Interesting Facts About Perfect Squares & Perfect Cubes

Duration: 12 min

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Module outline

  1. About the course: About the Course
  2. General Knowledge: Polity, Physics, Biology, State Wise GK, Chemistry, History, Geography, GK- Current Affairs, Indian Economy, Static General Knowledge, Environment, Evolution of Indian Banking (Banking & Financial Awareness)
  3. Mental Aptitude and Reasoning: Ratio and Proportion (Ratios), Divisibility Rules, Data Interpretation, Permutation and Combination, Number System, 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), Vocabulary, Profit and Loss, Arithmetic, Mental Ability, Percentage, Algebra, Mensuration and Geometry, Age Problems, Clock, Calendar, Verbal Analogy (Word Based Analogy), Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Analogy, Analytical Reasoning (Counting Figures Reasoning), Puzzle Solving (Puzzles), Selection Decision Table (Decision Making), Cubes & Dices, Blood Relations, Venn Diagram, Logical Sequence Of Words, Inequality, Directions (Direction Test), Data Arrangement, Facts, Inference and Judgements, Syllogisms, Seating Arrangements, Ranking, Order and Sequence
  4. CS | Computer Fundamentals: Basics of COA, Number System, Number Representation, C Fundamentals, Algorithm Analysis, Input Output Organisation
  5. CS | Database Management System: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, SQL
  6. CS | Workplace productivity Tools: MS Office Applications, Keyboard Shortcuts
  7. CS | Computer Networks: Introduction to CN, Data Communication, Data Link Layer - Ethernet, Net Layer: IPv4 & Proto, Net Layer: IP Addressing, Transport Layer Services, Application Layer, Hardware Basics, Network Security
  8. CS | The Internet: Website, Browser & Services, Internet Fundamentals, Web Design & Development, Web Publishing & Hosting, Server Side & Security, Emerging Technologies
  9. CS | Emerging Technologies: Artificial Intelligence, Emerging Tech Trends, Introduction to OS, Windows OS, Linux OS, Unix OS, JavaScript-Basics
  10. CS | Boolean algebra: Digital Systems & Boolean Basics, Boolean Expression, Boolean Minimization, Logic Gates & Hardware
  11. CS | Data Structures: Introduction to DS, Array, Stack, Queue
  12. CS | Cryptography: Society, Law & Ethics, Cyber Threats and Malware Attacks, Role of Internet and Web Services, Security in Mobile and Wireless Computing, Electronic Data Interchange and E-Commerce, Physical Security and Cryptography Basics, Intrusion Detection Systems (IDS), Cyber Safety and Security
  13. UP Police Previous Year Papers:
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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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