Interesting Facts About Perfect Squares & Perfect Cubes

Duration: 12 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, 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 | 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, presented by Yash Jain from Knowledge Gate Eduventures, provides a comprehensive lesson on number systems, focusing on the concepts of multiples and factors. The lecture begins with an introduction to the topic, followed by a detailed explanation of multiples, using the number 2 as a primary example. The instructor demonstrates how to find the multiples of 2 by listing them (2, 4, 6, 8, 10, etc.) and then shows how to identify the factors of a number, such as 4, by breaking it down into its prime factors (2 x 2). The video then transitions to a more complex example, analyzing the number 64, which is a multiple of 2, and its factors. The instructor uses a systematic approach, writing out the powers of 2 (2^1=2, 2^2=4, 2^3=8, 2^4=16, 2^5=32, 2^6=64) to illustrate that 64 is a multiple of 2. The lesson also covers the concept of a number being a multiple of another number, using the example of 64 being a multiple of 2. The video concludes with a summary of the key concepts and a thank you message to the viewers.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with a title slide for a lecture on 'NUMBER SYSTEM' by Yash Jain from Knowledge Gate Eduventures. The instructor, visible in a small window, introduces the topic of 'The mysterious world of numbers' and the concept of 'Basic To Advance' learning. The main content slide appears, titled 'MULTIPLES AND FACTORS', setting the stage for the lesson. The instructor begins by explaining the concept of multiples, using the number 2 as an example, and starts writing the sequence of multiples of 2 on the screen: '2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 100'. He explains that these are all the numbers that can be obtained by multiplying 2 by any whole number.

  2. 2:00 – 5:00 02:00-05:00

    The instructor continues to explain the concept of multiples, writing the sequence '4, 8, 12, 16' on the screen as examples of multiples of 4. He then demonstrates how to find the factors of a number, using 4 as an example. He writes '4 = 2 x 2' and circles the number 2, explaining that 2 is a factor of 4. He then moves to the number 8, writing '8 = 2 x 2 x 2' and circling the number 2, explaining that 2 is a factor of 8. He continues this process for the number 12, writing '12 = 2 x 2 x 3' and circling the number 2, explaining that 2 is a factor of 12. He then moves to the number 16, writing '16 = 2 x 2 x 2 x 2' and circling the number 2, explaining that 2 is a factor of 16. The instructor then introduces the concept of a number being a multiple of another number, using the example of 64 being a multiple of 2.

  3. 5:00 – 10:00 05:00-10:00

    The instructor begins to list the powers of 2, writing '2^1 = 2', '2^2 = 4', '2^3 = 8', '2^4 = 16', '2^5 = 32', '2^6 = 64' on the screen. He explains that 64 is a multiple of 2 because it can be expressed as 2 raised to the power of 6. He then moves to the number 3, writing '3^1 = 3', '3^2 = 9', '3^3 = 27', '3^4 = 81', '3^5 = 243', '3^6 = 729' on the screen. He explains that 243 is a multiple of 3 because it can be expressed as 3 raised to the power of 5. The instructor then discusses the concept of a number being a multiple of another number, using the example of 64 being a multiple of 2. He explains that a number is a multiple of another number if it can be divided by that number without leaving a remainder.

  4. 10:00 – 11:49 10:00-11:49

    The instructor summarizes the key concepts of the lesson, emphasizing the importance of understanding multiples and factors. He reiterates that a multiple of a number is a product of that number and an integer, and a factor of a number is an integer that divides the number without leaving a remainder. He uses the example of 64 being a multiple of 2 and 2 being a factor of 64 to illustrate this point. The video concludes with a thank you message to the viewers, displayed in a red neon sign on a black background.

The video provides a clear and structured lesson on the fundamental concepts of number systems, specifically focusing on multiples and factors. The instructor uses a step-by-step approach, starting with simple examples and gradually moving to more complex ones, to ensure that the concepts are well understood. The use of visual aids, such as writing out the sequences of multiples and the powers of numbers, helps to reinforce the learning. The lesson is well-organized and easy to follow, making it an effective resource for students learning about number systems.

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