimeter and area of triangles formulae, Rectangle – Concept and formulae for Perimeter and area, Square - Concept and formulae for Perimeter and area, Trapezium - Concept and formulae for Area, Parallelogram - Concept and formulae for Area, Rhombus - Concept and formulae for Perimeter and area, Circle - Concept and formulae for Circumference and area, Semi-circle - Formulae for Perimeter and area, Solved examples for all the topics

• Meanings of a few terms, Units, Cube – Concept, Formulae for Volume and Total Surface area, Cuboid - Concept, Formulae for Volume and Total Surface area, Cylinder - Concept, Formulae for Volume, Curved Surface Area and Total Surface area, Cone - Concept, Formulae for Volume and Total Surface area, Sphere - Concept, Formulae for Volume and Total Surface area, Prism - Concept, Formulae for Volume and Surface area, Solved examples for all the topics

• Meaning, Tips to solve Data interpretation questions, Explanation of different types of Data representation, solved examples

• Definition, Kinds of Permutations, Linear permutation formulae, Circular permutation formula, Combination formulae, Permutation – All letters taken together (Non-repeated and Repeated), All the Vowels come together(Non-repeated and Repeated), All the Consonants come together (Non-repeated and Repeated), All the given letters come together (Non-repeated and Repeated), All the Vowels never come together (Non-repeated and Repeated), No two Vowels come together, Vowels in Odd / Even positions, Non – Zero numbers, Number Zero, Solved examples for all the topics

• Concept, Format of a Data Sufficiency question, Types of data sufficiency questions, Data Sufficiency Decision Tree, Techniques that help in solving Data Sufficiency questions, solved examples

• Concept – Odd days, Leap year, Ordinary year, Counting of Odd Days, Day of the Week related to Odd Days, Number of Odd days in each month, Solved examples

• Explanation of a few common terms, Definition, formulae, Compound probability, Calculation of probability using Permutations and Combinations - Problems based on coins, Problems based on Dice, Problems based on Cards, Problems based on One bag – Two Colour Balls, Problems based on One bag – Three Colour Balls, Problems based on One bag – Four Colour Balls, Miscellaneous problems, Solved examples for all the topics

• Arithmetic Progression, Arithmetic Mean, Geometric progression, Geometric Mean, Harmonic progression, Harmonic Mean, Relationship between arithmetic, geometric, and harmonic means, Important formulae, Arithmetic Geometric Progression, Solved problems

• Constants and Variables, Algebraic expression, Terms, Coefficient, Algebraic expression – Types, Algebraic expression – Degree, Fundamental operations on algebraic expressions, Important algebraic identities, Factorisation of a polynomial by splitting the middle term, Solved examples

• Definition, Rules for solving an equation, Guidelines to solve problems through Linear equations, Writing Algebraic Expressions to word Problems, Simultaneous linear equations with two variables, Algebraic methods of solving Simultaneous Linear Equations in two variables, Solved examples

• Guidelines to solve Crypt Arithmetic problems, Solved examples

• Mixtures - Concept and Formulae, Removal and replacement by equal amount – Formula, Alligation – Meanings of a few terms, Representation of Alligation, Application of Alligation in Simple mixtures, Alligation Rule for a mixture of three ingredients, Solved examples

• Definition, Elements of a Set, Properties of a Set, Representation of a Set, Types of Sets, Subset, Operations on Sets – (Union, Intersection, Complement, Cartesian Product, Difference), Venn diagrams, Solving Sets problems using Venn diagrams in case of - two variables, three variables, Solved examples

• Concept, Formulae, Collinear points, Finding if three points are collinear using - Distance formula method, Slope formula method, Area of triangle method, Solved examples

• Concept, Trigonometric functions - Sine, Cosine, Tangent, Cosecant, Secant, Cotangent, Degrees and Radians, Trigonometric Identities, Angles of a quadrant, Signs of Trigonometric ratios, Related acute angle, Trigonometric function values of some standard angles, Finding the Trigonometric ratios of a given angle – (1) Related acute angle method (2) Trigonometric ratio method, Solved examples

• Definition, solving a quadratic equation by (1) Factor method (2) Formula method, Sum and Product of the Roots, Forming new equations with related roots, solved examples for all the topics

#### English Language

71 Topics

• Importance of Grammar, Introduction to Parts of Speech

• Definition of Nouns, Kinds of Nouns – Definition with Examples, Countable and Uncountable Nouns – Definition with Examples, Correct usage of Countable and Uncountable Nouns

• Singular and Plural forms, Rules for forming the plural of Nouns

• Correct usage of Countable and Uncountable Nouns, Examples of Nouns that are always used in the Singular form, Examples of Nouns that are always used in the Plural form, Rules related to Possessive case of Nouns

• Definition, Pronoun’s gender, Correct usage of the Pronoun gender, Singular and Plural Pronouns and Their correct usage, First-person, Second-person, and Third-person Pronouns, Explanation of Categories and Cases of Pronouns in detail with examples

• Correct usage of Personal Pronouns, Correct usage of Reflexive Pronouns, Correct usage of Possessive Pronouns, Correct usage of Interrogative Pronouns, Correct usage of Relative Pronouns, Correct usage of Demonstrative Pronouns, Correct usage of Indefinite Pronouns

• Definition, Object of the Verb, Types of Verbs – Explanation of Action, Linking and Helping verbs with examples, Transitive and Intransitive Verbs, Subjective and Objective Complements of a Verb

• Definition with examples

• Explanation of Verb Forms – Present, Present Participle, Past and Past Participle, Explanation and usage of Verb Tenses – Simple Present, Present Continuous, Present Perfect, Present Perfect Continuous, Simple Past, Past Continuous, Past Perfect, Past Perfect Continuous, Simple Future, Future Continuous, Future Perfect, Future Perfect Continuous

• Rules with examples

• Rules with examples, Pronoun Subject-Verb agreement rules with examples

• Introduction to Finite and Non-Finite forms of Verbs, Infinitives – Noun Infinitive, Qualifying Infinitive, Bare Infinitive, Split Infinitive, Forms of Infinitives, Participles – Present, Past and Perfect, Errors in the use of Participles, Gerunds – Forms of Gerund, Correct usage of Gerunds

• Definition, Kinds of Adjectives, Comparative Adjectives – Positive, Comparative and Superlative degrees, Rules for forming the Comparative or the Superlative Degree, Absolute Adjectives

• Rules, Correct use of some Adjectives

• Types of Articles, Correct use of A, An and The, Omission of the Article, Repetition of the Article, Position of the Article

• Definition, Common Prepositions, Kinds of relations indicated by Prepositions – Place, Time, Movement and Direction

• Position of Prepositions, Rules for correct usage of Propositions, Correct use of some Prepositions

• Definition, Forms of Conjunctions, Coordinating Conjunctions, Correlative Conjunctions, Subordinating Conjunctions

• Rules for correct usage of Conjunctions

• Definition, A few examples of Interjections

• Explanation and examples for the different kinds of Sentences

• Subject and Predicate definition, Identifying the Subject, Tricky Subjects, Enlargement of the Subject, Identifying the Predicate, Verb and its extension, Complements – Direct Object, Indirect Object, Predicate Noun, Predicate Adjective

• Definition, Kinds of Phrases – Noun Phrase, Prepositional Phrase, Adjective Phrase, Adverb Phrase, Verbal Phrase, Appositive Phrases

• Definition, Independent Clause, Subordinate Clause – Noun Clause, Adjective Clause, Adverb Clause

• Simple sentence, Compound sentence, Complex sentence, Compound-Complex sentence, Creating the different types of sentences

• Different types of Punctuation marks, Correct usage of – Full-stop, Question mark, Exclamation point

• Commas, Basic rules about Comma use, Colons, Rules regarding Colons use, Semi-colons, Rules regarding Semi-colons use

• Apostrophes, Contractions – Pronoun contractions, Verb contractions, Using Apostrophes in Possessive Nouns, Hyphens and Dashes usage

• Quotation marks, Rules for usage of Quotation marks, Parentheses, Brackets, Italics, and Underlining

• Overview of Vocabulary skills and terms – Prefixes, Suffixes, Roots, Syllables, Synonyms, Antonyms, Denotation and Connotation, Homonyms

• Spelling rules – Vowels – ie and ei rule, ai,ui and ea combinations, ai or ia, Spelling rules – Consonants – Silent consonants, doubling consonants, Spelling rules for C and G, Homonyms, Rules on - when to drop the final -e, when to keep the final -y, Plurals – when to use -s or -es to form Plurals, Plurals for words that end in -o, Plurals for words that end in -f, Spelling rules regarding Prefixes, Hyphens, Apostrophes and Abbreviations

• Definition, Different types of Prefixes, Vocabulary list – Prefixes and meanings

• Definition, Different types of Suffixes, Vocabulary list – Suffixes and meanings

• Definition, Different Roots and meanings

• Roots from other languages and their meaning

• Meanings of Foreign language terms used in English

• Meanings of some words frequently used in business

• Meanings of some Technology terms

• Meanings of some commonly used Legal terms

• Meanings of some literary terms used in Language and Literature

• Meanings of a few short, but important, words

• Meanings of a few Adjectives

• Definition, Meanings of a few commonly used Acronyms

• Meanings of a few tough words that are used in standardized tests

• Meanings of some more words that are com¬monly found on standardized tests

• Meanings of a few terms commonly used in philosophy, politics, and religion

• Importance of learning good writing skills

• General rules of Capitalization, Capitalization of Pronouns, Capitalization of Adjectives, Guidelines to when not to capitalize

• Rules for using Periods, Question marks, Exclamation points

• Difference between a complete sentence and a sentence fragment, Faulty sentences – Run-on sentences, Comma splices

• Using Commas in – Introductory words, Phrases and Clauses, Commas with Appositives, Commas and Non-restrictive clauses

• Using Commas with Independent clauses - joined by a Conjunction, not joined by a Conjunction, Commas to separate items in a Series, Commas to separate items in a date or an address, Commas to separate Adjectives, Commas to separate other elements of a sentence

• Rules for correct usage of Semi-colons and Colons

• Rules for correct usage of Apostrophes and Dashes

• Using Quotation marks – indirect quotations, in dialogue writing, Other uses of Quotation marks, Rules regarding Punctuating within Quotation marks

• Rules for correct usage of the Designer punctuations – Hyphens, Parentheses, Brackets, Ellipses, Diagonals, and Numbers

• Principal parts of Verbs, Consistent Verb tense, Present, Past and Future Tense Forms, Switching Verb Tenses, Subjunctive Mood

• Guidelines on when to use Active and Passive Voice, How to use Verbs for better sentence construction

• Agreement between Noun Subjects and Verbs, Agreement between Pronoun Subjects and Verbs, Compound Subjects and Verb agreement, Subject-Verb agreement in Questions and Sentences beginning with there or here, Subject-Verb agreement in Inverted sentences

• Pronouns and Antecedents, Pronoun Cases - Nominative Case Pronouns, Objective Case Pronouns, Possessive Case Pronouns, Problems with Pronoun Case, Noun-Pronoun pairs, Pronouns and incomplete sentence constructions, Improper Reflexive Pronouns

• Correct usage of a few problem Verbs and Pronouns

• Correct usage of Adjectives and Adverbs, Comparative form of the modifiers, Double Comparisons, Double Negatives, Misplaced Modifiers, Dangling Modifiers

• Meanings and correct usage of a few easily confused words

• Some commonly used Idioms and their meaning

• Informal and Formal letters, Format of an Informal letter, Format of a Formal letter, Few examples of Formal letters

• Essential features of a good précis, Important points while making a précis

• Concept, Vocabulary knowledge, Text comprehension, Comprehension strategies, Understanding of Passage Structure, Answering questions

• Paragraph structure, Introduction, Body, Conclusion, Types of paragraph writing – Expository, Narrative, Descriptive, How to write a paragraph

• Types of Essays, Structure of an essay, Transitional hooks, How to write an essay