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. English Comprehension: Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions), Reading Comprehension, Vocabulary, Idioms and Phrases, Narrative Sequencing, Critical Reasoning
  2. Reasoning and Aptitude: Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Analogy, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Blood Relations, Directions (Direction Test), Ranking, Order and Sequence, Logical Sequence Of Words, Seating Arrangements, Puzzle Solving (Puzzles), Syllogisms, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Data Sufficiency, Selection Decision Table (Decision Making), Calendar, Clock, Cubes & Dices, Data Arrangement, Venn Diagram, Analytical Reasoning (Counting Figures Reasoning), Number System, HCF LCM, Percentage, Ratio and Proportion (Ratios), Average, Profit and Loss, Simple Interest and Compound Interest, Speed Time and Distance, Mensuration and Geometry, Arithmetic, Mixture and Alligation, Age Problems, Data Interpretation, Alphabet and Word Tests, Numerical Reasoning, Number System, Averages, Mixtures and Alligation, Percentages, Series Completion, Analogy and Classification, Patterns in Two-Dimensional Figures, Coding and Decoding, Mathematical Operations, Direction Sense, Logical Deduction and Induction, Simplification and Approximation, Assembling and Grouping of Shapes, Transformation of Shapes, Three-Dimensional Patterns and Visualization, Cubes and Dice, Algebra, Traverse Surveying, Clocks and Calendars, Order, Ranking and Sequence, Constraint Puzzles, Syllogisms and Venn Diagrams, Ratio and Proportion, Mensuration, Permutations and Combinations, Project Monitoring, Resources and Safety, Profit, Loss and Discount, Sequences and Series, Powers, Surds and Logarithms, Subject-Verb Agreement, Sentence Completion, Geometry, Probability, Trigonometry, Measurement and Quantity Take-Off, Statistics, Data Sufficiency, Blood Relations, Speed, Time and Distance, Time and Work, Data Interpretation, Sequence and Series (Series), Algebra, Permutation and Combination, Combinatorics
  3. General Awareness: Physics, Chemistry, Biology, Geography, History, Polity, Indian Economy
  4. Computer Fundamentals: Basics of COA, Number System, Number Representation, Semiconductor Memories and Programmable Logic, Timing, Hazards and Testing, Processor Organization and Instructions, Number Systems and Codes, Combinational Logic Design, Combinational Logic Circuits, Number Systems and Codes
  5. Operating System: Introduction to OS, Unix OS, Linux OS
  6. C Programming: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  7. OOPS with C++ & Java: OOPS with C++, Java
  8. Database Management System: Basics of DBMS, SQL
  9. MS Office: MS Office Applications
  10. Internet & Web Technologies: Website, Browser & Services, Internet Fundamentals, Web Design & Development, Protocols & Services
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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