Course module
MathematicsRRB Technician Grade - 1
- Lessons
- 378
- Duration
- 54 hr 46 min
- PYQs
- 0
- Practice
- 5243
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
Divisibility Rules
Basic Concepts of Divisibility
Divisibility Rules for all Numbers
- Demo: Divisibility Rules of 2, 3 and 4Standard Video
- [Notes] Divisibility Rules of 2, 3 and 4Pdf
- Demo: Divisibility Rules of 5, 6 and 7Standard Video
- [Notes] Divisibility Rules of 5, 6 and 7Pdf
- Divisibility Rules of 8, 9, 10 and 11Drm Video
- [Notes] Divisibility Rules of 8, 9, 10 and 11Pdf
- Divisibility Rules of 11, 12 and 13Drm Video
- [Notes] Divisibility Rules of 11, 12 and 13Pdf
- Amazing Short Trick for Divisibility of 7 and 13Drm Video
- [Notes] Amazing Short Trick for Divisibility of 7 and 13Pdf
- All Divisibility Rules of 13 in a single videoDrm Video
- [Notes] All Divisibility Rules of 13 in a single videoPdf
- Divisibility Rules of 14 and 15Drm Video
- [Notes] Divisibility Rules of 14 and 15Pdf
- Divisibility Rules of 16Drm Video
- [Notes] Divisibility Rules of 16Pdf
- Divisibility Rules of 17 and 18Drm Video
- [Notes] Divisibility Rules of 17 and 18Pdf
- Divisibility Rules of 19Drm Video
- [Notes] Divisibility Rules of 19Pdf
- Divisibility Rules of 20, 21, 22 and 23Drm Video
- [Notes] Divisibility Rules of 20, 21, 22 and 23Pdf
- Divisibility Rules of 24, 25 and 26Drm Video
- [Notes] Divisibility Rules of 24, 25 and 26Pdf
- Divisibility Rules of 27Drm Video
- [Notes] Divisibility Rules of 27Pdf
- Divisibility Rules of 28, 29, 30 and 31Drm Video
- [Notes] Divisibility Rules of 28, 29, 30 and 31Pdf
- Divisibility Rules of 37, 41 and 43Drm Video
- [Notes] Divisibility Rules of 37, 41 and 43Pdf
- Short Trick to remember divisibility rules from 11 to 50Drm Video
- [Notes] Short Trick to remember divisibility rules from 11 to 50Pdf
- Divisibility Rules of Important Numbers From 31 to 1000Drm Video
- [Notes] Divisibility Rules of Important Numbers From 31 to 1000Pdf
Mathematics Problems on Divisibility
Properties of Divisibility
Division and Remainder-Based Problems
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 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
Algebra
Basic Concepts & Fundamental Operations
Laws & Identities of Algebra
Factorization & Simplification
Linear Equations
Quadratic Equations
Polynomials & Algebraic Expressions
Simplification Based Problems
Arithmetic
Powers and Exponents (Surds and Indices)
Laws of Surds & Simplification
Rationalization of Surds
Comparing & Simplifying Complex Powers
Mensuration and Geometry
Basic Concepts and Geometric Terminology
Trigonometry
Basics of Trigonometry (Foundation)
Trigonometric Functions and Angles
Compound Angle and Transformation Formula
Trigonometric Identities and Simplification
Properties of Triangle
- Properties of Triangle - Sine and Cosine RuleDrm Video
- Properties of Triangle - Projection FormulaDrm Video
- Properties of Triangle - Area of TrianglesDrm Video
- Properties of Triangle - Half Angle FormulaDrm Video
- Properties of Triangle - CircumRadius, InRadius, ExRadiiDrm Video
- Properties of Triangle - Napier's AnalogyDrm Video
Heights and Distances
Inverse Trigonometric Functions (ITF)
Trigonometric Equations
Statistics
Introduction & Types of Data
Mean, Median, and Mode for grouped data
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
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
Set Theory
Sets, Representation of Sets and Hierarchy of numbers
Finite, Infinite, Countable, and Uncountable Sets
Null, Universal, Subsets, Proper Subsets
Power Set and its Cardinality
Set Operations – Union, Intersection, Set Difference, Symmetric Difference, and Complement
- Set Operations – Union, Intersection, Set Difference, Symmetric Difference, and ComplementPdf
- Complement, Union and Intersection of SetsDrm Video
- Practice QuestionDrm Video
- Set Difference and Symmetric DifferenceDrm Video
- Laws of Set TheoryDrm Video
- 12.5 Practice QuestionDrm Video
- 12.6 Practice QuestionDrm Video
- 12.7 Practice QuestionDrm Video
- 12.8 Practice QuestionDrm Video
- 12.24 Practice QuestionDrm Video
Explore the course
- General Awareness
- General Intelligence & Reasoning
- Basics of Computers & Applications
- Basic Science & Engineering
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