Concept of Reminders (Part 1)

Duration: 13 min

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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, Sequence and Series (Series), 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 | Digital Logic Systems: Digital Systems & Boolean Basics, Logic Gates & Hardware, Combinational Circuit, Sequential Circuits
  10. Paper-2 | Database Management System: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, Relational Calculus, Relational Algebra, SQL, NoSQL
  11. Paper-2 | Data Structures & Algorithms: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Algorithm Analysis, Sorting Algorithms, Intro to Compilers, Hashing
  12. Paper 2 | Data Communication and Network Security: Introduction to CN, Data Communication, Data Link Layer - Ethernet, DLL: Error Control, Net Layer: IPv4 & Proto, Net Layer: IP Addressing, Application Layer, Hardware basics, Network Security, Ethical Hacking
  13. Paper-2 | Operating Systems: Introduction to OS, Process Management, Memory Management, File Management, Deadlock
  14. Paper-2 | Computer Organization and Architecture: Basics of COA, Floating Point Rep, Cache Memory Organization, Input Output Organisation, Instr Formats & Modes, Control Unit Design, Register Transfer and Microoperations, Programming the Basic Computer, Number System, Number Representation
  15. Paper 2 | System Analysis and Design: Fundamentals of Systems and Information Systems, Fundamentals of Software Engineering, SDLC and Development Approaches, Software Documentation and Software Requirements Specification (SRS), SDD and Quality Assurance, Security, Risk Management & Maintenance, Software Testing
  16. Paper-2 | C Programming: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  17. Paper 2 | OOPS , C++ , JAVA: Language Design, OOPS with C++, Java, .Net Programming, Java Fundamentals
  18. 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
  19. Emerging Trends and AI: Emerging Tech Trends, कंप्यूटर के मूल सिद्धांत / Computer Fundamentals, व्यापार, विपणन एवं उपभोक्ता संरक्षण / Trade, Marketing and Consumer Protection
  20. Paper-2 | Data Processing (Ms-Office): MS Office Applications, कंप्यूटर सॉफ़्टवेयर / Computer Software, ऑपरेटिंग सिस्टम / Operating System, वर्ड प्रोसेसिंग (MS Word) / Word Processing (MS Word), प्रेज़ेंटेशन (MS PowerPoint) / Presentation Software (MS PowerPoint)
  21. Paper-2 | Internet and Web Technologies: HTML Basics, CSS, XML, JavaScript-Basics, Internet Fundamentals, Protocols & Services, Web Publishing & Hosting, Server Side & Security, Emerging Technologies, Terms & Abbreviations, Cyber Threats and Malware Attacks, Role of Internet and Web Services, Security in Mobile and Wireless Computing, साइबर सुरक्षा / Cyber Safety and Security, कंप्यूटर नेटवर्क / Computer Networks
  22. Paper 2 | Pedagogy: वृद्धि और विकास / Growth and Development, विकास के सिद्धांत / Theories of Development, Concept of Pedagogy, समावेशी शिक्षा / Inclusive Education, Experiential Pedagogy, आकलन और मूल्यांकन / Assessment and Evaluation, संज्ञानात्मक प्रक्रियाएँ / Cognitive Processes, समाजीकरण और जेंडर / Socialisation and Gender, National Education Policy (NEP) 2020
  23. Live Classes: RSSB Live Sessions
  24. Paper 1 - Full Mock Tests:
  25. Paper 2 - Full Mock Tests:
  26. BCI Previous Year Papers:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video is a mathematics lecture focused on the concept of remainders in number systems, presented by an instructor named Yash Jain from Knowledge Gate. The video begins with a title slide introducing the topic. It then transitions to a lesson on the 'Concept of Remainders,' using a visual analogy of two dogs sharing bones to explain that 7 divided by 2 equals 3 with a remainder of 1, which is written as 7 ÷ 2 = 3 R1. The core of the video consists of two worked examples. The first problem asks for the remainder when N = 1421 * 1423 * 1425 is divided by 12. The instructor demonstrates a method where each number in the product is divided by 12 to find its remainder (1421 ÷ 12 gives remainder 5, 1423 ÷ 12 gives remainder 7, and 1425 ÷ 12 gives remainder 9), and then the product of these remainders (5 * 7 * 9) is calculated. The final step is to find the remainder of this product when divided by 12, which is 3. The second problem is to find the remainder when P = 1719 * 1721 * 1723 * 1725 * 1727 is divided by 18. The same method is applied: find the remainder of each number when divided by 18 (9, 11, 13, 15, 17), multiply them, and then find the remainder of the product when divided by 18, which is 9. The video concludes with a 'Thank You for Watching' screen.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with a title slide displaying 'NUMBER SYSTEM' in a stylized font against a grey gradient background. This transitions to a colorful presentation slide with the title 'NUMBER SYSTEM' and the subtitle 'The mysterious world of numbers...'. The slide features various mathematical symbols and a red box in the top right corner with the text '- by YASH [KG]'. A picture-in-picture of the instructor, Yash Jain, appears in the bottom right corner. The slide also includes text identifying him as a 'Knowledge Gate Educator' and the content as 'Basic To Advance'. The instructor begins the lecture, introducing the topic of number systems.

  2. 2:00 – 5:00 02:00-05:00

    The video displays a slide titled 'Concept of Remainders'. The instructor uses a visual analogy of two dogs and bones to explain the concept. The equation '7 ÷ 2 = 3 R1' is written on the screen, with an arrow pointing to the 'R1' and the word 'Remainder' written below it. The instructor explains that when 7 is divided by 2, the quotient is 3 and the remainder is 1. He then begins to write the first problem on the screen: 'Q: Let N = 1421 * 1423 * 1425. What is the remainder when N is divided by 12?'. He starts to solve it by writing '1421 ÷ 12' and begins the long division process.

  3. 5:00 – 10:00 05:00-10:00

    The instructor continues solving the first problem. He completes the long division for 1421 ÷ 12, showing that the remainder is 5. He then applies the same process to 1423 ÷ 12, finding a remainder of 7, and 1425 ÷ 12, finding a remainder of 9. He writes the equation '5 * 7 * 9' and calculates the product, which is 315. He then performs the final step: 315 ÷ 12, and shows that the remainder is 3. He circles the final answer, 3, and explains that this is the remainder of the original product N when divided by 12. He then moves to the second problem.

  4. 10:00 – 13:26 10:00-13:26

    The video presents the second problem: 'Q: Consider a number P = 1719 * 1721 * 1723 * 1725 * 1727. Find the remainder when P is divided by 18?'. The instructor begins solving it by finding the remainder of each number when divided by 18. He shows that 1719 ÷ 18 gives a remainder of 9, 1721 ÷ 18 gives 11, 1723 ÷ 18 gives 13, 1725 ÷ 18 gives 15, and 1727 ÷ 18 gives 17. He writes the product of these remainders: '9 * 11 * 13 * 15 * 17'. He then calculates the product step-by-step, first 9 * 11 = 99, then 99 * 13 = 1287, and so on, until he gets the final product. He then divides this large product by 18 to find the remainder, which he calculates to be 9. He circles the answer 9. The video ends with a 'Thank You for Watching' screen.

The video provides a clear, step-by-step tutorial on finding the remainder of a product of numbers when divided by a given divisor. The central method demonstrated is that the remainder of a product is equal to the remainder of the product of the individual remainders. This is a powerful shortcut for problems involving large numbers. The instructor uses a consistent and logical approach: first, find the remainder of each factor when divided by the divisor; second, multiply these remainders together; third, find the remainder of this final product when divided by the divisor. The lecture is structured with a simple analogy to introduce the concept, followed by two progressively more complex examples that reinforce the method. The visual aids, including the use of a digital whiteboard for calculations, make the process easy to follow.

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