Divisibility Rules of 27

Duration: 8 min

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Inside: a video lesson and guided study material.

Module outline

  1. About Course: About the Course
  2. Paper 2 | Digital Logic: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation, Floating Point Rep
  3. Paper 2 | Computer Organization And Architecture: Basics of COA, Cache Memory Organization, Input Output Organisation, Pipelining, Control Unit Design, Instr Formats & Modes, Programming the Basic Computer
  4. Paper 2 | Analog And Digital Communication: Introduction to Communication Systems & Random Signals, Analog Communication Systems, Information Theory & Digital Communication Fundamentals, Digital Modulation & Detection Techniques, Error Control, Synchronization & Multiple Access Techniques
  5. Paper 2 | Programming in C: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  6. Paper 2 | Data Structures And Programming: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing, Java, OOPS with C++, Java Fundamentals, Array, String, IO & References
  7. Paper 2 | Algorithms: Algorithm Analysis, Sorting Algorithms, Time Complexity Analysis, Greedy Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos
  8. Paper 2 | Compiler Design: Intro to Compilers, Lexical Analysis, Grammar & CFG, Syntax Analysis: Top-Down, Syntax Analysis: Bottom-Up, Semantic Analysis & SDT, Intermediate Code Gen, Code Optimization, Run Time Environment
  9. Paper 2 | Operating System: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory, Disc Scheduling, File Management, Unix OS, Linux OS
  10. Paper 2 | Databases: 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
  11. Paper 2 | Information Systems and Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
  12. Paper 2 | Computer Networks: Introduction to CN, Data Communication, DLL: Access Control, DLL: Flow Control, DLL: Error Control, DLL: Framing, 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
  13. Paper 2 | Internet & Web Technologies: Website, Browser & Services, Internet Fundamentals, Web Design & Development, Protocols & Services, Web Publishing & Hosting, Server Side & Security, Emerging Technologies, HTML Basics, JavaScript-Basics, CSS, XML, HTML5
  14. Paper 2 | Cyber Security And Emerging Technologies: Emerging Tech Trends, Internet of Things
  15. Paper 2 | Cloud Technology: Cloud Computing
  16. Paper 2 | Probability and statistics: Probability, Statistics
  17. Paper-1 English: Vocabulary, Preposition, Articles, Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions), Sentence Re-arrangements (Para Jumbles) (Narrative Sequencing), Sentence Correction (Error Correction), Sentence Completion (Fill in the blanks), Cloze Test (Cloze Passage), Sentence Construction
  18. Paper 1 General Mental Ability & Logical reasoning: Ratio and Proportion (Ratios), Divisibility Rules, Data Interpretation, Mixture and Alligation, Permutation and Combination, Logarithm, Number System, HCF LCM, Sequence and Series (Series), Speed Time and Distance, Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Data Sufficiency, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Percentage, Average, Powers and Exponents (Surds and Indices), Algebra, Profit and Loss, Simple Interest and Compound Interest, Time and Work, Pipe and Cistern, Mensuration and Geometry, Mental Ability, Age Problems, Partnership, Arithmetic, Speed Mathematics and Basic Mathematics, Syllogisms, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Seating Arrangements, Blood Relations, Directions (Direction Test), Analytical Reasoning (Counting Figures Reasoning), Puzzle Solving (Puzzles), Calendar, Clock, Cubes & Dices, Selection Decision Table (Decision Making), Logical Sequence Of Words, Venn Diagram, Analogy
  19. Paper-1 General Knowledge & Current Affairs: State Wise GK, History, Geography, GK- Current Affairs, Static General Knowledge
  20. Full Length Mock Test:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video, presented by Yash Jain Sir from Knowledge Gate Eduventures, provides a comprehensive lesson on divisibility rules for the number 27. The video begins with an introductory title card and a colorful, circular diagram summarizing various divisibility rules. The main content focuses on three distinct methods for testing divisibility by 27. The first method, demonstrated with the number 621, involves subtracting 8 times the last digit from the rest of the number (62 - 1×8 = 54). The second method, shown with 2,644,272, requires summing the digits in blocks of three from right to left (2 + 644 + 272 = 918). The third method, illustrated with 6507, involves subtracting the last two digits from 8 times the rest of the number (65×8 - 7 = 513). The instructor uses a digital whiteboard to write out the calculations step-by-step, and 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. It then transitions to a colorful, circular diagram titled 'DIVISIBILITY RULES' which visually presents rules for divisibility by numbers 2 through 10. The instructor, Yash Jain Sir, appears in a small window in the bottom right corner, introducing the topic. The on-screen text identifies him as 'YASH JAIN SIR' and the channel as 'KNOWLEDGE GATE EDUCATOR'. The diagram includes rules such as '2 (is an even number)', '3 (the sum of the digits is divisible by 3)', and '10 (ends in 0)'. This segment sets the stage for the lesson by providing a broad overview of divisibility concepts.

  2. 2:00 – 5:00 02:00-05:00

    The video focuses on the first divisibility rule for 27. The on-screen text clearly states: 'Divisibility Rule of 27: Subtract 8 times the last digit from the rest.' An example is provided: 'Example: 621: 62 - 1 × 8 = 54.' The instructor uses a digital pen to write out the calculation on the whiteboard, showing '621' and then '62 - 1 × 8 = 54'. He further breaks down the multiplication '1 × 8 = 8' and the subtraction '62 - 8 = 54'. The final result, 54, is circled, and the instructor explains that if the resulting number is divisible by 27, then the original number is also divisible by 27. The copyright notice for 'KNOWLEDGE GATE EDUVENTURES' is visible at the bottom of the screen.

  3. 5:00 – 8:11 05:00-08:11

    The video presents a second divisibility rule for 27. The on-screen text reads: 'Divisibility Rule of 27: Sum the digits in blocks of three from right to left.' The example given is '2,644,272: 2 + 644 + 272 = 918.' The instructor demonstrates this by writing the number '2,644,272' and then breaking it into blocks of three from the right: '272', '644', and '2'. He then adds them: '2 + 644 + 272 = 918'. The video then transitions to a third rule: 'Divisibility Rule of 27: Subtract the last two digits from 8 times the rest.' The example is '6507: 65 × 8 - 7 = 520 - 7 = 513 = 27 × 19.' The instructor writes '6507', identifies the rest as '65' and the last two digits as '07', and performs the calculation '65 × 8 = 520', then '520 - 7 = 513'. The video concludes with a 'THANKS FOR WATCHING' screen.

The video systematically teaches three different methods to determine if a number is divisible by 27. It begins with a general overview of divisibility rules, then drills down into specific, non-standard rules for 27. The first method uses a subtraction rule based on the last digit, the second uses a summation rule based on blocks of three digits, and the third uses a subtraction rule based on the last two digits. The instructor uses clear, step-by-step demonstrations on a digital whiteboard, making the complex rules accessible. The progression from a general concept to specific, detailed methods provides a comprehensive learning experience.

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