# Quantitative Aptitude

**Arithmetic**

**Percentages:** Basics, Conversion of Percentages into Fractions and Vice-versa, 100-base method, change of base method, successive chain method

**Profit/ Loss:** Basic Concepts, General formulae, problems on cost price selling price marked price, discount, dishonest trader and faulty balance

**Ratio, Proportion and Variation:** Different types of Ratios, their examples, Application in Real Life Problems, different Types of Proportions, Rules of proportion, and Rules of Variations with examples

**Averages:** Concept of Simple and weighted Average, Different Rules of finding Average with examples, Application of Average using Series

**Alligation & Mixture:** Rules of Alligations, Simple and Compound Mixture Problems, Replacement problems, Alligation in more than 2 mixtures, Application of Alligation in Arithmetic

**Time & Work:** Unitary method, basic concepts of Time & Work, alternate days work method, efficiency method, work and wages, Pipes and Cisterns

**Time & Distance:** Concept of Time, Speed & Distance, and questions based on general concepts, problems on Relative speed, Average speed, Application of Relative Speed, concepts of Circular Motion, problems on circular motion, different types of problems related to train, Problems on Boat and stream, Races

**Commercial Math:** Partnership, Simple Interest and Compound Interest, stocks and Shares

**Geometry and Mensuration**

**Geometry**

Different types of Angles and Application Problems, Parallel Lines, Proportionality Theorem, Different Types of Triangles, Theorem based on Triangles and Application Problems, Area of Triangle in different form, Concurrency Rules, Concepts of Similar Triangles, Angle Bisector Properties, Median Properties, Special Techniques to solve CAT Type problems, Polygons-regular and irregular polygons, concave and convex polygon, general formulae for Regular Polygon, Basic properties of Circles, Tangent Properties, chord properties, Different Theorems and applications **Mensuration**

Units of Measurement, Perimeter of 2-D diagram and Application, Area of 2-D diagram and application, Volume and surface area of 3-D diagram and application

**Co- ordinate Geometry, Trigonometry**

Reflection and rotation properties, Distance between two points, sectional ratio, Area of Triangle and Collinearity, Slope of a line, Equation of line in different forms, Area bounded by lines. Trigonometrical Ratios, Relation among T- Ratios, Height and Distance

**Algebra**

Indices & its properties and Application based problems, Surds, Properties of Surds, Addition, Multiplication and Division Rules, Finding out square root of surds, Rules of Logarithm, Application Based problems, Important Identities and their applications, Linear Equation, Quadratic Equation, Theory of Equation, Problems on theory of Equation, Inequations and its properties, Theory of Quadratic Functions, Maxima and Minima, finding out Maxima and Minima using Calculus, using Perfect Square Method and application based questions, Different types of Series and Sequences, Problems based on AP, GP, HP & Application, Special series and Applications, Binomial Theorem

**Number System**

Classification of numbers and their properties, problems based on Basic Properties, Special Numbers and their Properties, Divisibility Rule & Application Based Problems, Conversion of Recurring Decimal into Vulgar Fraction, HCF, LCM & its Application, Successive Division, Cyclicity, Last Digits, Last two digits, last three digits, Finding out Remainder by different Theorem, Advanced Theorems of getting Remainders, Exponent Theorem, Finding out the Power of Prime in n!, number of Zeros at the end of a product of numbers, Finding out the number of factors and Sum of Factors and Applications, Base System (Conversion of numbers from one system to another system, Addition/ Subtraction/Multiplication in Different Base System and Application)

**Higher Mathematics**

**Set theory, Clocks:** Concepts of Set, Different Types of sets, Venn Diagram, Application Based Problems, Basic of Clocks, Angle between Hands of Clock, Application Based Problems **Functions:** Fundamental of Functions, Different types of Functions, Application Based Problems and Pattern based Functions, Recursive Functions, Binary Operation, Concept of Mini-Max and Maxi-Min, Area bounded by graphs of Real Functions, Concept of Symmetry, graphs of Different Functions, Shifting and Scaling of Functions **Permutation:** Fundamental Principles of Counting and Application, Problem based on Digits and Alphabets, Concept of Permutation and Application, Circular Permutation **Combination:** Difference between Permutation and Combination, Concept of Combination and Application, Division Rule, Application of Combination in Geometry and Number System **Probability:** Fundamental laws of Probability, Compound Probability, Probability of Independent Events, Conditional probability and its Rules, Binomial Theorem and Application, Bayes’ Theorem

# Data Interpretation and Data Sufficiency

##### Calculative Graphs

Basic Concepts (averages, ratio, percentage, increase/decrease vs. percentage increase/decrease,), Types of graphs (Line graph, Tabular graph, Pie-chart, Bar graph, Combination graph), techniques to solve each graph##### Innovative Graphs

Types of graphs (Band, Area, Triangular, Travel, Geometrical, Venn Diagrams), Interpreting and understanding such graphs, methods to solve them.##### Data Sufficiency

Pattern of questions, Structure of a Data Sufficiency problem, Methods to solve a Data Sufficiency problem, The Nine traps of Data Sufficiency, Logic based and concept based questions**Verbal Ability**

**Grammar:** Parts of Speech (Nouns, Pronouns, Adjectives), Verb; Subject Verb Agreement Parallelism; Tenses; Modifiers, Conjunctions; Articles; Prepositions

**Vocabulary:** Word Usage; Intro to Analogy, Analogy; Synonyms; Antonyms, Usage; Homonyms; Analogy; Dictionary Definition

**Jumble Sentence:** Basic techniques; 4, 5 & 6 sentence types

**Critical Reasoning:** Basic concepts; practice

**Fill in the Blanks:** Single blank; double blanks; paragraph blanks ; incomplete sentences

**Fact, Inference, Judgment:** Basic concepts; Practice

**Verbal Ability:** Grammar; FIB (2 blanks)

**Concluding Statements:** Basic Techniques; Practice

**Reading Comprehension:** Introduction. Rational behind CAT Reading Comprehension questions and structure and correlation to real life scenario.

**Reading Comprehension Summary:** Train students on the fundamentals and the importance of summary/central idea from management perspective

**Reading Comprehension Tone & Style:** Train students on different tones and styles in the Reading Comprehension

**Reading Comprehension Speed Reading:** How to read quickly and still retain comprehension of the material

**Reading Comprehension Type – 1:** Train the students on different types of questions expected in CAT RC and understand them from the author’s perspective

**Reading Comprehension Type – 2:** Train students specifically on inferential and application based questions based on difficult abstract passages

**Reading Comprehension Techniques:** Train students on elimination techniques in identifying the correct options

**Reading Comprehension Strategy:** Time management, DOT Analysis and online strategy

**Logical Reasoning**

**Deductive Reasoning: **General form of a Deductive Reasoning problem, types of Deductive Reasoning, basic skills of reasoning, methods and strategies to tackle the different types.

**Data Arrangement: **Anatomy of Data Arrangement Problems (premise, rules and questions), Diagramming Techniques & Symbols (Floaters, Brackets, Flip-flopping and Snap-shots), Types of problems (Spatial, Chronologic al, Categorization & Ranking)

**Tables & Charts: **Introduction to Tables & Charts, Types of tables (Simple and Multiple), Typical examples

**Family Tree: **Introduction, Assumptions underlying, typical relationship types, Methods to solve such questions (backtracking), diagramming techniques and symbols

**Network Diagrams: **Basic Networking, Types of network (flowchart, path & flow), methods of drawing network paths

**Sports and Games: **Types of problems (Card games, Performance Comparisons, Ranking and positioning, pools), methods of solving, basic rules to be considered

**Caselets: **Introduction, Application of basic concepts, Methods to tackle caselets, Forming the structure

**Puzzles and Teasers: **Introduction, Categories of Ordinal Puzzles and Teaser problems (The Simple Line and Multiple Line), Strategy for solving puzzles using the process of elimination

**Cross Concepts: **Introduction, Types of cross concept problems (Pattern Recognition, Algebraic Systems, Arithmetic concepts like Alligation, Set Theory, Venn diagrams)