Leap Year Concepts & Tricks

Duration: 7 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 | Digital Logic Systems: Digital Systems & Boolean Basics, Logic Gates & Hardware, Combinational Circuit, Sequential Circuits
  10. Paper-2 | Database Management System: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, Relational Calculus, Relational Algebra, SQL, NoSQL
  11. Paper-2 | Data Structures & Algorithms: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Algorithm Analysis, Sorting Algorithms, Intro to Compilers, Hashing
  12. Paper 2 | Data Communication and Network Security: Introduction to CN, Data Communication, Data Link Layer - Ethernet, DLL: Error Control, Net Layer: IPv4 & Proto, Net Layer: IP Addressing, Application Layer, Hardware basics, Network Security, Ethical Hacking
  13. Paper-2 | Operating Systems: Introduction to OS, Process Management, Memory Management, File Management, Deadlock
  14. Paper-2 | Computer Organization and Architecture: 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, Number System, Number Representation
  15. Paper 2 | System Analysis and Design: Fundamentals of Systems and Information Systems, Fundamentals of Software Engineering, SDLC and Development Approaches, Software Documentation and Software Requirements Specification (SRS), SDD and Quality Assurance, Security, Risk Management & Maintenance, Software Testing
  16. Paper-2 | C Programming: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  17. Paper 2 | OOPS , C++ , JAVA: Language Design, OOPS with C++, Java, .Net Programming, Java Fundamentals
  18. 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
  19. Emerging Trends and AI: Emerging Tech Trends, कंप्यूटर के मूल सिद्धांत / Computer Fundamentals, व्यापार, विपणन एवं उपभोक्ता संरक्षण / Trade, Marketing and Consumer Protection
  20. Paper-2 | Data Processing (Ms-Office): MS Office Applications, कंप्यूटर सॉफ़्टवेयर / Computer Software, ऑपरेटिंग सिस्टम / Operating System, वर्ड प्रोसेसिंग (MS Word) / Word Processing (MS Word), प्रेज़ेंटेशन (MS PowerPoint) / Presentation Software (MS PowerPoint)
  21. Paper-2 | Internet and Web Technologies: HTML Basics, CSS, XML, JavaScript-Basics, Internet Fundamentals, Protocols & Services, Web Publishing & Hosting, Server Side & Security, Emerging Technologies, Terms & Abbreviations, Cyber Threats and Malware Attacks, Role of Internet and Web Services, Security in Mobile and Wireless Computing, साइबर सुरक्षा / Cyber Safety and Security, कंप्यूटर नेटवर्क / Computer Networks
  22. Paper 2 | Pedagogy: वृद्धि और विकास / Growth and Development, विकास के सिद्धांत / Theories of Development, Concept of Pedagogy, समावेशी शिक्षा / Inclusive Education, Experiential Pedagogy, आकलन और मूल्यांकन / Assessment and Evaluation, संज्ञानात्मक प्रक्रियाएँ / Cognitive Processes, समाजीकरण और जेंडर / Socialisation and Gender, National Education Policy (NEP) 2020
  23. Live Classes: RSSB Live Sessions
  24. Paper 1 - Full Mock Tests:
  25. Paper 2 - Full Mock Tests:
  26. BCI Previous Year Papers:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This video is a tutorial on solving aptitude problems related to finding the day of the week for a given date, with a focus on the concepts of leap years and odd days. The instructor, Yash Jain, begins by introducing the topic as Part 4 of a series, emphasizing the importance of connecting concepts to real-life examples. The core of the lesson is a detailed explanation of the 'odd days' method, which is used to calculate the day of the week. The video presents a table that correlates centuries (e.g., 100, 200, 300) with the number of odd days they contribute (e.g., 5, 3, 1, 0). The instructor then demonstrates how to calculate the number of leap years and odd days for a given year, using examples like 100, 200, and 400. The method involves dividing the year by 4 to find leap years, then adjusting for the century rule (e.g., 100, 200, 300 are not leap years, but 400 is). The final part of the video revisits the concept of odd days, showing how to sum the odd days from the century, the number of leap years, and the remaining days to find the total odd days, which is then used to determine the day of the week. The video concludes with a thank you message.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with a title slide for 'Part-4' of a series on 'Finding Day on a particular Date'. The instructor, Yash Jain, is introduced as a 'Knowledge Gate Educator'. The slide also mentions that the video will cover 'Some complex cases, concept of leap year and odd days revisited'. A viewer's positive comment is displayed at the top, praising the series for its concise and real-life connected teaching style. The instructor is visible in a small window in the bottom right corner, beginning his lecture.

  2. 2:00 – 5:00 02:00-05:00

    The instructor begins explaining the 'LEAP YEAR CONCEPT REVISITED'. A table is displayed on the left, showing the number of odd days for different centuries: 100 years have 5 odd days, 200 have 3, 300 have 1, and 400 have 0. The instructor explains the rule for leap years: a year divisible by 4 is a leap year, but a century year (like 100, 200) is not a leap year unless it is divisible by 400. He demonstrates this by writing '4/4 -> 4 years -> 1' and '8/4 -> 8 years -> 2', showing that every 4 years adds 1 odd day. He then applies this to 100 years, calculating 100/4 = 25, but since 100 is a century year not divisible by 400, it is not a leap year, so he subtracts 1, resulting in 24 leap years and 76 ordinary years.

  3. 5:00 – 7:20 05:00-07:20

    The instructor continues the calculation for 100 years, stating that 24 leap years contribute 24 odd days and 76 ordinary years contribute 76 odd days, totaling 100 odd days. He then explains that 100 divided by 7 gives a remainder of 2, so there are 2 odd days in 100 years. He then moves to 200 years, calculating 200/4 = 50, but subtracting 1 for the century rule, resulting in 48 leap years and 152 ordinary years, totaling 200 odd days, which gives a remainder of 4 when divided by 7. The video then transitions to the 'CONCEPT OF ODD DAYS REVISITED', where he demonstrates the calculation for 400 years, showing that 400/4 = 100, but since 400 is divisible by 400, it is a leap year, so there are 100 leap years and 300 ordinary years, totaling 400 odd days, which gives a remainder of 0 when divided by 7.

The video provides a structured and methodical approach to solving complex calendar problems. It begins by establishing the foundational concept of 'odd days' and the rules for leap years, using a clear table to illustrate the pattern for centuries. The instructor then applies this knowledge through a step-by-step calculation, demonstrating how to account for the century rule and sum the odd days from leap and ordinary years. The progression from simple examples (100 years) to more complex ones (400 years) effectively builds the student's understanding of the method, culminating in a clear, repeatable process for determining the day of the week for any given date.

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