Leap Year Calendar Repeats after 28 years

Duration: 13 min

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Inside: a video lesson and guided study material.

Module outline

  1. Course Overview: About the Course
  2. Paper - 1 | Unit - 1 | Teaching Aptitude: Nature, Objectives & Characteristics of Teaching, Learners & Learning Process, Factors Affecting Teaching, Methods of Teaching, Teaching-Learning Aids & ICT Integration, Evaluation, Assessment & Measurement
  3. Paper - 1 | Unit - 2 | Research Aptitude: Introduction to Research, Validity & Reliability, Research Paradigms & Types of Research, Research Process Steps, Research Ethics, Writing & Publication
  4. Paper - 1 | Unit - 3 | Comprehension: Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions)
  5. Paper - 1 | Unit - 4 | Communication: Communication Basics, Language and Semiotics, Types of Communication, Communication Models, Mass Communication, Mass Media, Journalism, General Knowledge and General Studies related to Communication
  6. Paper - 1 | Unit - 5 | Mathematical Reasoning and Aptitude: Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Number System, Percentage, Ratio and Proportion (Ratios), Simple Interest and Compound Interest, Speed Time and Distance, Powers and Exponents (Surds and Indices), Profit and Loss, Average, Blood Relations, Directions (Direction Test), Analytical Reasoning (Counting Figures Reasoning), Verbal Analogy (Word Based Analogy), Divisibility Rules, Calendar, Miscellaneous, Time and Work, Algebra
  7. Paper - 1 | Unit - 6 | Logical Reasoning: Syllogisms, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Venn Diagram, School Of Thoughts, Fallacy, Western Logic
  8. Paper - 1 | Unit - 7 | Data Interpretation: Data Interpretation
  9. Paper - 1 | Unit - 8 | Information and Communication Technology: MS Office Applications, Cyber Threats and Malware Attacks, Role of Internet and Web Services, Electronic Data Interchange and E-Commerce, Internet Fundamentals, Web Design & Development, Web Publishing & Hosting, Emerging Technologies, Terms & Abbreviations, Artificial Intelligence, Society, Law & Ethics, Keyboard Shortcuts, Website, Browser & Services
  10. Paper - 1 | Unit - 9 | People Development and Environment: Ecosystem, Biomes & Environmental Issues, MDG & SDG, Air Pollution, Water Pollution, Soil, Noise Pollution and Waste Management, Natural Resources, Energy & Disaster Management, Global Environmental Conventions – COP, Protocols & ISA
  11. Paper - 1 | Unit - 10 | Higher Education System: Vedic Education, Jainism & Buddhism, Ancient Universities, Pre-Independence Commissions, Post-Independence Policy, Higher Education Structure & Accreditation, Universities & Learning Programmes, Types of Education & NEP 2020
  12. Paper 2 | Unit 1 | Discrete Structures and Optimization: Propositional and Predicate Logic, Set Theory, Relations, Functions, Permutation and Combination, Probability, Graph Theory, Group Theory, Digital Systems & Boolean Basics, Boolean Expression, Boolean Minimization, Optimization
  13. Paper 2 | Unit 2 | Computer System Architecture: Logic Gates & Hardware, Combinational Circuit, Sequential Circuits, Number System, Number Representation, Floating Point Rep, Basics of COA, Register Transfer and Microoperations, Programming the Basic Computer, Instr Formats & Modes, Control Unit Design, Pipelining, Input Output Organisation, Cache Memory Organization, Multiprocessors
  14. Paper 2 | Unit 3 | Programming Languages and Computer Graphics: Language Design, C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling, HTML Basics, XML, JavaScript-Basics, Java, Basics of Computer Graphics, 2-D Geometrical Transforms and Viewing, 3-D Object Representation, Geometric Transformations and Viewing, OOPS with C++, Java Fundamentals
  15. Paper 2 | Unit 4 | Database Management Systems: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, File Organization & Indexing, Relational Algebra, SQL, Relational Calculus, Transaction Management, Concurrency Control, Database Recovery, ORDBMS, Database Security & Authorization, Query Processing & Optimization, Enhanced Data Models, Data Warehousing & Mining, Big Data Systems, NoSQL
  16. Paper 2 | Unit 5 | System Software and Operating System: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory, Disc Scheduling, File Management, Windows OS, Linux OS, Security, Distributed Systems, Virtual Machines
  17. Paper 2 | Unit 6 | Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
  18. Paper 2 | Unit 7 | Data Structures and Algorithms: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing, Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Greedy Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos, Advanced Algorithms
  19. Paper 2 | Unit 8 | Theory of Computation and Compilers: Introduction to TOC, Deterministic FA (DFA), Non-Deterministic FA, Regular Expressions, Grammar, Regular Language Properties, Moore & Mealy Machines, Pushdown Automata & CFG, Turing Machines, Complexity Theory, Intro to Compilers, Lexical Analysis, Grammar & CFG, Syntax Analysis: Top-Down, Syntax Analysis: Bottom-Up, Semantic Analysis & SDT, Intermediate Code Gen, Code Optimization, Run Time Environment
  20. Paper 2 | Unit 9 | Data Communication and 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, Hardware basics, Network Security, Mobile Technology, Cloud Computing and IoT, Cloud Computing
  21. Paper 2 | Unit 10 | Artificial Intelligence: Approaches to AI, Search Algorithms, Game Playing, Knowledge Representation, Planning, Multi Agent Systems, Fuzzy Sets, Natural Language Processing, Artificial Neural Networks, Genetic Algorithms
  22. Live Classes: NTA UGC NET 2025 Live Class
  23. Paper 1 | Full Mock Tests:
  24. Paper 2 | Full Mock Tests:
  25. Paper 1 | Previous Year Papers:
  26. Paper 2 | Previous Year Papers:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

The video is a tutorial on solving a logical reasoning problem related to calendar calculations. The instructor presents a question about a person, Taimoor Ali Khan, born on February 29, 2016, which was a Monday. The question asks how many of his birthdays he would celebrate on a Monday if he lived until 2099. The solution involves calculating the day of the week for February 29th in subsequent leap years. The instructor first establishes that a leap year occurs every 4 years, and the day of the week advances by 2 days (since 366 days = 52 weeks + 2 days). He then systematically calculates the day of the week for each leap year from 2020 to 2096, noting that 2096 is a leap year and 2099 is not. The calculation shows that the day of the week for February 29th cycles every 28 years, and the instructor uses this pattern to determine that the birthday falls on a Monday in 2020, 2048, 2076, and 2096. The final answer is 4. The video also includes a brief, unrelated question about the number of days in 'x' weeks, which is answered as 7x. The video is part of a series by 'Knowledge Gate' and is aimed at students preparing for placement exams.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with a title card showing a calendar and the word 'CALENDAR'. It then transitions to a screen with a question about Taimoor Ali Khan's birthday. The question states that he was born on February 29, 2016, which was a Monday, and asks how many birthdays he would celebrate on a Monday if he lived until 2099. The instructor, Yash Jain, begins to explain the problem, noting that the date is February 29th, which only occurs in leap years. He writes '29th Feb 2016 -> Monday' on the screen to establish the starting point.

  2. 2:00 – 5:00 02:00-05:00

    The instructor explains the concept of leap years, stating that a leap year occurs every 4 years. He writes '29th Feb 2020 ->' on the screen and begins to calculate the day of the week for that date. He explains that 2016 to 2020 is a 4-year period, and since a leap year has 366 days, the day of the week advances by 2 days (366 = 52 weeks + 2 days). He writes '2016 -> 2020 -> Monday + 2 days = Wednesday'. He then proceeds to calculate the day for 2024, writing '2020 -> 2024 -> Wednesday + 2 days = Friday'. He continues this pattern, calculating the day of the week for each subsequent leap year.

  3. 5:00 – 10:00 05:00-10:00

    The instructor continues the calculation, writing '2024 -> 2028 -> Friday + 2 days = Sunday', '2028 -> 2032 -> Sunday + 2 days = Tuesday', and so on. He notes that the day of the week advances by 2 days every 4 years. He then calculates the day for 2048, writing '2044 -> 2048 -> Monday + 2 days = Wednesday'. He then calculates the day for 2052, writing '2048 -> 2052 -> Wednesday + 2 days = Friday'. He continues this process, calculating the day for 2056, 2060, 2064, 2068, 2072, 2076, 2080, 2084, 2088, 2092, and 2096. He notes that 2096 is a leap year and 2099 is not, so the last birthday he can celebrate is in 2096.

  4. 10:00 – 12:57 10:00-12:57

    The instructor reviews the calculations and identifies the years when February 29th falls on a Monday. He writes '2016 -> Monday', '2020 -> Wednesday', '2024 -> Friday', '2028 -> Sunday', '2032 -> Tuesday', '2036 -> Thursday', '2040 -> Saturday', '2044 -> Monday', '2048 -> Wednesday', '2052 -> Friday', '2056 -> Sunday', '2060 -> Tuesday', '2064 -> Thursday', '2068 -> Saturday', '2072 -> Monday', '2076 -> Wednesday', '2080 -> Friday', '2084 -> Sunday', '2088 -> Tuesday', '2092 -> Thursday', '2096 -> Saturday'. He then realizes that he made a mistake and corrects it, stating that 2044 is a Monday. He then calculates the next Monday, which is 2076, and the next one, which is 2096. He concludes that the birthdays on Monday are in 2016, 2044, 2076, and 2096, for a total of 4 birthdays. He then briefly answers a second question about the number of days in 'x' weeks, which is 7x.

The video presents a step-by-step solution to a calendar-based logical reasoning problem. The core concept is that the day of the week for a date in a leap year advances by 2 days every 4 years due to the extra day in the leap year. The instructor systematically applies this rule to calculate the day of the week for February 29th in each leap year from 2020 to 2096. By identifying the pattern of the day of the week, he determines that the birthday falls on a Monday in 2016, 2044, 2076, and 2096, resulting in a total of 4 birthdays celebrated on a Monday. The video effectively demonstrates a method for solving such problems by breaking them down into manageable steps and using a clear, visual approach on a digital whiteboard.

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