Short Trick for Breaking Year into Pieces

Duration: 6 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 / आधारभूत संख्यात्मक योग्यता: Ratio and Proportion / अनुपात और समानुपात, Divisibility Rules / विभाज्यता के नियम, Mixture and Alligation / मिश्रण और एलिगेशन, Permutation and Combination / क्रमचय और संचय, Logarithm / लघुगणक, Number System / संख्या पद्धति, HCF and LCM / महत्तम समापवर्तक और लघुत्तम समापवर्त्य, Sequences, Series and Combinatorics / अनुक्रम, श्रेणी और संयोजन, Time, Speed and Distance / समय, चाल और दूरी, Percentage / प्रतिशत, Average / औसत, Solid Mensuration / घन क्षेत्रमिति, Age Problems / आयु संबंधी प्रश्न, Arithmetic / अंकगणित, Statistics / सांख्यिकी, Probability / प्रायिकता, Profit, Loss and Discount / लाभ, हानि और बट्टा, Simple and Compound Interest / साधारण और चक्रवृद्धि ब्याज, Partnership / साझेदारी, Speed Mathematics and Basic Mathematics / द्रुत गणित और आधारभूत गणित, Algebra / बीजगणित, Simplification, Indices and Surds / सरलीकरण, घातांक और करणी, Time and Work / समय और कार्य, Pipe and Cistern / नल और टंकी, RSSB Specific Videos - Basic Numeracy / RSSB विशेष वीडियो - आधारभूत संख्यात्मक योग्यता, Sets, Relations, Functions and Discrete Mathematics / समुच्चय, संबंध, फलन और विविक्त गणित, Number Systems and Number Theory / संख्या पद्धति और संख्या सिद्धांत, Coordinate Geometry, Vectors and 3D Geometry / निर्देशांक ज्यामिति, सदिश और त्रिविमीय ज्यामिति, Polynomials, Equations and Complex Numbers / बहुपद, समीकरण और सम्मिश्र संख्याएँ
  3. Paper-1 & 2 | Data Interpretation / आँकड़ों की व्याख्या: Data Interpretation / आँकड़ा निर्वचन
  4. Paper-1 & 2 | General Mental Ability / सामान्य मानसिक योग्यता: Mental Ability / मानसिक योग्यता, RSSB Specific Videos - Mental Ability / RSSB विशेष वीडियो - मानसिक योग्यता
  5. Paper-1 & 2 | Logical Reasoning and Analytical Ability / तार्किक तर्कणा एवं विश्लेषणात्मक क्षमता: Series / श्रेणी, Coding-Decoding / कूट लेखन एवं कूट वाचन, Data Sufficiency / आँकड़ों की पर्याप्तता, Non-Verbal Reasoning / अशाब्दिक तर्क, Syllogisms / न्यायवाक्य, Seating Arrangement and Puzzles / बैठक व्यवस्था एवं पहेलियाँ, Blood Relations / रक्त संबंध, Direction and Distance / दिशा एवं दूरी, Analytical Reasoning (Counting Figures Reasoning) / विश्लेषणात्मक तर्क (आकृति गणना तर्क), Mathematical Operations and Missing Numbers / गणितीय संक्रियाएँ एवं लुप्त संख्या, Calendar and Clock / कैलेंडर एवं घड़ी, Clock / घड़ी, Cubes, Dice and Figure Counting / घन, पासा एवं आकृतियों की गिनती, Venn Diagrams, Syllogism and Inequalities / वेन आरेख, न्याय वाक्य एवं असमानता, Analogy and Classification / सादृश्यता एवं वर्गीकरण, Order and Ranking / क्रम एवं रैंकिंग, Statement-Based Reasoning / कथन आधारित तार्किक विवेचन, Data Arrangement / आँकड़ों की व्यवस्था, Alphabet and Number Test / वर्णमाला एवं संख्या परीक्षण, Crypt Arithmetic / कूट अंकगणित
  6. Paper-1 & 2 | Decision Making and Problem Solving / निर्णय लेना एवं समस्या समाधान: Data Sufficiency and Decision Making / आँकड़ों की पर्याप्तता एवं निर्णय क्षमता
  7. Paper-1 | General Science / सामान्य विज्ञान: Scientific Achievements and Research / वैज्ञानिक उपलब्धियाँ और अनुसंधान, Biology / जीव विज्ञान, Chemistry / रसायन विज्ञान, RSSB Specific Videos / RSSB विशेष वीडियो
  8. Paper-1 | General Awareness / सामान्य जागरूकता: State-Specific General Knowledge / राज्य विशेष सामान्य ज्ञान, Current Affairs / समसामयिकी
  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, Computer Fundamentals, Trade, Marketing and Consumer Protection / व्यापार, विपणन एवं उपभोक्ता संरक्षण, Computer Networks, Internet of Things, Cloud Computing
  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 / शिक्षाशास्त्र: Growth and Development / वृद्धि और विकास, Concept of Pedagogy / शिक्षाशास्त्र की संकल्पना, Cognitive Processes / संज्ञानात्मक प्रक्रियाएँ, Theories of Development / विकास के सिद्धांत, Inclusive Education / समावेशी शिक्षा, Experiential Pedagogy / अनुभवात्मक शिक्षाशास्त्र, Socialisation and Gender / समाजीकरण और जेंडर, National Education Policy (NEP) 2020 / राष्ट्रीय शिक्षा नीति (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 presents a method for determining the day of the week for a given date, focusing on the technique of breaking down the year into pieces. The instructor, Yash Jain Sir, introduces the concept with a question about the day of the week for March 12, 1922. The core method involves decomposing the year into its constituent parts: the number of centuries, the number of decades, and the remaining years. A table is displayed on the left, providing the number of odd days for different century blocks (e.g., 100 years = 5 odd days, 200 years = 3 odd days, 300 years = 1 odd day, 400 years = 0 odd days). The instructor demonstrates this by breaking 1921 into 1600 + 300 + 21, then calculating the odd days for each segment. This process is repeated for other dates, including July 17, 1863, January 7, 2022, October 22, 2597, October 22, 1198, and October 22, 772, to illustrate the consistent application of the method. The video concludes with a 'Thanks for Watching' screen.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with a title slide for a lesson on 'CONCEPT OF BREAKING YEAR INTO PIECES'. The instructor, Yash Jain Sir, introduces the topic with a question: 'Which day lied on 12th March 1922?'. A table on the left lists the number of odd days for different century blocks: 100 years = 5, 200 years = 3, 300 years = 1, and 400 years = 0. The instructor begins to break down the year 1921 (the year before 1922) into 1600 + 300 + 21, writing '1921 = 1600 + 300 + 21' on the screen. The instructor explains that the number of odd days for 1600 years is 0, as 1600 is a multiple of 400, and the number of odd days for 300 years is 1, as per the table.

  2. 2:00 – 5:00 02:00-05:00

    The instructor continues the calculation for the year 1921. He explains that 21 years consist of 5 leap years and 16 ordinary years, resulting in (5 x 2) + (16 x 1) = 26 odd days. He then calculates 26 mod 7, which equals 5, so 21 years contribute 5 odd days. The total odd days for 1921 are 0 (from 1600) + 1 (from 300) + 5 (from 21) = 6 odd days. The instructor then applies this to the date March 12, 1922, by adding the odd days from the year (6) to the days in the month (12), resulting in 6 + 12 = 18. He calculates 18 mod 7 = 4, which corresponds to Thursday. The instructor then moves to the next example, asking 'Which day lied on 17th July 1863?'. He breaks down 1862 into 1600 + 200 + 62, and calculates the odd days for each segment: 0 for 1600, 3 for 200, and 1 for 62 (since 62 years have 15 leap years and 47 ordinary years, totaling 15*2 + 47*1 = 77 odd days, and 77 mod 7 = 0). The total odd days for 1862 are 0 + 3 + 0 = 3. He then adds the days in July (17) to get 3 + 17 = 20, and 20 mod 7 = 6, which corresponds to Saturday.

  3. 5:00 – 6:06 05:00-06:06

    The instructor proceeds to the next example: 'Which day lied on 7th January 2022?'. He breaks down 2021 into 2000 + 21. He states that 2000 years have 0 odd days (since 2000 is a multiple of 400), and 21 years have 5 odd days (as calculated earlier). The total odd days for 2021 are 0 + 5 = 5. He adds the days in January (7) to get 5 + 7 = 12, and 12 mod 7 = 5, which corresponds to Friday. He then moves to the next example: 'Which day lied on 22nd October 2597?'. He breaks down 2596 into 2400 + 196. He states that 2400 years have 0 odd days (since 2400 is a multiple of 400), and 196 years have 1 odd day (since 196 years have 49 leap years and 147 ordinary years, totaling 49*2 + 147*1 = 245 odd days, and 245 mod 7 = 0). The total odd days for 2596 are 0 + 0 = 0. He adds the days in October (22) to get 0 + 22 = 22, and 22 mod 7 = 1, which corresponds to Monday. The video ends with a 'Thanks for Watching' screen.

The video systematically teaches a method for calculating the day of the week for any given date by breaking the year into manageable pieces. The core concept is the use of 'odd days'—the remainder when the number of days in a period is divided by 7. The method relies on a pre-defined table for the number of odd days in century blocks (100, 200, 300, 400 years). The instructor demonstrates a consistent process: 1) Break the year into a sum of century blocks and a remainder (e.g., 1921 = 1600 + 300 + 21). 2) Use the table to find the odd days for each century block. 3) Calculate the odd days for the remaining years. 4) Sum the odd days from all parts of the year. 5) Add the number of days in the target month. 6) Divide the total by 7 and use the remainder to determine the day of the week. This structured approach is applied to multiple examples, reinforcing the technique.

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