Course module

गणित एवं तार्किक क्षमता / Mathematics & Reasoning (GS) — BPSC TRE 4.0 Senior Secondary Teacher (Class 11–12) English 2026

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.

Explore the module outline and lessons below. Enroll free to begin studying here.

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Lessons
286
Duration
—
PYQs
14
Practice
3696

5% of this course's PYQ weight is covered in this module.

Syllabus index

Lessons in this module

Number System

Divisibility Rules

Divisibility Rules for all Numbers

  1. [Notes] Divisibility Rules of 2, 3 and 4Pdf
  2. [Notes] Divisibility Rules of 5, 6 and 7Pdf
  3. [Notes] Divisibility Rules of 8, 9, 10 and 11Pdf
  4. [Notes] Divisibility Rules of 11, 12 and 13Pdf
  5. [Notes] Amazing Short Trick for Divisibility of 7 and 13Pdf
  6. [Notes] All Divisibility Rules of 13 in a single videoPdf
  7. [Notes] Divisibility Rules of 14 and 15Pdf
  8. [Notes] Divisibility Rules of 16Pdf
  9. [Notes] Divisibility Rules of 17 and 18Pdf
  10. [Notes] Divisibility Rules of 19Pdf
  11. [Notes] Divisibility Rules of 20, 21, 22 and 23Pdf
  12. [Notes] Divisibility Rules of 24, 25 and 26Pdf
  13. [Notes] Divisibility Rules of 27Pdf
  14. [Notes] Divisibility Rules of 28, 29, 30 and 31Pdf
  15. [Notes] Divisibility Rules of 37, 41 and 43Pdf
  16. [Notes] Short Trick to remember divisibility rules from 11 to 50Pdf
  17. [Notes] Divisibility Rules of Important Numbers From 31 to 1000Pdf

Properties of Divisibility

  1. [Notes] Properties of DivisibilityPdf

HCF LCM

Powers and Exponents (Surds and Indices)

Rationalization of Surds

  1. [Notes] Surds and Indices Part 3Pdf

Comparing & Simplifying Complex Powers

  1. [Notes] Surds and Indices Part 4Pdf

Arithmetic

Ratio and Proportion (Ratios)

Percentage

Profit and Loss

Simple Interest and Compound Interest

Installments and Debt-Related Problems

  1. [Notes] Short Trick to solve Debt Related ProblemsPdf

Average

Average of Arithmetic Series, Squares, and Cubes

  1. [Notes] Average of Arithmetic Series, Squares, CubesPdf

Effect on Average by Arithmetic Operations

  1. [Notes] Effect on Average by Arithmetic OperationsPdf

Weighted Average, Combined / Mixture Average Problems

  1. [Notes] Weighted Average - Concept & Short TricksPdf

Time and Work

Individual Work and Combined Work Problems

  1. [Notes] Short Tricks for Alone & Combined WorkPdf

Efficiency Ratio and Comparative Work Rate

  1. [Notes] Tricks for Comparision Based QuestionsPdf

Speed Time and Distance

Proportionality and Constant Variable Concepts

  1. [Notes] What happens when Speed or Distance or Time is constantPdf

Algebra

Factorization & Simplification

  1. [Notes] Some Example QuestionsPdf

Mensuration and Geometry

Basic Concepts and Geometric Terminology

  1. [Notes] Triangle & Circle, Basic Concepts & FormulasPdf

3D Mensuration (Solid Figures)

  1. [Notes] 3D Geometry - Part 1Pdf

Data Interpretation

Series (Number and Letter Series) (Numerical Relations and Reasoning)

Analogy

Basic Concept of Analogy

  1. [Notes] AnalogyPdf

Coding Decoding

Language Translation Coding (Chinese Coding) (Sentence Based Coding)

  1. [Notes] Type 5.1 Important Practice QuestionsPdf
  2. [Notes] Type 5.2 Important Practice QuestionsPdf

Pair, Group, Relationship-Based and Miscellaneous Coding

  1. [Notes] Some Important Miscellaneous ProblemsPdf

Blood Relations

Directions (Direction Test)

Ranking, Order and Sequence

Venn Diagram

Basic Concepts and Terminologies

  1. [Notes] Concepts, Short Tricks & QuestionsPdf

Syllogisms

Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning)

Statement and Arguement

  1. [Notes] Statement & ArgumentPdf

Statement and Assumption

  1. [Notes] Statement & AssumptionPdf

Statement and Course of Action

  1. [Notes] Statement & Course of ActionPdf

Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning)

Image Analysis and Rotation Problems

  1. [Notes] Image AnalysisPdf

Grouping, Assembling and Shape Construction

  1. [Notes] Group of ImagesPdf
  2. [Notes] Shape ConstructionPdf

Dot Situation Problems

  1. [Notes] Dot SituationPdf

Series & Pattern Recognition (Patterns in 2D) (Symbol Series)

  1. [Notes] SeriesPdf

Classification (Odd-One-Out)

  1. [Notes] ClassificationPdf

Embedded and Hidden Figures

  1. [Notes] Embedded ImagesPdf

Figure Matrix (Figure Analogy)

  1. [Notes] Figure MatrixPdf

Rule Detection (Logical Pattern Rules)

  1. [Notes] Rule DetectionPdf

Pattern Completion & Figure Completion

  1. [Notes] Pattern CompletionPdf

Previous-year questions

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