Course module
Analytical and Mathematical CapabilityRRB Section Controller
- Lessons
- 493
- Duration
- 74 hr 17 min
- PYQs
- 0
- Practice
- 7181
Syllabus index
Lessons in this module
Ratio and Proportion (Ratios)
Basic Concepts & Properties of Ratio
Types of Ratio
Direct, Inverse & Joint Variation
Basic Concepts & Properties of Proportion
Division of Quantity in a Given Ratio
- Short Trick to Divide a Given Number X in ratio of M NDrm Video
- [Notes] Short Trick to Divide a Given Number X in ratio of M NPdf
- Short Trick to bring given set of numbers in proportionDrm Video
- [Notes] Short Trick to bring given set of numbers in proportionPdf
- Short Trick to convert given ratio into required ratioDrm Video
- [Notes] Short Trick to convert given ratio into required ratioPdf
- Finding ratio of 2 numbers from their sum & differenceDrm Video
- [Notes] Finding ratio of 2 numbers from their sum & differencePdf
Successive & Combined Ratio Problems
- Short Trick to Find A C when A B & B C is givenDrm Video
- [Notes] Short Trick to Find A C when A B & B C is givenPdf
- Short Trick to Find A B C given some mA = nB = pCDrm Video
- [Notes] Short Trick to Find A B C given some mA = nB = pCPdf
- Short Trick to find (mX + nY) (pX + qY) given x yDrm Video
- [Notes] Short Trick to find (mX + nY) (pX + qY) given x yPdf
- Short Trick to Find bigger ratio out of given 2 ratiosDrm Video
- [Notes] Short Trick to Find bigger ratio out of given 2 ratiosPdf
Data Interpretation
Basic Concepts & Terminologies
- Demo: Pre-requisites & Basic ConceptsStandard Video
- [Notes] Pre-requisites & Basic ConceptsPdf
- Demo: Types of GraphsStandard Video
- [Notes] Types of GraphsPdf
- Demo: Tricks Ratio to Percentage TableStandard Video
- [Notes] Tricks Ratio to Percentage TablePdf
- Ratio - Percentage ConversionDrm Video
- [Notes] Ratio - Percentage ConversionPdf
Table Graph
Pie Chart (Pie Graph)
Number System
Factors, Multiples & Prime Factorization
- Demo: Short Tricks to Find Number & Product of FactorsStandard Video
- [Notes] Short Tricks to Find Number & Product of FactorsPdf
- Demo: Tricky Important Questions on Finding Product of FactorsStandard Video
- [Notes] Tricky Important Questions on Finding Product of FactorsPdf
- Demo: Short Tricks to Find Number of Odd & Even FactorsStandard Video
- [Notes] Short Tricks to Find Number of Odd & Even FactorsPdf
- Tricks To Find Sum of Factors & Sum of Odd & Even FactorsDrm Video
- [Notes] Tricks To Find Sum of Factors & Sum of Odd & Even FactorsPdf
- Finding those Factors of 'P' which are divisible by 'Q'Drm Video
- [Notes] Finding those Factors of 'P' which are divisible by 'Q'Pdf
- 86-7776 NVS 2019Drm Video
Concept of Remainders
- Concept of Reminders (Part 1)Drm Video
- [Notes] Concept of Reminders (Part 1)Pdf
- Concept of Reminders (Part 2)Drm Video
- [Notes] Concept of Reminders (Part 2)Pdf
- Concept of Reminders (Part 3)Drm Video
- [Notes] Concept of Reminders (Part 3)Pdf
- Concept of Reminders (Part 4)Drm Video
- [Notes] Concept of Reminders (Part 4)Pdf
- Short Trick for Reminders on Successive DivisionsDrm Video
- [Notes] Short Trick for Reminders on Successive DivisionsPdf
Unit Digit & Last Digit Concepts
Perfect Squares, Perfect Cubes, Power, Square Root and Patterns
- Interesting Facts About Perfect Squares & Perfect CubesDrm Video
- [Notes] Interesting Facts About Perfect Squares & Perfect CubesPdf
- Tricks to Find Factors that are Perfect Squares & CubesDrm Video
- [Notes] Tricks to Find Factors that are Perfect Squares & CubesPdf
- Question - Find Factors that are Perfect Squares & CubesDrm Video
- [Notes] Question - Find Factors that are Perfect Squares & CubesPdf
- Number Systems - HOT Questions (1)Drm Video
- [Notes] Number Systems - HOT Questions (1)Pdf
- Number Systems - HOT Questions (2)Drm Video
- [Notes] Number Systems - HOT Questions (2)Pdf
HCF LCM
Finding HCF
- Demo: Tricks for HCF by Inspection, HCF by Prime FactorizationStandard Video
- [Notes] Tricks for HCF by Inspection, HCF by Prime FactorizationPdf
- Demo: Trick to find HCF by Long Division MethodStandard Video
- [Notes] Trick to find HCF by Long Division MethodPdf
- Demo: Short Trick to find HCF by minimum difference methodStandard Video
- [Notes] Short Trick to find HCF by minimum difference methodPdf
- Short Trick to find HCF by using smallest elementDrm Video
- [Notes] Short Trick to find HCF by using smallest elementPdf
- An Important Property of HCF & LCM + Practice QuestionDrm Video
- [Notes] An Important Property of HCF & LCM + Practice QuestionPdf
- How to find HCF Quickly with the help of given optionsDrm Video
- [Notes] How to find HCF Quickly with the help of given optionsPdf
- Short Trick to find HCF of Big NumbersDrm Video
- [Notes] Short Trick to find HCF of Big NumbersPdf
- Short Trick to find HCF of more than 2 numbersDrm Video
- [Notes] Short Trick to find HCF of more than 2 numbersPdf
- Short Trick to find HCF using Co-Prime Numbers ConceptDrm Video
- [Notes] Short Trick to find HCF using Co-Prime Numbers ConceptPdf
HCF and LCM of Fractions and Decimals
- Short Tricks to calculate HCF of Decimals & FractionsDrm Video
- [Notes] Short Tricks to calculate HCF of Decimals & FractionsPdf
- Short Trick to find LCM of decimal numbersDrm Video
- [Notes] Short Trick to find LCM of decimal numbersPdf
- Short Trick to find LCM & HCF of fractionsDrm Video
- [Notes] Short Trick to find LCM & HCF of fractionsPdf
Basic Concepts: Factors, Multiples, Prime & Composite Numbers
- Part 1 - Short Tricks to check Divisibility by 7 & 13Drm Video
- [Notes] Part 1 - Short Tricks to check Divisibility by 7 & 13Pdf
- Part 2 - Short Tricks to check Divisibility by 7 & 13Drm Video
- [Notes] Part 2 - Short Tricks to check Divisibility by 7 & 13Pdf
- Another Short Trick to find HCF of Big NumbersDrm Video
- [Notes] Another Short Trick to find HCF of Big NumbersPdf
Finding LCM
- What is a multiple What is LCM Find LCM by inspectionDrm Video
- [Notes] What is a multiple What is LCM Find LCM by inspectionPdf
- Short Trick to Find LCM in just 5 secondsDrm Video
- [Notes] Short Trick to Find LCM in just 5 secondsPdf
- Short Trick to find LCM using Division methodDrm Video
- [Notes] Short Trick to find LCM using Division methodPdf
- Short Trick to find LCM using Prime FactorizationDrm Video
- [Notes] Short Trick to find LCM using Prime FactorizationPdf
- Short Trick to find LCM using Co-Prime Numbers ConceptDrm Video
- [Notes] Short Trick to find LCM using Co-Prime Numbers ConceptPdf
- Short Trick to find LCM of more than 2 numbersDrm Video
- [Notes] Short Trick to find LCM of more than 2 numbersPdf
- Short Trick to find LCM of big numbersDrm Video
- [Notes] Short Trick to find LCM of big numbersPdf
- Short Trick to find LCM of 2 numbers when HCF is givenDrm Video
- [Notes] Short Trick to find LCM of 2 numbers when HCF is givenPdf
Sequence and Series (Series)
Basic Concepts & Terminologies
Arithmetic Progression (AP)
Arithmetic Mean & Geometric Mean (AM-GM)
Multiple Topics
- Some Important Questions on Sequence & SeriesDrm Video
- [Notes] Some Important Questions on Sequence & SeriesPdf
- Effect of Addition, Subtraction, Multiplication, DivisionDrm Video
- [Notes] Effect of Addition, Subtraction, Multiplication, DivisionPdf
- Quick Revision and Practice QuestionsDrm Video
- [Notes] Quick Revision and Practice QuestionsPdf
Speed Time and Distance
Basics, Prerequisites and Unit Conversions
- Demo: What is covered in this courseStandard Video
- [Notes] What is covered in this coursePdf
- Demo: Pre-requisites required for Speed, Time & DistanceStandard Video
- [Notes] Pre-requisites required for Speed, Time & DistancePdf
- Demo: Definitions, Basic Formulas, Units and Inter-conversionsStandard Video
- [Notes] Definitions, Basic Formulas, Units and Inter-conversionsPdf
- Trick to convert kilometer per hour to meter per secondDrm Video
- [Notes] Trick to convert kilometer per hour to meter per secondPdf
Proportionality and Constant Variable Concepts
Average Speed
- Concept & Short Tricks to calculate AVERAGE SPEED (1)Drm Video
- [Notes] Concept & Short Tricks to calculate AVERAGE SPEED (1)Pdf
- Concept & Short Tricks to calculate AVERAGE SPEED (2)Drm Video
- [Notes] Concept & Short Tricks to calculate AVERAGE SPEED (2)Pdf
- Concept & Short Tricks to calculate AVERAGE SPEED (3)Drm Video
- [Notes] Concept & Short Tricks to calculate AVERAGE SPEED (3)Pdf
- Average - Short Tricks to Find Average SpeedDrm Video
- [Notes] Average - Short Tricks to Find Average SpeedPdf
- Important Practice Questions on AVERAGE SPEED (1)Drm Video
- [Notes] Important Practice Questions on AVERAGE SPEED (1)Pdf
- Important Practice Questions on AVERAGE SPEED (2)Drm Video
- [Notes] Important Practice Questions on AVERAGE SPEED (2)Pdf
- Important Practice Questions on AVERAGE SPEED (3)Drm Video
- [Notes] Important Practice Questions on AVERAGE SPEED (3)Pdf
Train Problems
- Concept of Relative Speed Required for Problem on TrainsDrm Video
- [Notes] Concept of Relative Speed Required for Problem on TrainsPdf
- Case 1_ Train Crossing a stationary pole, signal or manDrm Video
- [Notes] Case 1_ Train Crossing a stationary pole, signal or manPdf
- Case 2_ Train Crossing a Platform, Bridge or TunnelDrm Video
- [Notes] Case 2_ Train Crossing a Platform, Bridge or TunnelPdf
- Case 3_ Two Trains Crossing One Other(Opposite Direction)Drm Video
- [Notes] Case 3_ Two Trains Crossing One Other(Opposite Direction)Pdf
- Case 4_ Two Trains Crossing One Other (Same Direction)Drm Video
- [Notes] Case 4_ Two Trains Crossing One Other (Same Direction)Pdf
- Conventions To Solve Problems on Train + Tricky QuestionsDrm Video
- [Notes] Conventions To Solve Problems on Train + Tricky QuestionsPdf
- Short Trick To Solve Problem on StoppagesDrm Video
- [Notes] Short Trick To Solve Problem on StoppagesPdf
- Important Question & Short Trick on Train Problems (1)Drm Video
- [Notes] Important Question & Short Trick on Train Problems (1)Pdf
- Important Question & Short Trick on Train Problems (2)Drm Video
- [Notes] Important Question & Short Trick on Train Problems (2)Pdf
- Important Question & Short Trick on Train Problems (3)Drm Video
- [Notes] Important Question & Short Trick on Train Problems (3)Pdf
Boats and Streams
- Basic Concepts, Terminology & Formulas of Boats & StreamsDrm Video
- [Notes] Basic Concepts, Terminology & Formulas of Boats & StreamsPdf
- Solving Basic Level Questions on Boats & StreamsDrm Video
- [Notes] Solving Basic Level Questions on Boats & StreamsPdf
- Short Trick to Solve Round Trip Problem in Boats & StreamDrm Video
- [Notes] Short Trick to Solve Round Trip Problem in Boats & StreamPdf
- Short Trick to Solve Comparison Problem in Boats & StreamDrm Video
- [Notes] Short Trick to Solve Comparison Problem in Boats & StreamPdf
- Important Questions on Boats & Streams with Short TricksDrm Video
- Important Questions on Boats & Streams with Short TricksPdf
- 20.6Drm Video
- [Notes] 20.6Pdf
Multiple Topics
- Important Practice Questions on SPEED TIME & DISTANCE 1Drm Video
- [Notes] Important Practice Questions on SPEED TIME & DISTANCE 1Pdf
- Important Practice Questions on SPEED TIME & DISTANCE 2Drm Video
- [Notes] Important Practice Questions on SPEED TIME & DISTANCE 2Pdf
- Speed Time & Distance (Quick Revisions & Practice Questions)Drm Video
- [Notes] Speed Time & Distance (Quick Revisions & Practice Questions)Pdf
Time and Work
Basic Concepts of Work & Efficiency
Individual Work and Combined Work Problems
Efficiency Ratio and Comparative Work Rate
Alternate Days & Remaining Work Problems
Average
Basic Concepts and Formulas
Average of Consecutive / Odd / Even / Natural Numbers
Average of Arithmetic Series, Squares, and Cubes
Change in Average (When Members Join, Leave, or Replace)
Effect on Average by Arithmetic Operations
Weighted Average, Combined / Mixture Average Problems
Practical and Contextual Word Problems
Percentage
Basic Concepts, Terminologies & Properties
Conversion Between Fractions (Ratio) & Percentages
- Demo: Basics of Percentages, Percentage - Fraction ConversionsStandard Video
- [Notes] Basics of Percentages, Percentage - Fraction ConversionsPdf
- Important Property, Trick to find 10 & 1 percent of any numberDrm Video
- [Notes] Important Property, Trick to find 10 & 1 percent of any numberPdf
- Short Tricks to Remember Ratio to Percentage Table Part 1Drm Video
- [Notes] Short Tricks to Remember Ratio to Percentage Table Part 1Pdf
- Short Tricks to Remember Ratio to Percentage Table Part 2Drm Video
- [Notes] Short Tricks to Remember Ratio to Percentage Table Part 2Pdf
- Short Tricks to Remember Ratio to Percentage Table Part 3Drm Video
- [Notes] Short Tricks to Remember Ratio to Percentage Table Part 3Pdf
- Short Tricks to Remember Ratio to Percentage Table Part 4Drm Video
- [Notes] Short Tricks to Remember Ratio to Percentage Table Part 4Pdf
- Practice Problems on Ratio to Percentage ConversionDrm Video
- [Notes] Practice Problems on Ratio to Percentage ConversionPdf
- Practice Problems on Percentage to Ratio ConversionDrm Video
- [Notes] Practice Problems on Percentage to Ratio ConversionPdf
- Question on Ratio to Percentage ConversionDrm Video
- [Notes] Question on Ratio to Percentage ConversionPdf
Finding Percentage
Profit and Loss
Basic Concepts, Formulas and Quick Transformations
Finding Profit, Loss, Cost Price, Selling Price, Profit Percent and Loss Percent
Multiple Items and Mixed Rate Problems
Overall Profit and Loss (Combined Transactions)
Discount, Marked Price and Trader Tricks (Including False Weight)
Algebra
Basic Concepts & Fundamental Operations
Laws & Identities of Algebra
Factorization & Simplification
Linear Equations
Quadratic Equations
Polynomials & Algebraic Expressions
Simplification Based Problems
Mensuration and Geometry
Basic Concepts and Geometric Terminology
Probability
Basic Concepts and Terminology
- What is Experiment, Event, Favorable & Total OutcomeDrm Video
- [Notes] What is Experiment, Event, Favorable & Total OutcomePdf
- What is Sure Event, Impossible Event, Complementary EventDrm Video
- [Notes] What is Sure Event, Impossible Event, Complementary EventPdf
- Short Trick to find total outcomes in an experimentDrm Video
- [Notes] Short Trick to find total outcomes in an experimentPdf
- Mutually Exclusive Events & Exhaustive EventsDrm Video
- [Notes] Mutually Exclusive Events & Exhaustive EventsPdf
- Odds in Favour of an event & Odds Against An EventDrm Video
- [Notes] Odds in Favour of an event & Odds Against An EventPdf
Classical Problems (Cards, Dice, Coins, Digits, Number, Objects)
- Short Tricks to deal with cases of 'At least' & 'At most'Drm Video
- [Notes] Short Tricks to deal with cases of 'At least' & 'At most'Pdf
- Tricks & Techniques to Solve Dice Sum ProblemsDrm Video
- [Notes] Tricks & Techniques to Solve Dice Sum ProblemsPdf
- Tricks & Techniques to Solve Playing Cards ProblemDrm Video
- [Notes] Tricks & Techniques to Solve Playing Cards ProblemPdf
- Finding Probability of 53 Sundays in a Leap YearDrm Video
- [Notes] Finding Probability of 53 Sundays in a Leap YearPdf
Probability Using Venn Diagrams & Set Theory
Statistics
Introduction & Types of Data
Mean, Median, and Mode for grouped data
Speed Mathematics and Basic Mathematics
Speed Math
- Find Square Root of Any Number in Just 5 SecondsDrm Video
- Find Square Root of Any Number in Just 5 SecondsPdf
- Multiply 2-Digit Numbers in Just 5 SecondsDrm Video
- Multiply 2-Digit Numbers in Just 5 SecondsPdf
- Multiply 3-Digit Numbers in Just 5 SecondsDrm Video
- Multiply 3-Digit Numbers in Just 5 SecondsPdf
- Find Square Root of Imperfect Numbers in Just 10 SecondsDrm Video
- Find Square Root of Imperfect Numbers in Just 10 SecondsPdf
- Tricks to Calculate Number of Triangles in Any FigureDrm Video
- Tricks to Calculate Number of Triangles in Any FigurePdf
- Tricks to Calculate Number of Triangles in Any Figure (2)Drm Video
- Tricks to Calculate Number of Triangles in Any Figure (2)Pdf
- Tricks to Calculate Number of Triangles in Any Figure (3)Drm Video
- Tricks to Calculate Number of Triangles in Any Figure (3)Pdf
- Tricks to Find No. of Triangles & Squares in Any FigureDrm Video
- Tricks to Find No. of Triangles & Squares in Any FigurePdf
- Trick To Check if a Number is Divisible by 7 or NotDrm Video
- Trick To Check if a Number is Divisible by 7 or NotPdf
- Short Trick to find angle between hands of a clockDrm Video
- Short Trick to find angle between hands of a clockPdf
- More Short Tricks for Fast CalculationDrm Video
- More Short Tricks for Fast CalculationPdf
Pipe and Cistern
Basic Concepts, Formulas and Terminology
Mixture and Alligation
Basic Concepts and Weighted Average
- Demo: What is Covered in this TopicStandard Video
- [Notes] What is Covered in this TopicPdf
- Demo: Pre-requisite required to understand Mixture & AlligationStandard Video
- [Notes] Pre-requisite required to understand Mixture & AlligationPdf
- Demo: Concept of Weighted Average & its role in AlligationsStandard Video
- [Notes] Concept of Weighted Average & its role in AlligationsPdf
Alligation Rule (Core Concept + Two-Ingredient Mixture)
- What is Mixture & AlligationDrm Video
- [Notes] What is Mixture & AlligationPdf
- Where to apply Alligation Rule (Applications)Drm Video
- [Notes] Where to apply Alligation Rule (Applications)Pdf
- TCS Previous Year Question on Alligation RuleDrm Video
- [Notes] TCS Previous Year Question on Alligation RulePdf
- WIPRO Previous Year Question on Alligation RuleDrm Video
- [Notes] WIPRO Previous Year Question on Alligation RulePdf
- BANK PO & AMCAT Previous Year Question on Alligation RuleDrm Video
- [Notes] BANK PO & AMCAT Previous Year Question on Alligation RulePdf
- GATE Exam (Mechanical) Asked Question on Alligation RuleDrm Video
- [Notes] GATE Exam (Mechanical) Asked Question on Alligation RulePdf
- COGNIZANT & ACCENTURE Asked Questions on Alligation RuleDrm Video
- [Notes] COGNIZANT & ACCENTURE Asked Questions on Alligation RulePdf
Three-Ingredient Mixtures and Mixture of Mixtures
- SHORT TRICKS to solve problems on MIXTURE OF MIXTUREDrm Video
- [Notes] SHORT TRICKS to solve problems on MIXTURE OF MIXTUREPdf
- SHORT TRICK To Apply Alligation Rule on 3 IngredientsDrm Video
- [Notes] SHORT TRICK To Apply Alligation Rule on 3 IngredientsPdf
- INFOSYS Previous Year Question on 3 Ingredients MixtureDrm Video
- [Notes] INFOSYS Previous Year Question on 3 Ingredients MixturePdf
- TCS, INFOSYS & E-LITMUS Question on Mixture of MixtureDrm Video
- [Notes] TCS, INFOSYS & E-LITMUS Question on Mixture of MixturePdf
Profit–Loss Based Alligation (Cost Price, Selling at CP, Fake Profit)
- Solving PROFIT & LOSS Questions Using Alligation RuleDrm Video
- [Notes] Solving PROFIT & LOSS Questions Using Alligation RulePdf
- Water mixed to a mixture & sold at CP to make profit (1)Drm Video
- [Notes] Water mixed to a mixture & sold at CP to make profit (1)Pdf
- Water mixed to a mixture & sold at CP to make profit (2)Drm Video
- [Notes] Water mixed to a mixture & sold at CP to make profit (2)Pdf
- Water mixed to a mixture & sold at CP to make profit (3)Drm Video
- [Notes] Water mixed to a mixture & sold at CP to make profit (3)Pdf
- Selling item in 2 parts with given profit% or loss% (1)Drm Video
- [Notes] Selling item in 2 parts with given profit% or loss% (1)Pdf
- Selling item in 2 parts with given profit% or loss% (2)Drm Video
- [Notes] Selling item in 2 parts with given profit% or loss% (2)Pdf
- Selling item in 2 parts with given profit% or loss% (3)Drm Video
- [Notes] Selling item in 2 parts with given profit% or loss% (3)Pdf
Concentration / Purity Adjustment Problems
- Alligation Rule For Diluting Milk With Water ProblemsDrm Video
- [Notes] Alligation Rule For Diluting Milk With Water ProblemsPdf
- Adding an Ingredient to Increase Concentration QuestionsDrm Video
- [Notes] Adding an Ingredient to Increase Concentration QuestionsPdf
- SHORT TRICK -Adding Ingredient to Increase ConcentrationDrm Video
- [Notes] SHORT TRICK -Adding Ingredient to Increase ConcentrationPdf
Application-Based Problems (Population, Students, Males/Females, Distribution)
Challenging and Mixed Questions
Investment and Interest Rate Based Alligation (Simple Interest, Compound Interest)
- Solving SIMPLE INTEREST Questions using Alligation RuleDrm Video
- [Notes] Solving SIMPLE INTEREST Questions using Alligation RulePdf
- Short Tricks to solve investment interest problems (1)Drm Video
- [Notes] Short Tricks to solve investment interest problems (1)Pdf
- Short Tricks to solve investment interest problems (2)Drm Video
- [Notes] Short Tricks to solve investment interest problems (2)Pdf
Age Problems
Partnership
Basic Concepts, Formulas and Terminologies
Powers and Exponents (Surds and Indices)
Laws of Surds & Simplification
Rationalization of Surds
Comparing & Simplifying Complex Powers
Arithmetic
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