All Possible Series that can be formed

Duration: 11 min

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Inside: a video lesson and guided study material.

Module outline

  1. Quantitative Aptitude: Number System, Divisibility Rules, HCF LCM, Percentage, Ratio and Proportion (Ratios), Average, Profit and Loss, Simple Interest and Compound Interest, Mixture and Alligation, Partnership, Age Problems, Time and Work, Pipe and Cistern, Speed Time and Distance, Algebra, Arithmetic, Data Interpretation, Sequence and Series (Series), Logarithm, Powers and Exponents (Surds and Indices), Permutation and Combination, Probability, Speed Mathematics and Basic Mathematics, Trigonometry
  2. Logical Reasoning: Coding Decoding, Blood Relations, Directions (Direction Test), Ranking, Order and Sequence, Seating Arrangements, Puzzle Solving (Puzzles), Data Arrangement, Syllogisms, Inequality, Data Sufficiency, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Series (Number and Letter Series) (Numerical Relations and Reasoning), Venn Diagram, Logical Sequence Of Words, Calendar, Clock, Cubes & Dices, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning)
  3. Verbal Ability: Noun, Pronoun, Adjectives, Verb, Adverb, Tenses, Subject Verb Agreement (Verb Noun Agreement), Articles, Preposition, Conjunction, Modals, Determiner, Vocabulary, Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions), Cloze Test (Cloze Passage), Sentence Correction (Error Correction), Sentence Completion (Fill in the blanks), Sentence Re-arrangements (Para Jumbles) (Narrative Sequencing), Active Passive Voice (Voice), Direct and Indirect Speech, Sentence Construction
  4. Data Structures (Domain Test): Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing
  5. Algorithms (Domain Test): Algorithm Analysis, Sorting Algorithms, Time Complexity Analysis, Greedy Algorithms
  6. OOPs (Domain Test): Object Oriented Programming (OOPS)
  7. DBMS (Domain Test): Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, File Organization & Indexing, Relational Algebra, Relational Calculus, Transaction Management, Concurrency Control, Database Recovery, ORDBMS, Database Security & Authorization, Query Processing & Optimization, Enhanced Data Models, Data Warehousing & Mining, Big Data Systems, NoSQL
  8. SQL (Domain Test): SQL
  9. Operating Systems (Domain Test): Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Deadlock, Threads & Process Creation, Memory Management, Virtual Memory, Disc Scheduling, File Management, Windows OS, Linux OS, Security, Distributed Systems, Virtual Machines
  10. Computer Networks (Domain Test): 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, Hardware basics, Network Security, Mobile Technology, Cloud Computing and IoT, Cyber and Info Security
  11. Coding: Coding Questions by Yash Sir, C Programming by Yash Sir, Programming in C++, Java, Python for Placements by Yash Sir
  12. Written English Test: English Writing Ability
  13. Psychometric Test: Behavioral Assessment (Behavioral Competency Profiling) (Psychometric Test)
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video is a comprehensive lecture on number and letter series, a common topic in competitive exams. The instructor, Yash Jain, begins by introducing the topic and its relevance, listing numerous exams such as CAT, XAT, GMAT, and various government and banking exams where these questions appear. The core of the video is a structured analysis of different types of series patterns. A slide titled "All Possible Series" lists nine categories: Difference, Double Difference, Square, Cube, Prime, Multiples, Factors, Series with combinations, and Miscellaneous. The instructor then demonstrates how to solve a specific number series puzzle: 5, 7, 12, 19, 31, 50, ? by analyzing the differences between consecutive terms (2, 5, 7, 12, 19), which form a new series. He identifies this new series as a 'Double Difference' pattern, where the differences themselves follow a rule similar to the original series. By applying this logic, he calculates the next difference (31) and adds it to the last term (50) to find the next number in the series, which is 81. The video uses a digital whiteboard for all explanations and examples, with the instructor's video feed visible in a corner.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with a title card for "NUMBER SERIES & LETTER SERIES" against a green digital matrix background. It then transitions to a presentation slide with the title "NUMBER SERIES - LETTER SERIES". The slide presents a puzzle: "Find the next Number in this series: 5, 7, 12, 19, 31, 50, ?". The instructor, Yash Jain, is visible in a small window at the bottom right, introducing the topic and the problem. The slide also features a list of letters and numbers, and a section titled "Why Study This Topic?" which lists various competitive exams like CAT, XAT, GMAT, and others where this topic is relevant.

  2. 2:00 – 5:00 02:00-05:00

    The video displays a slide titled "All Possible Series" which lists nine types of series patterns: 1. Difference, 2. Double Difference, 3. Square, 4. Cube, 5. Prime, 6. Multiples, 7. Factors, 8. Series with combinations, and 9. Miscellaneous. The instructor explains that these are the primary patterns to look for when solving series problems. He then begins to analyze the given number series (5, 7, 12, 19, 31, 50, ?) by calculating the first differences between consecutive terms, which are 2, 5, 7, 12, 19. He notes that this new series of differences is similar to the original series, indicating a potential 'Double Difference' pattern.

  3. 5:00 – 10:00 05:00-10:00

    The instructor continues to analyze the series. He identifies the first differences (2, 5, 7, 12, 19) and then calculates the second differences (3, 2, 5, 7). He observes that the second differences (3, 2, 5, 7) are the same as the first differences of the original series, confirming the 'Double Difference' pattern. He then applies this pattern to find the next term. The last first difference is 19, so the next first difference is 31 (12 + 19). Adding this to the last term of the original series (50) gives the next number: 50 + 31 = 81. He writes the final answer, 81, on the screen.

  4. 10:00 – 10:49 10:00-10:49

    The video concludes with a black screen displaying the text "THANKS FOR WATCHING" in white and orange. The instructor's video feed is no longer visible. This is the final slide of the presentation, serving as a closing message to the audience.

The video provides a clear, step-by-step methodology for solving number series problems, emphasizing pattern recognition. It begins by establishing the importance of the topic for a wide range of competitive exams. The core of the lesson is the systematic breakdown of series into different types, with a focus on the 'Double Difference' pattern. The instructor uses a specific example to demonstrate the process: by calculating the first differences and then the second differences, he identifies a recursive pattern where the differences themselves follow the same rule as the original series. This methodical approach allows for the logical deduction of the next term, which in this case is 81. The video effectively combines visual aids with verbal explanation to teach a fundamental problem-solving skill.

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