Concept of Reminders (Part 1)

Duration: 13 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 / आधारभूत संख्यात्मक योग्यता: Ratio and Proportion / अनुपात और समानुपात, Divisibility Rules / विभाज्यता के नियम, Mixture and Alligation / मिश्रण और एलिगेशन, Permutation and Combination / क्रमचय और संचय, Logarithm / लघुगणक, Number System / संख्या पद्धति, HCF and LCM / महत्तम समापवर्तक और लघुत्तम समापवर्त्य, Sequences, Series and Combinatorics / अनुक्रम, श्रेणी और संयोजन, Time, Speed and Distance / समय, चाल और दूरी, Percentage / प्रतिशत, Average / औसत, Solid Mensuration / घन क्षेत्रमिति, Age Problems / आयु संबंधी प्रश्न, Arithmetic / अंकगणित, Statistics / सांख्यिकी, Probability / प्रायिकता, Profit, Loss and Discount / लाभ, हानि और बट्टा, Simple and Compound Interest / साधारण और चक्रवृद्धि ब्याज, Partnership / साझेदारी, Speed Mathematics and Basic Mathematics / द्रुत गणित और आधारभूत गणित, Algebra / बीजगणित, Simplification, Indices and Surds / सरलीकरण, घातांक और करणी, Time and Work / समय और कार्य, Pipe and Cistern / नल और टंकी, RSSB Specific Videos - Basic Numeracy / RSSB विशेष वीडियो - आधारभूत संख्यात्मक योग्यता, Sets, Relations, Functions and Discrete Mathematics / समुच्चय, संबंध, फलन और विविक्त गणित, Number Systems and Number Theory / संख्या पद्धति और संख्या सिद्धांत, Coordinate Geometry, Vectors and 3D Geometry / निर्देशांक ज्यामिति, सदिश और त्रिविमीय ज्यामिति, Polynomials, Equations and Complex Numbers / बहुपद, समीकरण और सम्मिश्र संख्याएँ
  3. Paper-1 & 2 | Data Interpretation / आँकड़ों की व्याख्या: Data Interpretation / आँकड़ा निर्वचन
  4. Paper-1 & 2 | General Mental Ability / सामान्य मानसिक योग्यता: Mental Ability / मानसिक योग्यता, RSSB Specific Videos - Mental Ability / RSSB विशेष वीडियो - मानसिक योग्यता
  5. Paper-1 & 2 | Logical Reasoning and Analytical Ability / तार्किक तर्कणा एवं विश्लेषणात्मक क्षमता: Series / श्रेणी, Coding-Decoding / कूट लेखन एवं कूट वाचन, Data Sufficiency / आँकड़ों की पर्याप्तता, Non-Verbal Reasoning / अशाब्दिक तर्क, Syllogisms / न्यायवाक्य, Seating Arrangement and Puzzles / बैठक व्यवस्था एवं पहेलियाँ, Blood Relations / रक्त संबंध, Direction and Distance / दिशा एवं दूरी, Analytical Reasoning (Counting Figures Reasoning) / विश्लेषणात्मक तर्क (आकृति गणना तर्क), Mathematical Operations and Missing Numbers / गणितीय संक्रियाएँ एवं लुप्त संख्या, Calendar and Clock / कैलेंडर एवं घड़ी, Clock / घड़ी, Cubes, Dice and Figure Counting / घन, पासा एवं आकृतियों की गिनती, Venn Diagrams, Syllogism and Inequalities / वेन आरेख, न्याय वाक्य एवं असमानता, Analogy and Classification / सादृश्यता एवं वर्गीकरण, Order and Ranking / क्रम एवं रैंकिंग, Statement-Based Reasoning / कथन आधारित तार्किक विवेचन, Data Arrangement / आँकड़ों की व्यवस्था, Alphabet and Number Test / वर्णमाला एवं संख्या परीक्षण, Crypt Arithmetic / कूट अंकगणित
  6. Paper-1 & 2 | Decision Making and Problem Solving / निर्णय लेना एवं समस्या समाधान: Data Sufficiency and Decision Making / आँकड़ों की पर्याप्तता एवं निर्णय क्षमता
  7. Paper-1 | General Science / सामान्य विज्ञान: Scientific Achievements and Research / वैज्ञानिक उपलब्धियाँ और अनुसंधान, Biology / जीव विज्ञान, Chemistry / रसायन विज्ञान, RSSB Specific Videos / RSSB विशेष वीडियो
  8. Paper-1 | General Awareness / सामान्य जागरूकता: State-Specific General Knowledge / राज्य विशेष सामान्य ज्ञान, Current Affairs / समसामयिकी
  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, Computer Fundamentals, Trade, Marketing and Consumer Protection / व्यापार, विपणन एवं उपभोक्ता संरक्षण, Computer Networks, Internet of Things, Cloud Computing
  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 / शिक्षाशास्त्र: Growth and Development / वृद्धि और विकास, Concept of Pedagogy / शिक्षाशास्त्र की संकल्पना, Cognitive Processes / संज्ञानात्मक प्रक्रियाएँ, Theories of Development / विकास के सिद्धांत, Inclusive Education / समावेशी शिक्षा, Experiential Pedagogy / अनुभवात्मक शिक्षाशास्त्र, Socialisation and Gender / समाजीकरण और जेंडर, National Education Policy (NEP) 2020 / राष्ट्रीय शिक्षा नीति (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 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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