Comprehensive Study Guide & Exam Revision Overview: General Quant Mastery Syllabus: Basic to Advanced Aptitude Tracker
Welcome to the official General Quant Mastery Syllabus: Basic to Advanced Aptitude Tracker study resource on SJMaths, specially curated for Maths Mastery & Quantitative Aptitude candidates and aspirants. This page features high-yielding study material, core concepts, essential formulas, shortcut strategies, and topic-wise revision notes structured to maximize your exam performance.
Key Features & Learning Modules:
- Step-by-Step Problem Solving: Clear conceptual breakdowns and model solutions for foundational to advanced level questions.
- Formulas & Shortcut Rules: Instant access to important mathematical formulas, identities, theorems, and time-saving calculation tricks.
- Interactive Practice & Revision: High-probability exam questions designed to strengthen problem-solving speed and accuracy.
Tip: Bookmark this page for daily revision and practice tests. Use SJMaths' interactive modules to track your preparation progress.
General Quant Mastery Syllabus
Comprehensive interactive micro-topic checklist for competitive exam quant preparation. Start from number sense and progress toward advanced mixed quant systematically.
Begin here. These topics build calculation discipline and number familiarity for every exam.
Number Sense
Number Types & Properties
- Natural numbers
- Whole numbers
- Integers
- Prime, composite, even, and odd numbers
Factors, Multiples & Patterns
- Factors and multiples
- Divisibility rules
- Prime factorization
- HCF and LCM
- Remainders
- Unit digit / last digit patterns
- Number series, missing number series, and wrong number series
Fractions & Decimals
Fractions
- Types of fractions
- Equivalent fractions
- Comparison of fractions
- Fraction operations
Decimals
- Decimal notation
- Terminating and recurring decimals
- Conversion between fractions and decimals
- Decimal operations
BODMAS & Simplification
Operations
- Order of operations
- Brackets
- Mixed operations
- Approximation
- Estimation
Roots & Surds
- Square roots and cube roots
- Surds basics
Ratio, Proportion & Variation
Core Ratio Logic
- Ratio
- Proportion
- Direct variation
- Inverse variation
Applications
- Partnership
- Mixtures and alligation
- Scaling and comparison
Arithmetic is the highest-yield zone for SSC, banking, railway, placements, RO/ARO, and UPSC CSAT.
Percentages & Averages
Percentages
- Percentage basics
- Fraction-decimal-percentage conversion
- Percentage increase and decrease
- Successive percentage change
- Percent comparison
- Percentage-based applications
Averages
- Arithmetic mean
- Weighted average
- Combined average
- Median and mode basics
- Average speed
- Average in mixtures and data
- Problems based on ages
Commercial Arithmetic
Profit, Loss & Discount
- Cost price, selling price, marked price
- Profit and loss
- Discount
- Successive discount
- Gain/loss percentage
- Basic commercial arithmetic
Interest
- Interest concept
- Simple interest
- Compound interest
- Rate, time, principal
- Difference between SI and CI
- Installment-type basics
Time & Work
Work Rate
- Work-rate concept
- Efficiency
- Combined work
- Pipes and cisterns
- Wages and work sharing
- Time-based mixtures in work problems
Time, Speed & Distance
Motion Problems
- Speed, distance, time
- Relative speed
- Average speed
- Trains
- Boats and streams
- Races
- Circular track basics
Learn shape reasoning first, then move into mensuration, algebra, coordinate geometry, and trigonometry.
Geometry Basics
Lines & Angles
- Point, line, ray, angle
- Types of angles
- Parallel lines
- Transversals
- Basic geometric properties
Triangles & Polygons
Triangles
- Triangle properties
- Congruence
- Similarity
- Pythagoras theorem
- Area of triangles
- Angle relations in triangles
- Triangle centres: centroid, incentre, circumcentre, and orthocentre
Quadrilaterals & Polygons
- Squares, rectangles, parallelograms, rhombus, trapezium
- Properties of quadrilaterals
- Interior and exterior angles
- Regular polygons
- Basic theorem use
Circles & Mensuration
Circles
- Radius, diameter, chord, arc, sector
- Tangent and secant
- Common tangents to two or more circles
- Central and inscribed angles
- Circle theorems
- Area and circumference
Mensuration
- Perimeter
- Area of plane figures
- Surface area
- Volume
- Cube, cuboid, cylinder, cone, sphere, hemisphere
- Right prism and rectangular parallelepiped
- Regular right pyramid with triangular or square base
- Composite figures
Algebra, Coordinate Geometry & Trigonometry
Algebra Fundamentals
- Variables and expressions
- Identities
- Factorization
- Linear equations
- Quadratic equations
- Algebraic fractions
- Inequalities
- Graphs of linear equations
Sequences & Series
- Number patterns
- Arithmetic progression
- Geometric progression basics
- Series sums
- Missing term patterns
- Recurrence-style reasoning
Coordinate Geometry & Trigonometry
- Cartesian plane and coordinates of points
- Distance, midpoint, section formula, slope, graph interpretation
- Trigonometric ratios, standard angles, trigonometric values
- Identities, complementary angles, heights and distances
Use this stage after the core arithmetic and geometry layers are stable. These topics convert knowledge into exam performance.
Sets, P&C & Probability
Sets & Venn Diagrams
- Sets and subsets
- Union, intersection, complement
- Two-set and three-set Venn diagrams
- Counting with sets
- Basic application in DI/reasoning
Permutation, Combination & Probability
- Fundamental counting principle
- Permutations
- Combinations
- Arrangements, selection problems, restriction-based counting
- Basic probability, sample space, events, complementary and combined events
Statistics & Data Handling
Data Handling
- Tables
- Bar graphs
- Pie charts
- Line graphs
- Histograms basics
- Frequency polygon
- Mean, median, mode from data
- Data comparison and inference
Data Interpretation & Sufficiency
Data Interpretation
- Table-based DI
- Bar chart DI
- Pie chart DI
- Line graph DI
- Mixed chart DI
- Caselets
- Missing data / percentage-based DI
- Quantity comparison and quantity I/II questions
Data Sufficiency
- Statement sufficiency
- Quant sufficiency
- Elimination logic
- Multi-statement analysis
Speed Math & Advanced Mixed Quant
Speed Math
- Vedic-style calculation shortcuts
- Multiplication tricks
- Division shortcuts
- Percentage shortcuts
- Approximation speed
- Fraction-to-percent mental conversion
- Square/cube quick methods
Advanced Mixed Quant
- Higher-level arithmetic combinations
- Multi-step word problems
- Algebra + arithmetic mixed problems
- Geometry + mensuration mixed problems
- DI with calculation pressure
- Exam-level trap questions