Course module
Section 2 | गणित एवं तार्किक क्षमता / Mathematics & Reasoning (GS) — BPSC TRE 4.0 TGT Mathematics (कक्षा 9–10)
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. विषय गणित के साझा topics संबंधित subject modules में हैं। / Shared maths topics remain in the subject modules.
Explore the module outline and lessons below. Enroll free to begin studying here.
Return to /learn/BPSC-TRE-4-SECONDARY-TEACHER-CLASS-9-10-MATHEMATICS/gs-maths-reasoning after enrolling
- Lessons
- 198
- Duration
- —
- PYQs
- 28
- Practice
- 2773
12% of this course's PYQ weight is covered in this module.
Syllabus index
Lessons in this module
Arithmetic
Basic Arithmetic
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
Successive & Combined Ratio Problems
Multiple Topics
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
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)
Multiple Topics
Simple Interest and Compound Interest
Simple Interest - Basic Concepts, Formulas and Terminologies
Simple Interest – Applications
- [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
Installments and Debt-Related Problems
Compound Interest – Core Concepts
- [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
Mixed SI CI and Special Cases
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
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
Speed Time and Distance
Basics, Prerequisites and Unit Conversions
Proportionality and Constant Variable Concepts
Average Speed
- [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
Train Problems
- [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
Boats and Streams
- [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
Data Interpretation
Basic Concepts & Terminologies
Bar Graph
Pie Chart (Pie Graph)
Series (Number and Letter Series) (Numerical Relations and Reasoning)
Basic Concepts and Terminologies
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
Letter or Alphabet Series
Analogy
Basic Concept of Analogy
Coding Decoding
Basic Concepts, Alphabet–Number Mapping and Base Conversions
Word or Alphabet based Coding
Number Based Coding
Alphabet, Word, Number based Coding (Mixed Patterns)
Symbols based Coding
Language Translation Coding (Chinese Coding) (Sentence Based Coding)
Renaming Based Coding (Object Substitution)
Pair, Group, Relationship-Based and Miscellaneous Coding
Blood Relations
Directions (Direction Test)
Basic Concepts, Terminologies and Formulas
Ranking, Order and Sequence
Basic Concepts & Problems
Venn Diagram
Basic Concepts and Terminologies
Syllogisms
Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning)
Statement and Conclusion
Statement and Arguement
Statement and Assumption
Statement and Course of Action
Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning)
Image Analysis and Rotation Problems
Mirror and Water Images
Grouping, Assembling and Shape Construction
Paper Folding and Paper Cutting
Dot Situation Problems
Series & Pattern Recognition (Patterns in 2D) (Symbol Series)
Classification (Odd-One-Out)
Embedded and Hidden Figures
Figure Matrix (Figure Analogy)
Rule Detection (Logical Pattern Rules)
Pattern Completion & Figure Completion
Previous-year questions
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Explore the course
Previous moduleSection 1 | English Language — 8 प्रश्न (निश्चित, अनिवार्य)Next moduleSection 2 | बिहार विशेष / Bihar GK
- 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 | बिहार विशेष / Bihar GK
- Section 2 | सामान्य विज्ञान / General Science (GS)
- Section 2 | सामान्य ज्ञान एवं समसामयिकी / GK & Current Affairs
- Section 3 | ज्यामिति एवं क्षेत्रमिति / Geometry & Mensuration
- Section 3 | बीजगणित, बहुपद एवं अनुक्रम / Algebra, Polynomials & Progressions
- Section 3 | संख्या पद्धति एवं अंकगणित / Number System & Arithmetic
- Section 3 | त्रिकोणमिति एवं लघुगणक / Trigonometry & Logarithms
- Section 3 | सांख्यिकी, प्रायिकता एवं गणित का इतिहास / Statistics, Probability & Mathematical History
- Section 3 | निर्देशांक ज्यामिति / Coordinate Geometry