Divisibility Rules of 14 and 15

Duration: 5 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. Paper-1 & 2 | Basic Numeracy: अनुपात और समानुपात / Ratio and Proportion, Divisibility Rules, मिश्रण और एलिगेशन / Mixture and Alligation, Permutation and Combination, Logarithm, 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, प्रतिशत / Percentage, औसत / Average, घन क्षेत्रमिति / Solid Mensuration, Age Problems, Arithmetic, Statistics, Probability, लाभ, हानि और बट्टा / Profit, Loss and Discount, साधारण और चक्रवृद्धि ब्याज / Simple and Compound Interest, Partnership, Speed Mathematics and Basic Mathematics, Algebra, सरलीकरण, घातांक और करणी / Simplification, Indices and Surds, समय और कार्य / Time and Work, Pipe and Cistern, RSSB Specific Videos - Basic Numeracy, 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
  3. Paper-1 & 2 | Data Interpretation: आँकड़ा निर्वचन / Data Interpretation
  4. Paper-1 & 2 | General Mental Ability: Mental Ability, RSSB Specific Videos - Mental Ability
  5. Paper-1 & 2 | Logical Reasoning and Analytical Ability: श्रेणी / Series, कूट लेखन एवं कूट वाचन / Coding-Decoding, Data Sufficiency, अशाब्दिक तर्क / Non-Verbal Reasoning, 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, सादृश्यता एवं वर्गीकरण / Analogy and Classification, क्रम एवं रैंकिंग / Order and Ranking, कथन आधारित तार्किक विवेचन / Statement-Based Reasoning, Data Arrangement, वर्णमाला एवं संख्या परीक्षण / Alphabet and Number Test, Crypt Arithmetic
  6. Paper-1 & 2 | Decision Making and Problem Solving: आँकड़ों की पर्याप्तता एवं निर्णय क्षमता / Data Sufficiency and Decision Making
  7. Paper-1 | General Science: वैज्ञानिक उपलब्धियाँ और अनुसंधान / Scientific Achievements and Research, Biology, Chemistry, RSSB Specific Videos
  8. Paper-1 | General Awareness: राज्य विशेष सामान्य ज्ञान / State-Specific General Knowledge, समसामयिकी / Current Affairs
  9. Paper-2 | Fundamentals of Computer: Basics of COA, Number System, Floating Point Rep, Number Representation
  10. Paper - 2 | Digital Logic Systems: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits
  11. Paper-2 | Operating Systems: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Deadlock, Threads & Process Creation, Memory Management, Virtual Memory, Disc Scheduling, File Management, Linux OS, Distributed Systems
  12. Paper-2 | Database Management System: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, Relational Algebra, SQL, Relational Calculus, File Organization & Indexing, Transaction Management, Concurrency Control
  13. Paper-2 | Data Structures: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing
  14. Paper-2 | C Programming: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  15. Paper 2 | Oops, C++, Java: Language Design, OOPS with C++, Java, .Net Programming, Java Fundamentals
  16. Paper 2 | Python: Introduction to Python, Tokens, Variables, Data Types, I/O, Operators & Expressions, Control Flow & Looping, Collections & Strings, Functions & Modules, File Handling & Data Analysis
  17. Paper 2 | Emerging Trends and AI: Emerging Tech Trends, कंप्यूटर के मूल सिद्धांत / Computer Fundamentals, व्यापार, विपणन एवं उपभोक्ता संरक्षण / Trade, Marketing and Consumer Protection, कंप्यूटर नेटवर्क / Computer Networks
  18. Paper-2 | Algorithms: Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Greedy Algorithms, Advanced Algorithms
  19. Paper 2 | Data Communication and Network Security: 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, Net Layer:Routing Protocol, Transport Layer Services, TL: Congestion & UDP, Application Layer, Hardware basics, Network Security, Ethical Hacking
  20. Paper-2 I Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
  21. Paper-2 | Computer Organization and Architecture: Cache Memory Organization, Input Output Organisation, Instr Formats & Modes, Control Unit Design, Register Transfer and Microoperations
  22. Paper-2 | Web Development: JavaScript-Basics, HTML Basics, CSS, XML
  23. Pedagogy: वृद्धि और विकास / Growth and Development, Concept of Pedagogy, संज्ञानात्मक प्रक्रियाएँ / Cognitive Processes, विकास के सिद्धांत / Theories of Development, समावेशी शिक्षा / Inclusive Education, Experiential Pedagogy, समाजीकरण और जेंडर / Socialisation and Gender, National Education Policy (NEP) 2020
  24. Live Sessions: RSSB Live Sessions
  25. RSSB Paper 1 - Full Mock Tests:
  26. RSSB Paper 2 - Full Mock Tests:
  27. SCI Previous Year Papers:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video provides a structured lesson on divisibility rules for the numbers 14 and 15. The presentation begins with a colorful, hand-drawn diagram illustrating various divisibility rules, setting a visual context for the topic. The main content is delivered through a series of digital slides. The first slide explains the divisibility rule for 14, stating that a number is divisible by 14 if it is divisible by both 2 and 7. The instructor demonstrates this by checking if 224 is divisible by 2 and 7, using the standard divisibility tests for each. A second, more complex rule for 14 is then introduced: a number is divisible by 14 if the sum of its last two digits and twice the rest of the number is divisible by 14. This is demonstrated with the examples 364 and 1764. The video then transitions to the divisibility rule for 15, which states that a number is divisible by 15 if it is divisible by both 3 and 5. The instructor uses the number 390 as an example, showing that it is divisible by 5 (ends in 0) and by 3 (sum of digits is 12, which is divisible by 3). The video concludes with a 'Thanks for Watching' screen.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with a title card displaying 'DIVISIBILITY RULES' over a background of scattered numbers. This transitions to a colorful, hand-drawn circular diagram titled 'DIVISIBILITY RULES' that visually organizes various divisibility rules for numbers 2 through 10. The instructor, Yash Jain Sir, appears in a small window in the bottom right corner. The first slide of the presentation is shown, titled 'Divisibility Rule of 14'. The on-screen text states that a number is divisible by 14 if it is divisible by 2 and by 7. An example, 224, is provided. The instructor begins to explain the rule, writing '14 = 2 x 7' on the screen to show the factorization.

  2. 2:00 – 5:00 02:00-05:00

    The instructor continues to explain the divisibility rule for 14. He demonstrates that 224 is divisible by 2 because it is an even number, and he shows the division 224 ÷ 2 = 112. He then checks if 224 is divisible by 7 by performing the division 224 ÷ 7, which results in 32. Since 224 is divisible by both 2 and 7, it is divisible by 14. The instructor then introduces a second rule for 14: 'Add the last two digits to twice the rest. The result must be divisible by 14.' He demonstrates this with the example 364: 3 (the rest) multiplied by 2 is 6, and adding the last two digits (64) gives 70. Since 70 is divisible by 14, 364 is divisible by 14. He repeats this with 1764: 17 (the rest) times 2 is 34, plus 64 gives 98, which is divisible by 14.

  3. 5:00 – 5:25 05:00-05:25

    The video transitions to a new slide titled 'Divisibility Rule of 15'. The on-screen text states that a number is divisible by 15 if it is divisible by 3 and by 5. An example, 390, is given. The instructor explains that 390 is divisible by 5 because it ends in 0. He then checks for divisibility by 3 by summing the digits: 3 + 9 + 0 = 12, and since 12 is divisible by 3, 390 is divisible by 3. Therefore, 390 is divisible by 15. The video concludes with a 'THANKS FOR WATCHING' screen.

The video presents a clear, step-by-step lesson on divisibility rules, using a combination of visual aids and direct instruction. It begins with a general overview of divisibility rules, then focuses on two specific composite numbers, 14 and 15. For each number, the instructor first explains the rule based on its prime factors (e.g., 14 = 2 x 7), providing a foundational understanding. He then introduces a more advanced, direct rule for 14, demonstrating its application with multiple examples. The lesson is structured logically, moving from simpler concepts to more complex ones, and uses clear, worked examples to reinforce the learning. The consistent use of on-screen text and handwritten calculations ensures that the key information is easily accessible to the viewer.

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