Case 1_ Train Crossing a stationary pole, signal or man

Duration: 19 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. Mathematical Aptitude: संख्या पद्धति / Number System, महत्तम समापवर्तक और लघुत्तम समापवर्त्य / HCF and LCM, Divisibility Rules, प्रतिशत / Percentage, अनुपात और समानुपात / Ratio and Proportion, औसत / Average, लाभ, हानि और बट्टा / Profit, Loss and Discount, समय और कार्य / Time and Work, घन क्षेत्रमिति / Solid Mensuration, साधारण और चक्रवृद्धि ब्याज / Simple and Compound Interest, समय, चाल और दूरी / Time, Speed and Distance, Age Problems, मिश्रण और एलिगेशन / Mixture and Alligation, Algebra, सरलीकरण, घातांक और करणी / Simplification, Indices and Surds, Pipe and Cistern, Trigonometry, Statistics, आँकड़ा निर्वचन / Data Interpretation, Arithmetic, 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. Logical Reasoning: श्रेणी / Series, कूट लेखन एवं कूट वाचन / Coding-Decoding, सादृश्यता एवं वर्गीकरण / Analogy and Classification, रक्त संबंध / Blood Relations, दिशा एवं दूरी / Direction and Distance, क्रम एवं रैंकिंग / Order and Ranking, अशाब्दिक तर्क / Non-Verbal Reasoning, बैठक व्यवस्था एवं पहेलियाँ / Seating Arrangement and Puzzles, Syllogisms, वेन आरेख, न्याय वाक्य एवं असमानता / Venn Diagrams, Syllogism and Inequalities, गणितीय संक्रियाएँ एवं लुप्त संख्या / Mathematical Operations and Missing Numbers, वर्णमाला एवं संख्या परीक्षण / Alphabet and Number Test, कथन आधारित तार्किक विवेचन / Statement-Based Reasoning, Analytical Reasoning (Counting Figures Reasoning), घन, पासा एवं आकृतियों की गिनती / Cubes, Dice and Figure Counting, कैलेंडर एवं घड़ी / Calendar and Clock, Clock
  4. General Knowledge: वैज्ञानिक उपलब्धियाँ और अनुसंधान / Scientific Achievements and Research, Chemistry, Biology, History, Geography, Polity, Indian Economy, समसामयिकी / Current Affairs, Static General Knowledge, राज्य विशेष सामान्य ज्ञान / State-Specific General Knowledge
  5. Art of Teaching: शिक्षण-अधिगम प्रक्रिया एवं कक्षा प्रबंधन / Teaching-Learning Process and Classroom Management, Learners & Learning Process, Factors Affecting Teaching, शिक्षण विधियाँ एवं उपागम / Teaching Methods and Approaches, सूक्ष्म शिक्षण एवं कक्षा संप्रेषण / Microteaching and Classroom Communication, शिक्षण सहायक सामग्री एवं शैक्षिक तकनीकी / Teaching Aids and Educational Technology, आकलन एवं मूल्यांकन / Assessment and Evaluation, शिक्षक: गुण, व्यावसायिक नैतिकता एवं विकास / Teacher: Qualities, Professional Ethics and Development, शैक्षिक नीतियाँ, अधिनियम एवं प्रशासन / Educational Policies, Acts and Administration, पाठ्यचर्या, कला एवं सह-शैक्षिक क्षेत्र / Curriculum, Arts and Co-curricular Areas, निर्देशन एवं परामर्श / Guidance and Counselling, दिव्यांग बच्चों की शिक्षा / Education of Children with Disabilities, Micro-Teaching & Teaching Skills, पाठ योजना / Lesson Planning
  6. Environmental Science: Environment
  7. Unit 1 | Digital Electronics: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation
  8. Unit 2 | COA: 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
  9. Unit 3 | C Programming: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  10. Unit 3 | Data Structures: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing
  11. Unit 4 | Algorithms: Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos, Advanced Algorithms
  12. Unit 5 | Operating System: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory, Disc Scheduling, File Management
  13. Unit 6 | Database Management System: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, File Organization & Indexing, Relational Algebra, SQL, Transaction Management, Concurrency Control
  14. Unit 7 | 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
  15. Unit 8 | Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
  16. Unit 9 | Object Oriented Programming: OOPS with C++
  17. Unit 10 | Web Development: HTML Basics, CSS, JavaScript-Basics, XML, Node.js, Git & Github, PHP
  18. Unit 11 | Theory Of Computation: Introduction to TOC, Deterministic FA (DFA), Non-Deterministic FA, Regular Expressions, Grammar, Regular Language Properties, Moore & Mealy Machines, Pushdown Automata & CFG, Turing Machines
  19. Unit 12 | IoT: Emerging Tech Trends, Cloud Computing, कंप्यूटर नेटवर्क / Computer Networks, Internet of Things
  20. Unit 13 | Artificial Intelligence: Approaches to AI, Search Algorithms, Game Playing, Knowledge Representation, Natural Language Processing, Artificial Neural Networks, Genetic Algorithms
  21. Unit 14 | E-Commerce: Electronic Data Interchange and E-Commerce, Role of Internet and Web Services, Security in Mobile and Wireless Computing, Physical Security and Cryptography Basics, Cyber Safety and Security
  22. Unit 15 | Multimedia: Multimedia
  23. Unit 16 | Python: Introduction to Python, Tokens, Variables, Data Types, I/O, Operators & Expressions, Control Flow & Looping, Collections & Strings, Functions & Modules, File Handling & Data Analysis, DSA using Python
  24. Full Length Mock Tests — General Paper:
  25. Full Length Mock Tests — Computer Science (Paper II):
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video, presented by Yash Jain from Knowledge Gate, serves as a comprehensive introduction to "Problem on Trains" within the broader topic of Time, Speed, and Distance. The lecture begins by establishing the strategic importance of mastering this topic for a wide array of competitive examinations. The instructor displays a slide listing numerous exams, including CAT, XAT, CMAT, SNAP, NMAT, MAT, IIFT, GMAT, GATE, ESE, as well as Placements, Government Exams, Civil Services, Banking, Railway, College Entrance, Air Force (AFCAT), SSC, MHCET, and GRE. He emphasizes that this specific segment of the topic is "easy and scoring," making it a high-yield area for students. The video then transitions into the technical aspects, starting with essential unit conversions between kilometers per hour (kmph) and meters per second (mps). The instructor provides the standard formulas and works through several numerical examples to demonstrate the conversion process. Finally, the lecture applies these concepts to solve specific word problems involving trains crossing poles, calculating time and speed based on given lengths and velocities.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with a title card reading "PROBLEM ON TRAINS" and "Basic To Advance" by Yash Jain. The instructor introduces the topic and displays a slide titled "Why Study This Topic?". This slide lists a comprehensive array of competitive exams such as CAT, XAT, CMAT, SNAP, NMAT, MAT, IIFT, GMAT, GATE, and ESE. It also lists Placements, Government Exams, Civil Services Exams, Banking Exams, Railway Exams, College Entrance Exams, Air Force Exams (AFCAT), SSC, MHCET, and GRE. The instructor points out that "Speed Time & Distance has 2 segments, this segment is easy & scoring." He also notes that it is a "Short & Important Topic, hence scoring topic." The slide has a pink background with rocket and planet doodles.

  2. 2:00 – 5:00 02:00-05:00

    The instructor continues to elaborate on the relevance of the topic. He draws a red bracket around the MBA-related exams (CAT, XAT, CMAT, SNAP, NMAT, MAT, IIFT) and writes "MBA" next to it. He also marks checkmarks next to GMAT, GATE, and ESE. He highlights "Placements" and "Government Exams" with arrows. He specifically mentions that "In Railways Exams & AMCAT oriented exams, you can expect more questions from here." Following this discussion, a short video clip or skit is shown featuring people inside a train compartment, likely to illustrate the context of train problems in a relatable way. The skit shows a group of young men in a train berth.

  3. 5:00 – 10:00 05:00-10:00

    The lesson shifts to "UNIT CONVERSIONS (kmph to mps)". The slide displays the fundamental formulas: $1 ext{ km/hr} = 5/18 ext{ m/s}$ and $1 ext{ m/s} = 18/5 ext{ km/hr}$. The instructor demonstrates these conversions with specific examples written on the screen. He shows that $18 ext{ km/hr}$ converts to $5 ext{ m/s}$, $36 ext{ km/hr}$ converts to $10 ext{ m/s}$, $63 ext{ km/hr}$ converts to $17.5 ext{ m/s}$, and $72 ext{ km/hr}$ converts to $20 ext{ m/s}$. He writes out the calculation steps, such as $63 imes 5/18$, to show how the result is derived. This section focuses on building the necessary mathematical fluency for the upcoming problems. The slide has a geometric background.

  4. 10:00 – 15:00 10:00-15:00

    The instructor begins solving word problems. The first problem is: "Punjab Mail Express of length 80 meters goes to Delhi to visit Baba Ka Dhaba. Find the time taken (in seconds) by Punjab Mail Express to cross a pole if it is travelling with a speed of 80 km/hr?" He writes the formula $S = d/t$ and rearranges it to $t = d/s$. He converts the speed $80 ext{ km/hr}$ to m/s. The second problem is: "Find the time taken (in seconds) by Bundelkhand Express (length 100 meters) to cross a pole if it is travelling with a speed of 100 km/hr?" He solves this, showing the result as $18/5 ext{ sec} = 3.6 ext{ seconds}$. The third problem is: "Grand Trunk Express (120 meters long) crosses an electric pole in 8 seconds. Find the speed of Grand Trunk Express in kmph?" He calculates the speed in m/s as $120/8 = 15 ext{ m/s}$ and then converts it to kmph. The slide background is yellow with confetti.

  5. 15:00 – 18:39 15:00-18:39

    The instructor reviews the first problem again ("Punjab Mail Express..."). He writes $S = ext{distance} / ext{time}$ and mentions "relative speed = sum / time to meet". He seems to be clarifying the distinction between crossing a stationary object (pole) and crossing another moving object. He emphasizes the formula for relative speed. The video concludes with a slide that says "THANKS FOR WATCHING". The instructor wraps up the session, having covered the introduction, importance, unit conversions, and basic problem-solving techniques for train problems.

The video provides a structured and strategic approach to learning "Train Problems." It starts by motivating the student with the high relevance of the topic for various competitive exams, particularly MBA and government entrance tests. The instructor then builds the necessary technical foundation by teaching unit conversions between kmph and mps, a critical skill for these problems. Through a series of worked examples, the instructor demonstrates how to apply these conversions to solve for time and speed when a train crosses a pole. The progression from theoretical importance to practical application ensures that students understand both the value of the topic and the methods required to solve it effectively.

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