General Aptitude & Advanced Mathematics

Master Mathematics for ALL Competitive Exams in One Comprehensive Program

One Training for ALL Major Exams

Comprehensive coverage for National & International Competitive Examinations

Comprehensive Course Curriculum

From fundamentals to advanced concepts - Everything you need to excel

Quantitative Aptitude

6 major sections • 47 concepts

Number System

•Natural, Whole, Integers, Rational & Irrational Numbers
•Prime Numbers & Divisibility Rules
•HCF & LCM (Euclidean Algorithm)
•Fundamental Theorem of Arithmetic
•Base Conversion & Binary Operations
•Modular Arithmetic
•Perfect Squares, Cubes & Their Properties

Algebra

•Linear Equations & Inequalities
•Quadratic Equations (Roots, Nature, Relationships)
•Polynomial Equations & Remainder Theorem
•Progressions (AP, GP, HP, AGP)
•Matrices & Determinants
•Logarithms & Exponentials
•Complex Numbers & De Moivre's Theorem
•Binomial Theorem & Expansions

Arithmetic

•Percentage Calculations & Applications
•Profit, Loss & Discount
•Simple & Compound Interest
•Ratio & Proportion
•Partnership (Simple & Compound)
•Mixtures & Alligations
•Time & Work Problems
•Time, Speed & Distance
•Boats & Streams
•Trains & Relative Speed

Geometry

•Lines, Angles & Parallel Lines
•Triangles (Properties, Congruence, Similarity)
•Pythagorean Theorem & Applications
•Circles (Chords, Tangents, Secants)
•Quadrilaterals (Properties & Area)
•Polygons (Regular & Irregular)
•Coordinate Geometry (2D & 3D)
•Mensuration (2D & 3D Shapes)

Trigonometry

•Trigonometric Ratios & Identities
•Heights & Distances
•Inverse Trigonometric Functions
•Trigonometric Equations
•Allied Angles & Compound Angles
•Multiple & Sub-multiple Angles
•Sum & Product Formulas

Calculus (Advanced)

•Limits & Continuity
•Differentiation (All Methods)
•Applications of Derivatives
•Integration (Definite & Indefinite)
•Area Under Curves
•Differential Equations
•Maxima & Minima Problems

Logical Reasoning

3 major sections • 25 concepts

Verbal Reasoning

•Analogies & Classifications
•Series Completion (Letter, Number, Mixed)
•Coding-Decoding (All Types)
•Blood Relations
•Direction Sense & Distance
•Ranking & Ordering
•Seating Arrangements (Linear, Circular)
•Syllogisms & Venn Diagrams
•Statement & Assumptions/Conclusions
•Cause & Effect Reasoning

Non-Verbal Reasoning

•Pattern Recognition
•Series (Figure, Analogy)
•Mirror & Water Images
•Paper Folding & Cutting
•Embedded Figures
•Completion of Figures
•Cubes & Dice
•3D Visualization

Analytical Reasoning

•Puzzle Solving (Grid, Matrix)
•Logical Deductions
•Critical Path Analysis
•Network Diagrams
•Decision Making
•Problem-solving Strategies
•Data Sufficiency

Data Interpretation

3 major sections • 21 concepts

Data Analysis

•Tables & Data Tables
•Bar Graphs (Simple, Multiple, Stacked)
•Line Graphs & Trend Analysis
•Pie Charts & Percentage Distribution
•Scatter Plots & Correlation
•Mixed Charts & Combinations
•Data Comparison & Inference
•Missing Data Interpretation

Statistical Methods

•Mean, Median, Mode
•Range & Quartiles
•Standard Deviation & Variance
•Probability Basics
•Permutations & Combinations
•Expected Value & Outcomes
•Conditional Probability
•Bayes' Theorem

Advanced DI

•Caselets & Paragraphs
•Data Sufficiency Problems
•Multiple Source Integration
•Speed Calculation Techniques
•Approximation Methods

Mathematical Reasoning

3 major sections • 16 concepts

Set Theory

•Set Operations (Union, Intersection, Complement)
•Venn Diagrams & Applications
•De Morgan's Laws
•Power Sets & Cardinality
•Relations & Functions

Mathematical Logic

•Statements & Propositions
•Logical Connectives (AND, OR, NOT, IF-THEN)
•Truth Tables
•Tautologies & Contradictions
•Logical Equivalence
•Predicates & Quantifiers

Proof Techniques

•Direct Proof
•Proof by Contradiction
•Mathematical Induction
•Proof by Contrapositive
•Counter Examples

Advanced Mathematics

3 major sections • 16 concepts

Linear Algebra

•Vector Spaces & Subspaces
•Linear Independence
•Basis & Dimension
•Linear Transformations
•Eigenvalues & Eigenvectors
•Diagonalization

Graph Theory

•Graph Representations
•Trees & Spanning Trees
•Shortest Path Algorithms
•Network Flow
•Graph Coloring

Discrete Mathematics

•Combinatorics
•Recurrence Relations
•Generating Functions
•Boolean Algebra
•Propositional Logic

Why Choose Our Program?

Comprehensive training with proven results

What You'll Achieve

Transform your mathematical abilities and exam performance

Master quantitative aptitude for all competitive exams

Develop logical reasoning and analytical thinking skills

Excel in data interpretation and analysis

Learn time-saving techniques and shortcuts

Build problem-solving speed and accuracy

Understand exam patterns and question types

Practice with mock tests and previous year papers

Gain confidence for any mathematics-based exam

5000+

Practice Problems

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Video Lectures

50+

Mock Tests

95%

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