Find the missing term (Important Questions)

Duration: 11 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
  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 is a comprehensive tutorial on solving number and letter series problems, a common topic in competitive exams. The instructor, Yash Jain, begins by introducing the topic and then systematically works through several distinct types of series. The first example is a number series: 5, 7, 12, 19, 31, 50, ?, where the pattern is identified as the sum of the two preceding numbers (a Fibonacci-like sequence). The second example is a more complex number series: 221, __, 165, 140, 117, 96, where the instructor demonstrates a two-step pattern: the difference between consecutive terms decreases by 2, and the difference itself is a multiple of 29. The third example is a division-based series: 3240, 540, 108, 27, __, 4.5, where each term is obtained by dividing the previous term by a decreasing integer (6, 5, 4, 3, 2). The final example is a letter series: E5, J1, O6, T2, __, where the pattern involves the alphabetical position of the letters (E=5, J=10, O=15, T=20) and the numbers (5, 1, 6, 2), which are derived from the sum of the digits of the letter's position. 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 card for 'NUMBER SERIES & LETTER SERIES'. It then transitions to a slide titled 'NUMBER SERIES - LETTER SERIES' which presents the first problem: 'Find the next Number in this series: 5, 7, 12, 19, 31, 50, ?'. The instructor, Yash Jain, is visible in a small window, and the slide also includes a cartoon character and the text 'Solve This Number Puzzle'. The instructor begins to analyze the series, noting that the difference between the first two terms is 2, and the difference between the second and third is 5, which is 2+3.

  2. 2:00 – 5:00 02:00-05:00

    The video displays a new problem: 'Find the missing term in the given series: 221, __, 165, 140, 117, 96'. The instructor analyzes the differences between the known terms: 165 to 140 is a difference of 25, 140 to 117 is 23, and 117 to 96 is 21. He identifies a pattern where the difference decreases by 2 each time. He then calculates the difference between 221 and the missing term, which should be 27 (25+2), leading to the missing term being 221 - 27 = 194. He verifies this by checking the difference between 194 and 165, which is 29, and confirms the pattern of differences (29, 27, 25, 23, 21) is consistent.

  3. 5:00 – 10:00 05:00-10:00

    The video presents a new series: '3240, 540, 108, 27, __, 4.5'. The instructor analyzes the relationship between consecutive terms. He observes that 3240 divided by 6 equals 540, 540 divided by 5 equals 108, and 108 divided by 4 equals 27. He identifies the pattern as division by a decreasing integer (6, 5, 4). Following this pattern, the next term is 27 divided by 3, which equals 9. He then verifies that 9 divided by 2 equals 4.5, confirming the pattern is correct. The missing term is 9.

  4. 10:00 – 11:22 10:00-11:22

    The final problem is presented: 'Find the next term in the given series: E5, J1, O6, T2, __'. The instructor analyzes the pattern. He notes the letters: E (5th), J (10th), O (15th), T (20th), which are in the sequence of every 5th letter. The numbers are 5, 1, 6, 2. He explains that the numbers are the sum of the digits of the letter's position: E=5, so 5; J=10, so 1+0=1; O=15, so 1+5=6; T=20, so 2+0=2. The next letter is Y (25th), and the sum of its digits is 2+5=7. Therefore, the next term is Y7. The video ends with a 'Thanks for Watching' screen.

The video provides a structured and methodical approach to solving different types of series problems. It begins with a simple additive pattern, progresses to a more complex two-step pattern involving differences, then to a division-based pattern, and concludes with a letter-number combination pattern. The key learning points are to identify the relationship between consecutive terms, whether it's addition, subtraction, multiplication, or division, and to look for patterns in the differences or ratios. For letter series, the instructor emphasizes the importance of converting letters to their alphabetical positions and then applying arithmetic operations to the digits of that position. The video effectively demonstrates a step-by-step problem-solving strategy that can be applied to a wide range of similar questions.

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