Course module
Paper 1 | Numerical Analysis — RPSC Programmer – Paper 1 + Paper 2
Explore the module outline and lessons below. Enroll free to begin studying here.
Return to /learn/RPSC-PROGRAMMER/paper-1-numerical-analysis after enrolling
- Lessons
- 361
- Duration
- 60 hr 50 min
- PYQs
- 6
- Practice
- 1496
1% of this course's PYQ weight is covered in this module.
Syllabus index
Lessons in this module
Number System
Factors, Multiples & Prime Factorization
- Tricks To Find Sum of Factors & Sum of Odd & Even FactorsDrm Video
- Finding those Factors of 'P' which are divisible by 'Q'Drm Video
- [Notes] Finding those Factors of 'P' which are divisible by 'Q'Pdf
- [Notes] Tricks To Find Sum of Factors & Sum of Odd & Even FactorsPdf
- [Notes] Short Tricks to Find Number of Odd & Even FactorsPdf
- [Notes] Tricky Important Questions on Finding Product of FactorsPdf
- [Notes] Short Tricks to Find Number & Product of FactorsPdf
- Demo: Short Tricks to Find Number & Product of FactorsStandard Video
- Demo: Tricky Important Questions on Finding Product of FactorsStandard Video
- Demo: Short Tricks to Find Number of Odd & Even FactorsStandard Video
Perfect Squares, Perfect Cubes, Power, Square Root and Patterns
- Interesting Facts About Perfect Squares & Perfect CubesDrm Video
- Tricks to Find Factors that are Perfect Squares & CubesDrm Video
- Question - Find Factors that are Perfect Squares & CubesDrm Video
- Number Systems - HOT Questions (1)Drm Video
- Number Systems - HOT Questions (2)Drm Video
- [Notes] Number Systems - HOT Questions (2)Pdf
- [Notes] Number Systems - HOT Questions (1)Pdf
- [Notes] Question - Find Factors that are Perfect Squares & CubesPdf
- [Notes] Tricks to Find Factors that are Perfect Squares & CubesPdf
- [Notes] Interesting Facts About Perfect Squares & Perfect CubesPdf
HCF LCM
Finding HCF
- [Notes] Another Short Trick to find HCF of Big NumbersPdf
- Another Short Trick to find HCF of Big NumbersDrm Video
- Short Trick to find HCF by using smallest elementDrm Video
- How to find HCF Quickly with the help of given optionsDrm Video
- Short Trick to find HCF of Big NumbersDrm Video
- Short Trick to find HCF using Co-Prime Numbers ConceptDrm Video
- [Notes] Short Trick to find HCF using Co-Prime Numbers ConceptPdf
- [Notes] Short Trick to find HCF of Big NumbersPdf
- [Notes] How to find HCF Quickly with the help of given optionsPdf
- [Notes] Short Trick to find HCF by using smallest elementPdf
- [Notes] Short Trick to find HCF by minimum difference methodPdf
- [Notes] Trick to find HCF by Long Division MethodPdf
- [Notes] Tricks for HCF by Inspection, HCF by Prime FactorizationPdf
- Demo: Tricks for HCF by Inspection, HCF by Prime FactorizationStandard Video
- Demo: Trick to find HCF by Long Division MethodStandard Video
- Demo: Short Trick to find HCF by minimum difference methodStandard Video
Percentage
Conversion Between Fractions (Ratio) & Percentages
- Short Tricks to Remember Ratio to Percentage Table Part 1Drm Video
- Short Tricks to Remember Ratio to Percentage Table Part 2Drm Video
- Short Tricks to Remember Ratio to Percentage Table Part 3Drm Video
- Short Tricks to Remember Ratio to Percentage Table Part 4Drm Video
- Practice Problems on Ratio to Percentage ConversionDrm Video
- Practice Problems on Percentage to Ratio ConversionDrm Video
- Question on Ratio to Percentage ConversionDrm Video
- Important Property, Trick to find 10 & 1 percent of any numberDrm Video
- [Notes] Important Property, Trick to find 10 & 1 percent of any numberPdf
- [Notes] Question on Ratio to Percentage ConversionPdf
- [Notes] Practice Problems on Percentage to Ratio ConversionPdf
- [Notes] Practice Problems on Ratio to Percentage ConversionPdf
- [Notes] Short Tricks to Remember Ratio to Percentage Table Part 3Pdf
- [Notes] Short Tricks to Remember Ratio to Percentage Table Part 2Pdf
- [Notes] Short Tricks to Remember Ratio to Percentage Table Part 1Pdf
- [Notes] Basics of Percentages, Percentage - Fraction ConversionsPdf
- [Notes] Short Tricks to Remember Ratio to Percentage Table Part 4Pdf
- Demo: Basics of Percentages, Percentage - Fraction ConversionsStandard Video
Ratio and Proportion (Ratios)
Basic Concepts & Properties of Ratio
Average
Change in Average (When Members Join, Leave, or Replace)
Sequence and Series (Series)
Basic Concepts & Terminologies
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
Powers and Exponents (Surds and Indices)
Comparing & Simplifying Complex Powers
Algebra
Basic Concepts & Fundamental Operations
Laws & Identities of Algebra
Factorization & Simplification
Linear Equations
Polynomials & Algebraic Expressions
- [Notes] Practice Questions on HCF & LCM Of PolynomialsPdf
- Practice Questions on HCF & LCM Of PolynomialsDrm Video
- Types of polynomial and BinomialDrm Video
- How To Solve HCF in PolynomialsDrm Video
- How To Solve LCM in PolynomialsDrm Video
- [Notes] How To Solve LCM in PolynomialsPdf
- [Notes] How To Solve HCF in PolynomialsPdf
- [Notes] Types of polynomial and BinomialPdf
Statistics
Introduction & Types of Data
Mean, Median, and Mode for grouped data
Data Interpretation
Basic Concepts & Terminologies
- Ratio - Percentage ConversionDrm Video
- [Notes] Ratio - Percentage ConversionPdf
- [Notes] Tricks Ratio to Percentage TablePdf
- [Notes] Types of GraphsPdf
- [Notes] Pre-requisites & Basic ConceptsPdf
- Demo: Pre-requisites & Basic ConceptsStandard Video
- Demo: Types of GraphsStandard Video
- Demo: Tricks Ratio to Percentage TableStandard Video
Mental Ability
Arithmetic
Logarithm
Solving Logarithmic Expressions and Equations
- Set 1 - Important Questions on LogarithmsDrm Video
- Set 2 - Important Questions on LogarithmsDrm Video
- Set 3 - Important Questions on LogarithmsDrm Video
- Set 4 - Important Questions on LogarithmsDrm Video
- Set 5 - Important Questions on LogarithmsDrm Video
- Set 6- Important Questions on LogarithmsDrm Video
- GATE 2018 - Computer Science - Logarithm - 2 MarksDrm Video
- [Notes] Set 6- Important Questions on LogarithmsPdf
- [Notes] Set 5 - Important Questions on LogarithmsPdf
- [Notes] Set 4 - Important Questions on LogarithmsPdf
- [Notes] Set 3 - Important Questions on LogarithmsPdf
- [Notes] Set 2 - Important Questions on LogarithmsPdf
- [Notes] Set 1 - Important Questions on LogarithmsPdf
- 12 Logarithm (Quick Revision & Practice Problems)Drm Video
- [Notes] 12 Logarithm (Quick Revision & Practice Problems)Pdf
Profit and Loss
Basic Concepts, Formulas and Quick Transformations
Finding Profit, Loss, Cost Price, Selling Price, Profit Percent and Loss Percent
Overall Profit and Loss (Combined Transactions)
Simple Interest and Compound Interest
Simple Interest - Basic Concepts, Formulas and Terminologies
- Terminology Principal, Rate, Time, Interest, AmountDrm Video
- Simple Interest Basic Concepts & FormulasDrm Video
- Simple Interest Basic Level QuestionsDrm Video
- Simple Interest Important Practice Questions (Set 1)Drm Video
- [Notes] Simple Interest Important Practice Questions (Set 1)Pdf
- [Notes] Simple Interest Basic Level QuestionsPdf
- [Notes] Simple Interest Basic Concepts & FormulasPdf
- [Notes] Terminology Principal, Rate, Time, Interest, AmountPdf
Installments and Debt-Related Problems
Compound Interest – Core Concepts
- Compound Interest An IntroductionDrm Video
- Compound Interest Formula & Comparison with SIDrm Video
- Short Trick to Find Compound Interest in just 10 SecondsDrm Video
- Compound Interest Basics + Problem Solving (1)Drm Video
- Compound Interest Basics + Problem Solving (2)Drm Video
- Compound Interest Basics + Problem Solving (3)Drm Video
- [Notes] Compound Interest Basics + Problem Solving (3)Pdf
- [Notes] Compound Interest Basics + Problem Solving (2)Pdf
- [Notes] Compound Interest Basics + Problem Solving (1)Pdf
- [Notes] Short Trick to Find Compound Interest in just 10 SecondsPdf
- [Notes] Compound Interest Formula & Comparison with SIPdf
- [Notes] Compound Interest An IntroductionPdf
Speed Time and Distance
Basics, Prerequisites and Unit Conversions
- Trick to convert kilometer per hour to meter per secondDrm Video
- [Notes] Trick to convert kilometer per hour to meter per secondPdf
- [Notes] Definitions, Basic Formulas, Units and Inter-conversionsPdf
- [Notes] Pre-requisites required for Speed, Time & DistancePdf
- [Notes] What is covered in this coursePdf
- Demo: What is covered in this courseStandard Video
- Demo: Pre-requisites required for Speed, Time & DistanceStandard Video
- Demo: Definitions, Basic Formulas, Units and Inter-conversionsStandard Video
Proportionality and Constant Variable Concepts
Average Speed
- Concept & Short Tricks to calculate AVERAGE SPEED (1)Drm Video
- Concept & Short Tricks to calculate AVERAGE SPEED (2)Drm Video
- Concept & Short Tricks to calculate AVERAGE SPEED (3)Drm Video
- Important Practice Questions on AVERAGE SPEED (1)Drm Video
- Important Practice Questions on AVERAGE SPEED (2)Drm Video
- Important Practice Questions on AVERAGE SPEED (3)Drm Video
- Average - Short Tricks to Find Average SpeedDrm Video
- [Notes] Important Practice Questions on AVERAGE SPEED (3)Pdf
- [Notes] Important Practice Questions on AVERAGE SPEED (2)Pdf
- [Notes] Important Practice Questions on AVERAGE SPEED (1)Pdf
- [Notes] Concept & Short Tricks to calculate AVERAGE SPEED (3)Pdf
- [Notes] Concept & Short Tricks to calculate AVERAGE SPEED (2)Pdf
- [Notes] Concept & Short Tricks to calculate AVERAGE SPEED (1)Pdf
- [Notes] Average - Short Tricks to Find Average SpeedPdf
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
Mixture and Alligation
Alligation Rule (Core Concept + Two-Ingredient Mixture)
- What is Mixture & AlligationDrm Video
- TCS Previous Year Question on Alligation RuleDrm Video
- WIPRO Previous Year Question on Alligation RuleDrm Video
- Where to apply Alligation Rule (Applications)Drm Video
- BANK PO & AMCAT Previous Year Question on Alligation RuleDrm Video
- GATE Exam (Mechanical) Asked Question on Alligation RuleDrm Video
- COGNIZANT & ACCENTURE Asked Questions on Alligation RuleDrm Video
- [Notes] TCS Previous Year Question on Alligation RulePdf
- [Notes] Where to apply Alligation Rule (Applications)Pdf
- [Notes] What is Mixture & AlligationPdf
- [Notes] BANK PO & AMCAT Previous Year Question on Alligation RulePdf
- [Notes] COGNIZANT & ACCENTURE Asked Questions on Alligation RulePdf
- [Notes] GATE Exam (Mechanical) Asked Question on Alligation RulePdf
- [Notes] WIPRO Previous Year Question on Alligation RulePdf
Challenging and Mixed Questions
Investment and Interest Rate Based Alligation (Simple Interest, Compound Interest)
- Solving SIMPLE INTEREST Questions using Alligation RuleDrm Video
- Short Tricks to solve investment interest problems (1)Drm Video
- Short Tricks to solve investment interest problems (2)Drm Video
- [Notes] Short Tricks to solve investment interest problems (2)Pdf
- [Notes] Short Tricks to solve investment interest problems (1)Pdf
- [Notes] Solving SIMPLE INTEREST Questions using Alligation RulePdf
Mensuration and Geometry
Basic Concepts and Geometric Terminology
2D Mensuration (Plane Figures)
3D Mensuration (Solid Figures)
- 3D Geometry IntroductionDrm Video
- Surface Area, Volume and Capacity Are DifferentDrm Video
- 3D Geometry Important QuestionDrm Video
- 3D Geometry Important QuestionDrm Video
- Prism and Pyramid — Rapid RevisionDrm Video
- Cube and Special CuboidDrm Video
- Cut and General cuboid ruleDrm Video
- Painted Cube Questions Follow the Position of Each Small CubeDrm Video
- A Cylinder Is a Prism with a Circular BaseDrm Video
- Radius AffectsDrm Video
- Cone — Height Builds Volume_ Slant Height Builds SurfaceDrm Video
- A Sphere Has One Radius—and Two Core Formulas_1Drm Video
- Composite SolidsDrm Video
- The Largest Solid Inside a Cube Is Fixed by Its SideDrm Video
- Formula RevisionDrm Video
- [Notes] 3D Geometry - Part 1Pdf
Permutation and Combination
Basic Concepts & Counting Principles
Permutations (with & without Repetition)
- Permutations with Limited RepetitionsDrm Video
- Tricks to Solve The Famous MISSISSIPPI Problem in P&CDrm Video
- Vowels & Consonants Type Questions in P&CDrm Video
- Tricks to Solve Questions on Arrangement of LettersDrm Video
- Tricks to Solve Questions on Arrangement of Digits (1)Drm Video
- Tricks to Solve Questions on Arrangement of Digits (2)Drm Video
- [Notes] Tricks to Solve Questions on Arrangement of Digits (2)Pdf
- [Notes] Tricks to Solve Questions on Arrangement of Digits (1)Pdf
- [Notes] Tricks to Solve Questions on Arrangement of LettersPdf
- [Notes] Vowels & Consonants Type Questions in P&CPdf
- [Notes] Tricks to Solve The Famous MISSISSIPPI Problem in P&CPdf
- [Notes] Permutations with Limited RepetitionsPdf
- [Notes] Permutations with Unlimited RepetitionsPdf
- [Notes] Permutations with No RepetitionPdf
- Demo: Permutations with No RepetitionStandard Video
- Demo: Permutations with Unlimited RepetitionsStandard Video
Circular & Grouping Permutations
- Tricks to Solve Grouping Type Questions in P&CDrm Video
- Tricks for Problems on Choosing Items from Group of ItemsDrm Video
- Circular ArrangementsDrm Video
- Circular Arrangements on GroupsDrm Video
- Tricks to Solve Necklace Based ProblemsDrm Video
- [Notes] Tricks to Solve Grouping Type Questions in P&CPdf
- [Notes] Tricks to Solve Necklace Based ProblemsPdf
- [Notes] Circular Arrangements on GroupsPdf
- [Notes] Circular ArrangementsPdf
- [Notes] Tricks for Problems on Choosing Items from Group of ItemsPdf
Combinations (with & without Repetition)
- Combinations with No Repetitions & Unlimited RepetitionsDrm Video
- Solving Some Basic Questions on Permutation & CombinationDrm Video
- An Important Property (Binomial Theorem)Drm Video
- Total Outcomes, MCQ Paper Solving, Unlimited RepetitionsDrm Video
- [Notes] Total Outcomes, MCQ Paper Solving, Unlimited RepetitionsPdf
- [Notes] An Important Property (Binomial Theorem)Pdf
- [Notes] Solving Some Basic Questions on Permutation & CombinationPdf
- [Notes] Combinations with No Repetitions & Unlimited RepetitionsPdf
Special Applied Problems
- Tricks to Solve Questions on Binary StringsDrm Video
- Trick for Sum of all numbers formed from given digitsDrm Video
- Finding Rank of a Word (Concept + Short Trick)Drm Video
- Question on Finding Rank of a Word Without RepetitionDrm Video
- Short Trick to Find Rank of a Word With RepetitionsDrm Video
- Short Trick to Find Number of HandshakesDrm Video
- Chocolate Picking ProblemDrm Video
- Counting Sticks ApproachDrm Video
- Short Tricks to Solve Dice Sum Problem (1)Drm Video
- Short Tricks to Solve Dice Sum Problem (2)Drm Video
- Conventional Method of Solving Dice Sum ProblemDrm Video
- Short Tricks for Alphabet Selection Problem in P&CDrm Video
- [Notes] Short Tricks for Alphabet Selection Problem in P&CPdf
- [Notes] Conventional Method of Solving Dice Sum ProblemPdf
- [Notes] Short Tricks to Solve Dice Sum Problem (2)Pdf
- [Notes] Short Tricks to Solve Dice Sum Problem (1)Pdf
- [Notes] Counting Sticks ApproachPdf
- [Notes] Chocolate Picking ProblemPdf
- [Notes] Short Trick to Find Number of HandshakesPdf
- [Notes] Short Trick to Find Rank of a Word With RepetitionsPdf
- [Notes] Question on Finding Rank of a Word Without RepetitionPdf
- [Notes] Finding Rank of a Word (Concept + Short Trick)Pdf
- [Notes] Trick for Sum of all numbers formed from given digitsPdf
- [Notes] Tricks to Solve Questions on Binary StringsPdf
Advanced Counting Theorems
- Principle of Inclusion & Exclusion, Use of Venn DiagramDrm Video
- Number of Intersection Points & ParallelogramDrm Video
- Concept & Short Tricks of Derangement in P&CDrm Video
- Important Questions on DerangementsDrm Video
- [Notes] Important Questions on DerangementsPdf
- [Notes] Concept & Short Tricks of Derangement in P&CPdf
- [Notes] Principle of Inclusion & Exclusion, Use of Venn DiagramPdf
- [Notes] Number of Intersection Points & ParallelogramPdf
Probability
Basic Concepts and Terminology
- What is Sure Event, Impossible Event, Complementary EventDrm Video
- Short Trick to find total outcomes in an experimentDrm Video
- Mutually Exclusive Events & Exhaustive EventsDrm Video
- Odds in Favour of an event & Odds Against An EventDrm Video
- [Notes] Odds in Favour of an event & Odds Against An EventPdf
- [Notes] Mutually Exclusive Events & Exhaustive EventsPdf
- [Notes] Short Trick to find total outcomes in an experimentPdf
- [Notes] What is Sure Event, Impossible Event, Complementary EventPdf
- [Notes] What is Experiment, Event, Favorable & Total OutcomePdf
- Demo: What is Experiment, Event, Favorable & Total OutcomeStandard Video
Classical Problems (Cards, Dice, Coins, Digits, Number, Objects)
- Short Tricks to deal with cases of 'At least' & 'At most'Drm Video
- Tricks & Techniques to Solve Dice Sum ProblemsDrm Video
- Tricks & Techniques to Solve Playing Cards ProblemDrm Video
- Finding Probability of 53 Sundays in a Leap YearDrm Video
- [Notes] Finding Probability of 53 Sundays in a Leap YearPdf
- [Notes] Tricks & Techniques to Solve Playing Cards ProblemPdf
- [Notes] Tricks & Techniques to Solve Dice Sum ProblemsPdf
- [Notes] Short Tricks to deal with cases of 'At least' & 'At most'Pdf
Probability Using Venn Diagrams & Set Theory
Graph Theory
Spanning Tree and Spanning Forest – Definition, Construction, and Applications
Combinatorics
Previous-year questions
PYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions1 questionsPYQ collectionPYQ Questions6 questions
Explore the course
- Paper 1 | Reasoning Test
- Paper 1 | General Knowledge
- Paper 1 | DBMS
- Paper 1 | Data Communication & Network
- Paper 2 | System Analysis & Design
- Paper 2 | Programming Language (Java)

