Course module
Section 2 | गणित एवं तार्किक क्षमता / Mathematics & Reasoning (GS) — BPSC TRE 4.0 PGT Chemistry (कक्षा 11–12)
सामान्य अध्ययन (40 प्रश्न): प्रारंभिक गणित, अंकगणित, डेटा और सामान्य मानसिक/तार्किक क्षमता। उन्नत calculus, linear algebra और reasoning के विशेष परीक्षा topics शामिल नहीं हैं। / Elementary maths, arithmetic, data and general mental/logical ability.
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Return to /learn/BPSC-TRE-4-SENIOR-SECONDARY-TEACHER-CLASS-11-12-CHEMISTRY/gs-maths-reasoning after enrolling
- Lessons
- 286
- Duration
- —
- PYQs
- 22
- Practice
- 3763
2% of this course's PYQ weight is covered in this module.
Syllabus index
Lessons in this module
संख्या पद्धति / Number System
गुणनखंड, अभाज्य संख्याएँ और भाजक / Factors, Prime Numbers and Divisors
- [Notes] Short Tricks to Find Number & Product of FactorsPdf
- [Notes] Tricky Important Questions on Finding Product of FactorsPdf
- [Notes] Short Tricks to Find Number of Odd & Even FactorsPdf
- [Notes] Tricks To Find Sum of Factors & Sum of Odd & Even FactorsPdf
- [Notes] Finding those Factors of 'P' which are divisible by 'Q'Pdf
शेषफल पर आधारित प्रश्न / Remainder Problems
इकाई अंक और चक्रीयता / Unit Digit and Cyclicity
Perfect Squares, Perfect Cubes, Power, Square Root and Patterns
Divisibility Rules
Basic Concepts of Divisibility
Divisibility Rules for all Numbers
- [Notes] Divisibility Rules of 2, 3 and 4Pdf
- [Notes] Divisibility Rules of 5, 6 and 7Pdf
- [Notes] Divisibility Rules of 8, 9, 10 and 11Pdf
- [Notes] Divisibility Rules of 11, 12 and 13Pdf
- [Notes] Amazing Short Trick for Divisibility of 7 and 13Pdf
- [Notes] All Divisibility Rules of 13 in a single videoPdf
- [Notes] Divisibility Rules of 14 and 15Pdf
- [Notes] Divisibility Rules of 16Pdf
- [Notes] Divisibility Rules of 17 and 18Pdf
- [Notes] Divisibility Rules of 19Pdf
- [Notes] Divisibility Rules of 20, 21, 22 and 23Pdf
- [Notes] Divisibility Rules of 24, 25 and 26Pdf
- [Notes] Divisibility Rules of 27Pdf
- [Notes] Divisibility Rules of 28, 29, 30 and 31Pdf
- [Notes] Divisibility Rules of 37, 41 and 43Pdf
- [Notes] Short Trick to remember divisibility rules from 11 to 50Pdf
- [Notes] Divisibility Rules of Important Numbers From 31 to 1000Pdf
Mathematics Problems on Divisibility
Properties of Divisibility
Division and Remainder-Based Problems
Multiple Topics
महत्तम समापवर्तक और लघुत्तम समापवर्त्य / HCF and LCM
अभाज्य गुणनखंड और भाग विधि / Prime Factorisation and Division Methods
- [Notes] Tricks for HCF by Inspection, HCF by Prime FactorizationPdf
- [Notes] Trick to find HCF by Long Division MethodPdf
- [Notes] Short Trick to find HCF by minimum difference methodPdf
- [Notes] Short Trick to find HCF by using smallest elementPdf
- [Notes] An Important Property of HCF & LCM + Practice QuestionPdf
- [Notes] How to find HCF Quickly with the help of given optionsPdf
- [Notes] Short Trick to find HCF of Big NumbersPdf
- [Notes] Short Trick to find HCF of more than 2 numbersPdf
- [Notes] Short Trick to find HCF using Co-Prime Numbers ConceptPdf
भिन्नों और दशमलवों का म.स.-ल.स. / HCF and LCM of Fractions and Decimals
Basic Concepts: Factors, Multiples, Prime & Composite Numbers
म.स.-ल.स. के व्यावहारिक प्रश्न / HCF and LCM Word Problems
- [Notes] What is a multiple What is LCM Find LCM by inspectionPdf
- [Notes] Short Trick to Find LCM in just 5 secondsPdf
- [Notes] Short Trick to find LCM using Division methodPdf
- [Notes] Short Trick to find LCM using Prime FactorizationPdf
- [Notes] Short Trick to find LCM using Co-Prime Numbers ConceptPdf
- [Notes] Short Trick to find LCM of more than 2 numbersPdf
- [Notes] Short Trick to find LCM of big numbersPdf
- [Notes] Short Trick to find LCM of 2 numbers when HCF is givenPdf
Multiple Topics
सरलीकरण, घातांक और करणी / Simplification, Indices and Surds
करणी: सरलीकरण, तुलना और परिमेयकरण / Surds: Simplification, Comparison and Rationalisation
Rationalization of Surds
Comparing & Simplifying Complex Powers
Multiple Topics
Arithmetic
Basic Arithmetic
अनुपात और समानुपात / Ratio and Proportion
अनुपात की तुलना और संयुक्त अनुपात / Comparing and Combining Ratios
Types of Ratio
सीधा और व्युत्क्रम विचरण / Direct and Inverse Variation
Basic Concepts & Properties of Proportion
अनुपाती विभाजन / Proportional Division
बदलते अनुपात / Changing Ratios
Multiple Topics
प्रतिशत / Percentage
Basic Concepts, Terminologies & Properties
Conversion Between Fractions (Ratio) & Percentages
- [Notes] Basics of Percentages, Percentage - Fraction ConversionsPdf
- [Notes] Important Property, Trick to find 10 & 1 percent of any numberPdf
- [Notes] Short Tricks to Remember Ratio to Percentage Table Part 1Pdf
- [Notes] Short Tricks to Remember Ratio to Percentage Table Part 2Pdf
- [Notes] Short Tricks to Remember Ratio to Percentage Table Part 3Pdf
- [Notes] Short Tricks to Remember Ratio to Percentage Table Part 4Pdf
- [Notes] Practice Problems on Ratio to Percentage ConversionPdf
- [Notes] Practice Problems on Percentage to Ratio ConversionPdf
- [Notes] Question on Ratio to Percentage ConversionPdf
प्रतिशत की मूल अवधारणा और भिन्न-रूपांतरण / Percentage Basics and Fraction Conversion
लाभ, हानि और बट्टा / Profit, Loss and Discount
Basic Concepts, Formulas and Quick Transformations
क्रय मूल्य, विक्रय मूल्य और लाभ-हानि प्रतिशत / Cost Price, Selling Price and Profit or Loss Percent
Multiple Items and Mixed Rate Problems
कई सौदों पर कुल लाभ या हानि / Overall Profit or Loss on Multiple Transactions
अंकित मूल्य और बट्टा / Marked Price and Discount
Multiple Topics
साधारण और चक्रवृद्धि ब्याज / Simple and Compound Interest
विभाजित निवेश और बदलती दरें / Split Investments and Varying Rates
साधारण ब्याज की गणना / Simple Interest Calculation
- [Notes] Tricks & Questions on money becoming multiple times on SIPdf
- [Notes] Questions on Extra Amount Received on Extra Interest RatePdf
- [Notes] Short Trick for Questions on Variable Rate of InterestPdf
- [Notes] Short Trick for Questions on Difference in SIPdf
- [Notes] Short Trick for Questions on Difference in AmountPdf
- [Notes] Questions on Principal Money Divided into PartsPdf
- [Notes] Simple Interest Important Practice Questions (Set 2)Pdf
किस्तें और ऋण भुगतान / Instalments and Loan Repayment
वार्षिक चक्रवृद्धि ब्याज और ह्रास / Annual Compound Interest and Depreciation
- [Notes] Compound Interest An IntroductionPdf
- [Notes] Compound Interest Formula & Comparison with SIPdf
- [Notes] Short Trick to Find Compound Interest in just 10 SecondsPdf
- [Notes] Compound Interest Basics + Problem Solving (1)Pdf
- [Notes] Compound Interest Basics + Problem Solving (2)Pdf
- [Notes] Compound Interest Basics + Problem Solving (3)Pdf
साधारण और चक्रवृद्धि ब्याज का अंतर / Comparing Simple and Compound Interest
औसत / Average
औसत की मूल अवधारणा और गुणधर्म / Basic Average and Its Properties
क्रमागत संख्याओं और श्रेणियों का औसत / Average of Consecutive Numbers and Series
Average of Arithmetic Series, Squares, and Cubes
सदस्य जुड़ने, हटने या बदलने पर औसत / Change in Average on Joining, Leaving or Replacement
Effect on Average by Arithmetic Operations
संयुक्त और भारित औसत / Combined and Weighted Average
Practical and Contextual Word Problems
समय और कार्य / Time and Work
Basic Concepts of Work & Efficiency
कार्य-दर और दक्षता / Work Rates and Efficiency
Efficiency Ratio and Comparative Work Rate
वैकल्पिक दिनों में कार्य / Work on Alternate Days
समय, चाल और दूरी / Time, Speed and Distance
चाल, दूरी और समय का संबंध / Speed, Distance and Time Relations
चाल परिवर्तन और आगमन समय / Speed Changes and Arrival Times
औसत चाल और यात्रा चरण / Average Speed and Journey Stages
- [Notes] Concept & Short Tricks to calculate AVERAGE SPEED (1)Pdf
- [Notes] Concept & Short Tricks to calculate AVERAGE SPEED (2)Pdf
- [Notes] Concept & Short Tricks to calculate AVERAGE SPEED (3)Pdf
- [Notes] Average - Short Tricks to Find Average SpeedPdf
- [Notes] Important Practice Questions on AVERAGE SPEED (1)Pdf
- [Notes] Important Practice Questions on AVERAGE SPEED (2)Pdf
- [Notes] Important Practice Questions on AVERAGE SPEED (3)Pdf
रेलगाड़ी द्वारा पार करना / Train Crossing
- [Notes] Concept of Relative Speed Required for Problem on TrainsPdf
- [Notes] Case 1_ Train Crossing a stationary pole, signal or manPdf
- [Notes] Case 2_ Train Crossing a Platform, Bridge or TunnelPdf
- [Notes] Case 3_ Two Trains Crossing One Other(Opposite Direction)Pdf
- [Notes] Case 4_ Two Trains Crossing One Other (Same Direction)Pdf
- [Notes] Conventions To Solve Problems on Train + Tricky QuestionsPdf
- [Notes] Short Trick To Solve Problem on StoppagesPdf
- [Notes] Important Question & Short Trick on Train Problems (1)Pdf
- [Notes] Important Question & Short Trick on Train Problems (2)Pdf
- [Notes] Important Question & Short Trick on Train Problems (3)Pdf
धारा के साथ और विरुद्ध नाव / Boats Upstream and Downstream
- [Notes] Basic Concepts, Terminology & Formulas of Boats & StreamsPdf
- [Notes] Solving Basic Level Questions on Boats & StreamsPdf
- [Notes] Short Trick to Solve Round Trip Problem in Boats & StreamPdf
- [Notes] Short Trick to Solve Comparison Problem in Boats & StreamPdf
- Important Questions on Boats & Streams with Short TricksPdf
- [Notes] 20.6Pdf
Algebra
Basic Concepts & Fundamental Operations
Laws & Identities of Algebra
Factorization & Simplification
Linear Equations
Quadratic Equations
Polynomials & Algebraic Expressions
Simplification Based Problems
Multiple Topics
घन क्षेत्रमिति / Solid Mensuration
Basic Concepts and Geometric Terminology
2D Mensuration (Plane Figures)
संयुक्त ठोस और पुनर्ढलाई / Composite Solids and Recasting
आँकड़ा निर्वचन / Data Interpretation
Basic Concepts & Terminologies
तालिका से आँकड़ा निर्वचन / Interpreting Tables
दंड आलेख से आँकड़ा निर्वचन / Interpreting Bar Graphs
वृत्त आलेख से आँकड़ा निर्वचन / Interpreting Pie Charts
रेखा आलेख से आँकड़ा निर्वचन / Interpreting Line Graphs
श्रेणी / Series
Basic Concepts and Terminologies
संख्या श्रेणी / Number Series
- [Notes] All Possible Series that can be formedPdf
- [Notes] Some Important Observations and Short TricksPdf
- [Notes] Series with combinationPdf
- [Notes] Find the next term (Important Questions)Pdf
- [Notes] Important Practice Questions (Part 2)Pdf
- [Notes] Brute Force Short Trick for Tough QuestionsPdf
- [Notes] HOT (Higher Ordered Thinking) QuestionsPdf
अक्षर श्रेणी / Letter Series
सादृश्यता एवं वर्गीकरण / Analogy and Classification
शब्द सादृश्यता / Word Analogy
कूट लेखन एवं कूट वाचन / Coding-Decoding
Basic Concepts, Alphabet–Number Mapping and Base Conversions
अक्षर कूट / Letter Coding
Number Based Coding
Alphabet, Word, Number based Coding (Mixed Patterns)
Symbols based Coding
Language Translation Coding (Chinese Coding) (Sentence Based Coding)
प्रतिस्थापन एवं नाम-परिवर्तन कूट / Substitution and Renaming Coding
Pair, Group, Relationship-Based and Miscellaneous Coding
रक्त संबंध / Blood Relations
दिशा एवं दूरी / Direction and Distance
Basic Concepts, Terminologies and Formulas
क्रम एवं रैंकिंग / Order and Ranking
पंक्ति में स्थान, कुल संख्या एवं अदला-बदली / Position in a Row, Total and Interchange
वेन आरेख, न्याय वाक्य एवं असमानता / Venn Diagrams, Syllogism and Inequalities
वेन आरेख के क्षेत्रों की व्याख्या / Interpreting Regions of a Venn Diagram
Syllogisms
कथन आधारित तार्किक विवेचन / Statement-Based Reasoning
कथन एवं निष्कर्ष / Statement and Conclusions
Statement and Arguement
कथन एवं पूर्वधारणा / Statement and Assumptions
कथन एवं कार्यवाही / Statement and Courses of Action
अशाब्दिक तर्क / Non-Verbal Reasoning
Image Analysis and Rotation Problems
दर्पण प्रतिबिंब / Mirror Images
आकृति वर्गीकरण / Figure Classification
कागज़ एवं पारदर्शी शीट मोड़ना / Paper and Transparent-Sheet Folding
Dot Situation Problems
आकृति श्रेणी / Figure Series
Classification (Odd-One-Out)
निहित आकृतियाँ / Embedded Figures
आकृति आव्यूह / Figure Matrix
Rule Detection (Logical Pattern Rules)
अपूर्ण आकृति की पूर्ति एवं आकृति निर्माण / Figure Completion and Formation
Previous-year questions
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Explore the course
Previous moduleSection 2 | सामान्य ज्ञान एवं समसामयिकी / GK & Current AffairsNext moduleSection 3 | अकार्बनिक एवं समन्वय रसायन / Inorganic & Coordination Chemistry
- Section 1 | हिंदी भाषा — 22 प्रश्न (निश्चित)
- Section 1 | उर्दू भाषा — 22 प्रश्न (निश्चित)
- Section 1 | বাংলা / बांग्ला भाषा — 22 प्रश्न (निश्चित)
- Section 1 | English Language — 8 प्रश्न (निश्चित, अनिवार्य)
- Section 2 | सामान्य विज्ञान / General Science (GS)
- Section 2 | बिहार विशेष / Bihar GK
- Section 2 | सामान्य ज्ञान एवं समसामयिकी / GK & Current Affairs
- Section 3 | अकार्बनिक एवं समन्वय रसायन / Inorganic & Coordination Chemistry
- Section 3 | वैद्युत रसायन, गतिकी एवं पृष्ठ / Electrochemistry, Kinetics & Surfaces
- Section 3 | परमाणु, बंधन एवं पदार्थ / Atomic Structure, Bonding & Matter
- Section 3 | प्राकृतिक उत्पाद, बहुलक एवं संश्लेषण / Natural Products, Polymers & Synthesis
- Section 3 | हाइड्रोकार्बन एवं क्रियात्मक समूह / Hydrocarbons & Functional Groups
- Section 3 | ऊष्मागतिकी एवं साम्य / Thermodynamics & Equilibria
- Section 3 | कार्बनिक संरचना एवं क्रियाविधि / Organic Structure & Mechanisms
- Section 3 | स्पेक्ट्रोस्कोपी, विश्लेषण एवं नाभिकीय रसायन / Spectroscopy, Analysis & Nuclear Chemistry