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. Mathematical Aptitude / गणितीय अभिक्षमता: Number System / संख्या पद्धति, HCF and LCM / महत्तम समापवर्तक और लघुत्तम समापवर्त्य, Divisibility Rules / विभाज्यता के नियम, Percentage / प्रतिशत, Ratio and Proportion / अनुपात और समानुपात, Average / औसत, Profit, Loss and Discount / लाभ, हानि और बट्टा, Time and Work / समय और कार्य, Solid Mensuration / घन क्षेत्रमिति, Simple and Compound Interest / साधारण और चक्रवृद्धि ब्याज, Time, Speed and Distance / समय, चाल और दूरी, Age Problems / आयु संबंधी प्रश्न, Mixture and Alligation / मिश्रण और एलिगेशन, Algebra / बीजगणित, Simplification, Indices and Surds / सरलीकरण, घातांक और करणी, Pipe and Cistern / नल और टंकी, Trigonometry / त्रिकोणमिति, Statistics / सांख्यिकी, Data Interpretation / आँकड़ा निर्वचन, Arithmetic / अंकगणित, 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. Logical Reasoning / तार्किक तर्कशक्ति: Series / श्रेणी, Coding-Decoding / कूट लेखन एवं कूट वाचन, Analogy and Classification / सादृश्यता एवं वर्गीकरण, Blood Relations / रक्त संबंध, Direction and Distance / दिशा एवं दूरी, Order and Ranking / क्रम एवं रैंकिंग, Non-Verbal Reasoning / अशाब्दिक तर्क, Seating Arrangement and Puzzles / बैठक व्यवस्था एवं पहेलियाँ, Syllogisms / न्यायवाक्य, Venn Diagrams, Syllogism and Inequalities / वेन आरेख, न्याय वाक्य एवं असमानता, Mathematical Operations and Missing Numbers / गणितीय संक्रियाएँ एवं लुप्त संख्या, Alphabet and Number Test / वर्णमाला एवं संख्या परीक्षण, Statement-Based Reasoning / कथन आधारित तार्किक विवेचन, Analytical Reasoning (Counting Figures Reasoning) / विश्लेषणात्मक तर्क (आकृति गणना तर्क), Cubes, Dice and Figure Counting / घन, पासा एवं आकृतियों की गिनती, Calendar and Clock / कैलेंडर एवं घड़ी, Clock / घड़ी
  4. General Knowledge / सामान्य ज्ञान: Scientific Achievements and Research / वैज्ञानिक उपलब्धियाँ और अनुसंधान, Chemistry / रसायन विज्ञान, Biology / जीव विज्ञान, History / इतिहास, Geography / भूगोल, Polity / राजव्यवस्था, Indian Economy / भारतीय अर्थव्यवस्था, Current Affairs / समसामयिकी, Static General Knowledge / स्थैतिक सामान्य ज्ञान, State-Specific General Knowledge / राज्य विशेष सामान्य ज्ञान
  5. Art of Teaching / शिक्षण कला: Teaching-Learning Process and Classroom Management / शिक्षण-अधिगम प्रक्रिया एवं कक्षा प्रबंधन, Learners & Learning Process / अधिगमकर्ता और अधिगम प्रक्रिया, Factors Affecting Teaching / शिक्षण को प्रभावित करने वाले कारक, Teaching Methods and Approaches / शिक्षण विधियाँ एवं उपागम, Microteaching and Classroom Communication / सूक्ष्म शिक्षण एवं कक्षा संप्रेषण, Teaching Aids and Educational Technology / शिक्षण सहायक सामग्री एवं शैक्षिक तकनीकी, Assessment and Evaluation / आकलन एवं मूल्यांकन, Teacher: Qualities, Professional Ethics and Development / शिक्षक: गुण, व्यावसायिक नैतिकता एवं विकास, Educational Policies, Acts and Administration / शैक्षिक नीतियाँ, अधिनियम एवं प्रशासन, Curriculum, Arts and Co-curricular Areas / पाठ्यचर्या, कला एवं सह-शैक्षिक क्षेत्र, Guidance and Counselling / निर्देशन एवं परामर्श, Education of Children with Disabilities / दिव्यांग बच्चों की शिक्षा, Micro-Teaching & Teaching Skills / सूक्ष्म शिक्षण और शिक्षण कौशल, Lesson Planning / पाठ योजना
  6. Environmental Science / पर्यावरण विज्ञान: Environment / पर्यावरण
  7. Unit 1 | Digital Electronics: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation
  8. Unit 2 | COA: 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
  9. Unit 3 | C Programming: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  10. Unit 3 | Data Structures: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing
  11. Unit 4 | Algorithms: Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos, Advanced Algorithms
  12. Unit 5 | Operating System: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory, Disc Scheduling, File Management
  13. Unit 6 | Database Management System: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, File Organization & Indexing, Relational Algebra, SQL, Transaction Management, Concurrency Control
  14. Unit 7 | 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
  15. Unit 8 | Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
  16. Unit 9 | Object Oriented Programming: OOPS with C++
  17. Unit 10 | Web Development: HTML Basics, CSS, JavaScript-Basics, XML, Node.js, Git & Github, PHP
  18. Unit 11 | Theory Of Computation: Introduction to TOC, Deterministic FA (DFA), Non-Deterministic FA, Regular Expressions, Grammar, Regular Language Properties, Moore & Mealy Machines, Pushdown Automata & CFG, Turing Machines
  19. Unit 12 | IoT: Emerging Tech Trends, Cloud Computing, Computer Networks, Internet of Things
  20. Unit 13 | Artificial Intelligence: Approaches to AI, Search Algorithms, Game Playing, Knowledge Representation, Natural Language Processing, Artificial Neural Networks, Genetic Algorithms
  21. Unit 14 | E-Commerce: Electronic Data Interchange and E-Commerce, Role of Internet and Web Services, Security in Mobile and Wireless Computing, Physical Security and Cryptography Basics, Cyber Safety and Security
  22. Unit 15 | Multimedia: Multimedia
  23. Unit 16 | Python: Introduction to Python, Tokens, Variables, Data Types, I/O, Operators & Expressions, Control Flow & Looping, Collections & Strings, Functions & Modules, File Handling & Data Analysis, DSA using Python
  24. Full Length Mock Tests — General Paper:
  25. Full Length Mock Tests — Computer Science (Paper II):
  26. Full Length Mock Test – General + Computer Science:
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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