Course module
GS Paper | 05 | Elementary Maths / प्रारंभिक गणित — UP LT Grade Computer Science (सहायक अध्यापक)
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- Lessons
- 369
- Duration
- 88 hr 9 min
- PYQs
- 87
- Practice
- 3782
25% of this course's PYQ weight is covered in this module.
Syllabus index
Lessons in this module
Number System / संख्या पद्धति
Factors, Prime Numbers and Divisors / गुणनखंड, अभाज्य संख्याएँ और भाजक
Remainder Problems / शेषफल पर आधारित प्रश्न
Unit Digit and Cyclicity / इकाई अंक और चक्रीयता
Multiple Topics / विविध विषय
अंक और स्थानीय मान / Digits and Place Value
Divisibility Rules / विभाज्यता के नियम
विभाज्यता के नियम / Divisibility Rules
- Divisibility Rules of 8, 9, 10 and 11Drm Video
- Divisibility Rules of 11, 12 and 13Drm Video
- Amazing Short Trick for Divisibility of 7 and 13Drm Video
- All Divisibility Rules of 13 in a single videoDrm Video
- Divisibility Rules of 14 and 15Drm Video
- Divisibility Rules of 16Drm Video
- Divisibility Rules of 17 and 18Drm Video
- Divisibility Rules of 19Drm Video
- Divisibility Rules of 20, 21, 22 and 23Drm Video
- Divisibility Rules of 24, 25 and 26Drm Video
- Divisibility Rules of 27Drm Video
- Divisibility Rules of 28, 29, 30 and 31Drm Video
- Divisibility Rules of 37, 41 and 43Drm Video
- Short Trick to remember divisibility rules from 11 to 50Drm Video
- Divisibility Rules of Important Numbers From 31 to 1000Drm Video
Mathematics Problems on Divisibility / विभाज्यता पर गणितीय प्रश्न
Properties of Divisibility / विभाज्यता के गुणधर्म
Multiple Topics / विविध विषय
HCF and LCM / महत्तम समापवर्तक और लघुत्तम समापवर्त्य
Prime Factorisation and Division Methods / अभाज्य गुणनखंड और भाग विधि
HCF and LCM of Fractions and Decimals / भिन्नों और दशमलवों का म.स.-ल.स.
Basic Concepts: Factors, Multiples, Prime & Composite Numbers
- Part 1 - Short Tricks to check Divisibility by 7 & 13Drm Video
- Part 2 - Short Tricks to check Divisibility by 7 & 13Drm Video
- Another Short Trick to find HCF of Big NumbersDrm Video
- Short Trick to find HCF using Co-Prime Numbers ConceptDrm Video
- Short Trick to find LCM using Co-Prime Numbers ConceptDrm Video
- [Notes] Short Trick to find HCF using Co-Prime Numbers ConceptPdf
- [Notes] Short Trick to find LCM using Co-Prime Numbers ConceptPdf
HCF and LCM Word Problems / म.स.-ल.स. के व्यावहारिक प्रश्न
Relation Between HCF, LCM and Product / म.स., ल.स. और गुणनफल का संबंध
HCF and LCM of more than two numbers / दो से अधिक संख्याओं के म.स.प. (HCF) और ल.स.प. (LCM)
Multiple Topics / विविध विषय
Percentage / प्रतिशत
Conversion Between Fractions (Ratio) & Percentages / भिन्नों (अनुपात) और प्रतिशतों के बीच रूपांतरण
- Important Property, Trick to find 10 & 1 percent of any numberDrm Video
- 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
Percentage Basics and Fraction Conversion / प्रतिशत की मूल अवधारणा और भिन्न-रूपांतरण
Profit, Loss and Discount / लाभ, हानि और बट्टा
Basic Concepts, Formulas and Quick Transformations / मूल अवधारणाएँ, सूत्र एवं त्वरित रूपांतरण
Cost Price, Selling Price and Profit or Loss Percent / क्रय मूल्य, विक्रय मूल्य और लाभ-हानि प्रतिशत
Multiple Items and Mixed Rate Problems / अनेक वस्तुओं एवं मिश्रित दरों पर प्रश्न
Overall Profit or Loss on Multiple Transactions / कई सौदों पर कुल लाभ या हानि
Marked Price and Discount / अंकित मूल्य और बट्टा
Multiple Topics / विविध विषय
Simple and Compound Interest / साधारण और चक्रवृद्धि ब्याज
Split Investments and Varying Rates / विभाजित निवेश और बदलती दरें
Simple Interest Calculation / साधारण ब्याज की गणना
- Tricks & Questions on money becoming multiple times on SIDrm Video
- Questions on Extra Amount Received on Extra Interest RateDrm Video
- Short Trick for Questions on Variable Rate of InterestDrm Video
- Short Trick for Questions on Difference in SIDrm Video
- Short Trick for Questions on Difference in AmountDrm Video
- Questions on Principal Money Divided into PartsDrm Video
- Simple Interest Important Practice Questions (Set 2)Drm Video
Instalments and Loan Repayment / किस्तें और ऋण भुगतान
Annual Compound Interest and Depreciation / वार्षिक चक्रवृद्धि ब्याज और ह्रास
- 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
Comparing Simple and Compound Interest / साधारण और चक्रवृद्धि ब्याज का अंतर
Ratio and Proportion / अनुपात और समानुपात
Types of Ratio / अनुपात के प्रकार
Direct and Inverse Variation / सीधा और व्युत्क्रम विचरण
Basic Concepts & Properties of Proportion / समानुपात की मूल अवधारणाएँ और गुणधर्म
Proportional Division / अनुपाती विभाजन
Changing Ratios / बदलते अनुपात
Multiple Topics / विविध विषय
Average / औसत
Basic Average and Its Properties / औसत की मूल अवधारणा और गुणधर्म
Average of Consecutive Numbers and Series / क्रमागत संख्याओं और श्रेणियों का औसत
Average of Arithmetic Series, Squares, and Cubes / समांतर श्रेणी, वर्गों एवं घनों का औसत
Change in Average on Joining, Leaving or Replacement / सदस्य जुड़ने, हटने या बदलने पर औसत
Effect on Average by Arithmetic Operations / अंकगणितीय संक्रियाओं का औसत पर प्रभाव
Combined and Weighted Average / संयुक्त और भारित औसत
Practical and Contextual Word Problems / व्यावहारिक एवं प्रसंग आधारित शाब्दिक प्रश्न
Time and Work / समय और कार्य
Basic Concepts of Work & Efficiency / कार्य और कार्यक्षमता की मूल अवधारणाएँ
Work Rates and Efficiency / कार्य-दर और दक्षता
Efficiency Ratio and Comparative Work Rate / कार्यक्षमता अनुपात एवं तुलनात्मक कार्य दर
Work on Alternate Days / वैकल्पिक दिनों में कार्य
Changing Workforce and Work Stages / बदलते श्रमिक और कार्य चरण
Multiple Topics / अनेक विषय
Time, Speed and Distance / समय, चाल और दूरी
Speed, Distance and Time Relations / चाल, दूरी और समय का संबंध
Average Speed and Journey Stages / औसत चाल और यात्रा चरण
- 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
- Average - Short Tricks to Find Average SpeedDrm 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
Train Crossing / रेलगाड़ी द्वारा पार करना
- 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 Upstream and Downstream / धारा के साथ और विरुद्ध नाव
- 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
Algebra / बीजगणित
Basic Concepts & Fundamental Operations / मूल अवधारणाएँ और आधारभूत संक्रियाएँ
Laws & Identities of Algebra / बीजगणित के नियम और सर्वसमिकाएँ
Factorization & Simplification / गुणनखंडन और सरलीकरण
Linear Equations / रैखिक समीकरण
Quadratic Equations / द्विघात समीकरण
Polynomials & Algebraic Expressions / बहुपद और बीजीय व्यंजक
Simplification Based Problems / सरलीकरण पर आधारित प्रश्न
Multiple Topics / विविध विषय
Solid Mensuration / घन क्षेत्रमिति
Composite Solids and Recasting / संयुक्त ठोस और पुनर्ढलाई
- 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
Data Interpretation / आँकड़ा निर्वचन
Basic Concepts & Terminologies / मूल अवधारणाएँ और पारिभाषिक शब्दावली
Interpreting Tables / तालिका से आँकड़ा निर्वचन
Interpreting Bar Graphs / दंड आलेख से आँकड़ा निर्वचन
Interpreting Pie Charts / वृत्त आलेख से आँकड़ा निर्वचन
Interpreting Line Graphs / रेखा आलेख से आँकड़ा निर्वचन
Arithmetic / अंकगणित
Basic Arithmetic / आधारभूत अंकगणित
Statistics / सांख्यिकी
सांख्यिकी का अर्थ एवं आँकड़ों का संग्रह / Meaning of Statistics and Collection of Data
Mean, Median, and Mode for grouped data / वर्गीकृत आँकड़ों का माध्य, माध्यिका और बहुलक
Probability / प्रायिकता
Basic Concepts and Terminology / मूल अवधारणाएँ एवं पारिभाषिक शब्दावली
सप्रतिबंध प्रायिकता और बेज़ प्रमेय / Conditional Probability and Bayes’ Theorem
वेन आरेख में संख्यात्मक गणना / Numerical Venn-Diagram Calculations
Multiple Topics / विविध विषय
अनुक्रम, श्रेणी और संयोजन / Sequences, Series and Combinatorics
समांतर श्रेढ़ी / Arithmetic Progressions
Arithmetic Mean & Geometric Mean (AM-GM) / समांतर माध्य और गुणोत्तर माध्य (AM-GM)
पुनरावृत्ति संबंध / Recurrence Relations
Mixture and Alligation / मिश्रण और एलिगेशन
Alligation Rule and Mixture Ratios / एलिगेशन नियम और मिश्रण अनुपात
Repeated Mixture Replacement / मिश्रण का क्रमिक प्रतिस्थापन
Profit–Loss Based Alligation (Cost Price, Selling at CP, Fake Profit)
- Solving PROFIT & LOSS Questions Using Alligation RuleDrm Video
- Water mixed to a mixture & sold at CP to make profit (1)Drm Video
- Water mixed to a mixture & sold at CP to make profit (2)Drm Video
- Water mixed to a mixture & sold at CP to make profit (3)Drm Video
- Selling item in 2 parts with given profit% or loss% (1)Drm Video
- Selling item in 2 parts with given profit% or loss% (2)Drm Video
- Selling item in 2 parts with given profit% or loss% (3)Drm Video
Concentration Change and Dilution / सांद्रता परिवर्तन और तनुकरण
Application-Based Problems (Population, Students, Males/Females, Distribution)
Challenging and Mixed Questions / चुनौतीपूर्ण और मिश्रित प्रश्न
Investment and Interest Rate Based Alligation (Simple Interest, Compound Interest)
Calculus / कलन
Limits / सीमाएँ
- Introduction to LimitsDrm Video
- Important Properties of LimitsDrm Video
- Indeterminate FormsDrm Video
- Non-Indeterminate FormsDrm Video
- Solving Limits : Substitution MethodDrm Video
- Solving Limits: Tabular & Approximation MethodDrm Video
- Solving Limits: Factorization MethodDrm Video
- Solving Limits: Expansion MethodDrm Video
- Solving Limits: L Hopital's RuleDrm Video
- Questions on L Hopital's Rule (Part 1)Drm Video
- Questions on L Hopital's Rule (Part 2)Drm Video
- Proof of L Hopital's RuleDrm Video
- Some Notable Special LimitsDrm Video
Continuity / सांतत्य
Differentiability and Differentiation / अवकलनीयता और अवकलन
- Differentiation Rules & FormulasDrm Video
- DIFFERENTIABILITY - Mathematical DefinitionDrm Video
- Differentiability - Geometric DefinitionDrm Video
- How to Geometrically identify Non-Differentiability?Drm Video
- Rolle’s TheoremDrm Video
- Lagrange's Mean Value TheoremDrm Video
- Applications of Mean Value TheoremDrm Video
- Cauchy’s Extended Mean Value TheoremDrm Video
Maxima and Minima / उच्चिष्ठ और निम्निष्ठ
- Stationary Point & Critical PointDrm Video
- Maxima & MinimaDrm Video
- Monotonic FunctionsDrm Video
- How to Mathematically find Maxima & Minima?Drm Video
- Finding Maxima & Minima (Practice Questions Set 1)Drm Video
- Finding Maxima & Minima (Practice Questions Set 2)Drm Video
- Finding Maxima & Minima (Practice Questions Set 3)Drm Video
- Finding Maxima & Minima (Practice Questions Set 4)Drm Video
- Finding Maxima & Minima (Practice Questions Set 5)Drm Video
- Finding Maxima & Minima (Practice Questions Set 6)Drm Video
Integration / समाकलन
- Integration & Indefinite IntegralsDrm Video
- Definite IntegralsDrm Video
- Properties of Definite IntegralsDrm Video
- All Formulas of IntegrationDrm Video
- Solving Integration: Substitution MethodDrm Video
- Solving Integration: Partial Fractions MethodDrm Video
- Complications in Partial Fractions MethodDrm Video
- Solving Integration: Integration by Parts MethodDrm Video
Numerical Methods / संख्यात्मक विधियाँ
Trigonometry / त्रिकोणमिति
Basics of Trigonometry (Foundation) / त्रिकोणमिति की मूल अवधारणाएँ (आधार)
Trigonometric Functions and Angles / त्रिकोणमितीय फलन और कोण
Compound Angle and Transformation Formula / संयुक्त कोण और रूपांतरण सूत्र
Trigonometric Identities and Simplification / त्रिकोणमितीय सर्वसमिकाएँ और सरलीकरण
Properties of Triangle / त्रिभुज के गुणधर्म
- 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
ऊँचाई और दूरी / Heights and Distances
त्रिकोणमितीय समीकरण / Trigonometric Equations
प्रतिलोम त्रिकोणमितीय फलन / Inverse Trigonometric Functions
Vectors / सदिश
Vector Basics (Foundation) / सदिश की मूल अवधारणाएँ (आधार)
Division of Line and Direction Quantities / रेखाखंड का विभाजन और दिक् राशियाँ
Dot Product and Its Applications / अदिश गुणनफल और उसके अनुप्रयोग
Projection of Vectors / सदिशों का प्रक्षेप
Cross Product and Its Applications / सदिश गुणनफल और उसके अनुप्रयोग
Plane Mensuration / समतल क्षेत्रमिति
वर्ग और आयत का मापन / Measuring Squares and Rectangles
आयाम परिवर्तन और क्षेत्रफल अनुपात / Dimension Changes and Area Ratios
Simplification, Indices and Surds / सरलीकरण, घातांक और करणी
Surds: Simplification, Comparison and Rationalisation / करणी: सरलीकरण, तुलना और परिमेयकरण
वर्ग, घन, वर्गमूल और घनमूल / Squares, Cubes, Square Roots and Cube Roots
Series / श्रेणी
Number Series / संख्या श्रेणी
- All Possible Series that can be formedDrm Video
- [Notes] All Possible Series that can be formedPdf
- Some Important Observations and Short TricksDrm Video
- [Notes] Some Important Observations and Short TricksPdf
- Series with combinationDrm Video
- [Notes] Series with combinationPdf
- Find the next term (Important Questions)Drm Video
- [Notes] Find the next term (Important Questions)Pdf
- Important Practice Questions (Part 2)Drm Video
- [Notes] Important Practice Questions (Part 2)Pdf
- Brute Force Short Trick for Tough QuestionsDrm Video
- [Notes] Brute Force Short Trick for Tough QuestionsPdf
- HOT (Higher Ordered Thinking) QuestionsDrm Video
- [Notes] HOT (Higher Ordered Thinking) QuestionsPdf
- 13- Q7872 NVS 2019Drm Video
Module lessons
Previous-year questions
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- CS | 01 | Digital Logic and Circuits and Discrete Mathematical Structures
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- GS Paper | 03 | Indian Economy & Social Development / भारतीय अर्थव्यवस्था एवं सामाजिक विकास
- GS Paper | 04 | General Science / सामान्य विज्ञान
- GS Paper | 06 | Indian Polity and Governance / भारतीय राजव्यवस्था एवं शासन
- GS Paper | 07 | Current Events / समसामयिक घटनाएँ
- UPLT Live Classes Notes
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