Part 1 - Short Tricks to check Divisibility by 7 & 13

Duration: 12 min

This video lesson is available to enrolled students.

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Inside: a video lesson and guided study material.

Module outline

  1. About the Course: About the Course
  2. Section 1 | Language (Hindi): भाषा, लिपि और वर्ण, वर्तनी, वर्ण-विन्यास, अनुस्वार, अनुनासिक, चंद्रबिंदु और ‘र’ के रूप, शब्द, पद और शब्द-भेद, संज्ञा और सर्वनाम, पद-भेद और रूप-विकार, लिंग, वचन, पुरुष और कारक, काल, वाच्य, वाक्य और वाक्य-भेद, संधि, समास, विलोम शब्द, पर्यायवाची शब्द, सामान्य अशुद्धियाँ, अनेक शब्दों के लिए एक शब्द, शब्द-भंडार, अपठित बोध, Multi-Topic Content (Cross-Concept Material), वर्णमाला
  3. Section 1 | Language (उर्दू भाषा — 22 प्रश्न (निश्चित)): رسم الخط، حروفِ تہجی اور املا / Script, Alphabet and Spelling, اسم، ضمیر اور صفت / Nouns, Pronouns and Adjectives, الفاظ، محاورے اور ضرب الامثال / Vocabulary, Idioms and Proverbs, تفہیمِ عبارت، انشا اور ترجمہ / Comprehension, Writing and Translation, Comprehension
  4. Section 1 | Language (বাংলা / बांग्ला भाषा — 22 प्रश्न (निश्चित)): শব্দার্থ, বাগধারা ও ভাষাশুদ্ধি / Meaning, Idioms and Correct Usage, বাক্য ও বাচ্য / Sentences and Voice, শব্দগঠন ও শব্দভান্ডার / Word Formation and Vocabulary, অনুবাদ, বোধপরীক্ষণ ও রচনা / Translation, Comprehension and Composition
  5. Section 1 | Language (English): Vocabulary, Noun, Subject Verb Agreement (Verb Noun Agreement), Adjectives, Verbs and Tenses, Pronoun, Verb, Adverb, Prepositions and Conjunctions, Parts of Speech, Determiner, Conjunction, Modals, Transformation of Sentences, Direct and Indirect Speech, Sentence Correction (Error Correction), Sentence Completion (Fill in the blanks), Sentence Construction, Sentence Structure and Common Errors, Reading Comprehension, Cloze Test (Cloze Passage), Verbal Analogy (Word Based Analogy), Facts, Inference and Judgements
  6. Section 2 | Primary Maths & Reasoning: अनुपात और समानुपात / Ratio and Proportion, Divisibility Rules, मिश्रण और एलिगेशन / Mixture and Alligation, Permutation and Combination, संख्या पद्धति / Number System, महत्तम समापवर्तक और लघुत्तम समापवर्त्य / HCF and LCM, अनुक्रम, श्रेणी और संयोजन / Sequences, Series and Combinatorics, समय, चाल और दूरी / Time, Speed and Distance, श्रेणी / Series, कूट लेखन एवं कूट वाचन / Coding-Decoding, अशाब्दिक तर्क / Non-Verbal Reasoning, प्रतिशत / Percentage, औसत / Average, लाभ, हानि और बट्टा / Profit, Loss and Discount, साधारण और चक्रवृद्धि ब्याज / Simple and Compound Interest, समय और कार्य / Time and Work, घन क्षेत्रमिति / Solid Mensuration, Age Problems, Arithmetic, सरलीकरण, घातांक और करणी / Simplification, Indices and Surds, Algebra, Probability, Trigonometry, Syllogisms, बैठक व्यवस्था एवं पहेलियाँ / Seating Arrangement and Puzzles, रक्त संबंध / Blood Relations, दिशा एवं दूरी / Direction and Distance, Analytical Reasoning (Counting Figures Reasoning), गणितीय संक्रियाएँ एवं लुप्त संख्या / Mathematical Operations and Missing Numbers, कैलेंडर एवं घड़ी / Calendar and Clock, Clock, घन, पासा एवं आकृतियों की गिनती / Cubes, Dice and Figure Counting, वेन आरेख, न्याय वाक्य एवं असमानता / Venn Diagrams, Syllogism and Inequalities, Data Arrangement, Inequality, सादृश्यता एवं वर्गीकरण / Analogy and Classification, क्रम एवं रैंकिंग / Order and Ranking, समुच्चय, संबंध, फलन और विविक्त गणित / Sets, Relations, Functions and Discrete Mathematics, संख्या पद्धति और संख्या सिद्धांत / Number Systems and Number Theory, निर्देशांक ज्यामिति, सदिश और त्रिविमीय ज्यामिति / Coordinate Geometry, Vectors and 3D Geometry, बहुपद, समीकरण और सम्मिश्र संख्याएँ / Polynomials, Equations and Complex Numbers
  7. Section 2 | General Awareness (GK + Current Affairs): Polity, वैज्ञानिक उपलब्धियाँ और अनुसंधान / Scientific Achievements and Research, Biology, राज्य विशेष सामान्य ज्ञान / State-Specific General Knowledge, Chemistry, History, Geography, Indian Economy, Environment, समसामयिकी / Current Affairs, Static General Knowledge
  8. Section 3 | Computer System and Org. (CSO): Basics of COA, Floating Point Rep, Cache Memory Organization, Instr Formats & Modes, Programming the Basic Computer, Input Output Organisation, Register Transfer and Microoperations, Control Unit Design
  9. Section 3 | Database Management System: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, SQL, File Organization & Indexing, Relational Algebra, Relational Calculus, Transaction Management, Concurrency Control
  10. Section 3 | Operating System: Introduction to OS, Process Management, CPU Scheduling, Threads & Process Creation, Memory Management, Virtual Memory, Disc Scheduling, File Management, Process Synchronization
  11. Section 3 | Computer Networks: Introduction to CN, Data Communication, DLL: Access Control, DLL: Flow Control, DLL: Error Control, Data Link Layer - Ethernet, Net Layer: IPv4 & Proto, Net Layer: IP Addressing, Transport Layer Services, TL: Congestion & UDP, Application Layer, Hardware basics
  12. Section 3 | Data Structures: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing, Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Greedy Algorithms, Minimum Spanning Trees, Shortest Path Algos
  13. Section 3 | Theory Of Computation & Compiler Design: Introduction to TOC, Deterministic FA (DFA), Non-Deterministic FA, Regular Expressions, Grammar, Regular Language Properties, Moore & Mealy Machines, Pushdown Automata & CFG, Turing Machines, Intro to Compilers, Lexical Analysis, Grammar & CFG, Syntax Analysis: Top-Down, Syntax Analysis: Bottom-Up, Semantic Analysis & SDT, Intermediate Code Gen, Code Optimization
  14. Section 3 | Emerging Trends (AI, Societal Ethics & MS Office): कंप्यूटर के मूल सिद्धांत / Computer Fundamentals, Emerging Tech Trends, Society, Law & Ethics, MS Office Applications, व्यापार, विपणन एवं उपभोक्ता संरक्षण / Trade, Marketing and Consumer Protection, साइबर सुरक्षा / Cyber Safety and Security, कंप्यूटर सॉफ़्टवेयर / Computer Software, ऑपरेटिंग सिस्टम / Operating System, कंप्यूटर नेटवर्क / Computer Networks, वर्ड प्रोसेसिंग (MS Word) / Word Processing (MS Word), Terms & Abbreviations, प्रेज़ेंटेशन (MS PowerPoint) / Presentation Software (MS PowerPoint)
  15. Section 3 | Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Maintenance and Configuration Management, Software Testing
  16. Section 3 | C Programming: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  17. Section 3 | OOPS, C++, JAVA, HTML: OOPS with C++, Java, HTML Basics, CSS
  18. Section 3 | Java: Java Fundamentals, Array, String, IO & References, OOPS with Java
  19. Section 3 | Python: Introduction to Python, Tokens, Variables, Data Types, I/O, Operators & Expressions, Control Flow & Looping, Collections & Strings, Functions & Modules, File Handling & Data Analysis
  20. Section 3 | Digital Electronics: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation
  21. Section 3 | Multimedia: Multimedia
  22. BPSC Previous Year Papers:
  23. BPSC Full Mock Tests:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video, presented by Yash Jain from Knowledge Gate Eduventures, is a tutorial on divisibility rules for prime numbers, specifically focusing on 7 and 13. The video begins with an introduction to the concepts of LCM (Least Common Multiple) and HCF (Highest Common Factor), using a title card and a classroom-style animation. The main content then transitions to a problem-solving session where the instructor poses the question: "How many of the following numbers are divisible by 7?" The numbers listed are 533, 987, 2996, 532, and 6789. The instructor demonstrates a specific divisibility rule for 7: take the last digit, multiply it by 2, and subtract it from the remaining number. This process is repeated until a small number is obtained, which is then checked for divisibility by 7. The video provides a step-by-step walkthrough for each number, using on-screen calculations to show that 2996 and 532 are divisible by 7, while the others are not. The video concludes by introducing a different rule for divisibility by 13, which involves adding four times the last digit to the remaining number, and demonstrates this rule with the example of 50661. The final frame is a 'Thanks for Watching' message.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with a title card displaying "LCM & HCF" against a digital, data-stream background. It then transitions to a classroom setting with a cartoon teacher and a green chalkboard. The board clearly states "Highest Common Common Factor Factor (HCF)". The instructor, Yash Jain, is visible in a small window in the bottom right corner. The video is branded with the "KG" logo and the name "KNOWLEDGE GATE EDUCATION". This segment establishes the topic of the lecture, which is a foundational concept in mathematics.

  2. 2:00 – 5:00 02:00-05:00

    The video presents a new problem on a yellow background with a pattern of stars and shapes. The on-screen text asks, "Que: How many of the following numbers is divisible by 7 ?" followed by the list of numbers: 533, 987, 2996, 532, 6789. The instructor begins to analyze the first number, 533, by writing a calculation on the screen. He demonstrates the divisibility rule for 7: he takes the last digit (3), multiplies it by 2 (3 x 2 = 6), and subtracts it from the remaining number (53 - 6 = 47). He then checks if 47 is divisible by 7, concluding it is not. This process is repeated for the other numbers.

  3. 5:00 – 10:00 05:00-10:00

    The instructor continues to apply the divisibility rule for 7 to the remaining numbers. For 987, he calculates 98 - (7 x 2) = 98 - 14 = 84, and then 8 - (4 x 2) = 8 - 8 = 0, which is divisible by 7, so 987 is divisible by 7. For 2996, he calculates 299 - (6 x 2) = 299 - 12 = 287, then 28 - (7 x 2) = 28 - 14 = 14, which is divisible by 7, so 2996 is divisible by 7. For 532, he calculates 53 - (2 x 2) = 53 - 4 = 49, which is divisible by 7, so 532 is divisible by 7. For 6789, he calculates 678 - (9 x 2) = 678 - 18 = 660, then 66 - (0 x 2) = 66, which is not divisible by 7. The instructor concludes that three numbers (987, 2996, 532) are divisible by 7.

  4. 10:00 – 12:17 10:00-12:17

    The video transitions to a new topic: divisibility by 13. The on-screen text explains the rule: "Add four times the last digit to the remaining leading truncated number. If the result is divisible by 13, then so was the first number." An example is provided: 50661. The instructor demonstrates the rule: 5066 + (1 x 4) = 5070, then 507 + (0 x 4) = 507, then 50 + (7 x 4) = 50 + 28 = 78, and finally 78 is divisible by 13 (6 x 13 = 78). The video ends with a black screen displaying the text "THANKS FOR WATCHING" in an orange and white box.

The video provides a structured, step-by-step tutorial on applying divisibility rules for prime numbers. It begins by establishing the context of LCM and HCF, then focuses on a practical problem involving divisibility by 7. The instructor clearly explains and demonstrates a specific rule, using on-screen calculations to verify the divisibility of each number in the list. The lesson concludes by introducing a different rule for divisibility by 13, demonstrating its application with a clear example. The progression moves from a general topic to a specific problem, and then to a new, related concept, making it a comprehensive guide for students learning these mathematical shortcuts.

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