All Possible Series that can be formed
Duration: 11 min
This video lesson is available to enrolled students.
Inside: a video lesson and guided study material.
Module outline
- Paper 1 | Reasoning Test: Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Data Sufficiency, Syllogisms, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Seating Arrangements, Blood Relations, Puzzle Solving (Puzzles), Venn Diagram, Analogy, Ranking, Order and Sequence, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Selection Decision Table (Decision Making), Logical Sequence Of Words, Cubes & Dices, Analytical Reasoning (Counting Figures Reasoning), Calendar, Alphabet and Word Tests, Numerical Reasoning, Number System, Averages, Mixtures and Alligation, Percentages, Series Completion, Analogy and Classification, Patterns in Two-Dimensional Figures, Coding and Decoding, Mathematical Operations, Direction Sense, Algebra, Logical Deduction and Induction, Syllogisms and Venn Diagrams, Critical Reasoning, Order, Ranking and Sequence, Reading Comprehension, Profit, Loss and Discount, Constraint Puzzles, Speed, Time and Distance, Traverse Surveying, Ratio and Proportion, Time and Work, Mensuration, Permutations and Combinations, Clocks and Calendars, Data Interpretation, Assembling and Grouping of Shapes, Transformation of Shapes, Three-Dimensional Patterns and Visualization, Cubes and Dice, Vocabulary, Blood Relations, Data Sufficiency
- Paper 1 | Numerical Analysis: Number System, HCF LCM, Percentage, Ratio and Proportion (Ratios), Average, Sequence and Series (Series), Powers and Exponents (Surds and Indices), Algebra, Statistics, Data Interpretation, Mental Ability, Arithmetic, Logarithm, Profit and Loss, Simple Interest and Compound Interest, Speed Time and Distance, Mixture and Alligation, Mensuration and Geometry, Permutation and Combination, Probability, Sequences and Series, Powers, Surds and Logarithms, Subject-Verb Agreement, Sentence Completion, Geometry, Sentence Structure and Correction, Data Sufficiency, Trigonometry, Measurement and Quantity Take-Off, Signal Space and Optimum Detection, Probability, Statistics, Algebra, Time and Work, Speed, Time and Distance, Data Interpretation, Graph Theory, Combinatorics
- Paper 1 | General Knowledge: State Wise GK, History, Geography, GK- Current Affairs, Static General Knowledge, Polity, Indian Economy
- Paper 1 | DBMS: 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, Relational Calculus, Database Security & Authorization, Database Recovery
- Paper 1 | Data Communication & Network: 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, Network Security, Security in Mobile and Wireless Computing, Input Output Organisation, File Management, Hardware Basics, Terms & Abbreviations, Protocols & Services, Network Access Technologies, Cyber Safety and Security, Basics of COA
- Paper 2 | System Analysis & Design: Fundamentals of Systems and Information Systems, SDLC and Development Approaches, Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Documentation and Software Requirements Specification (SRS), SDD and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management, Security, Risk Management & Maintenance, extras
- Paper 2 | Programming Language (Java): Java Fundamentals, OOPS with Java, Array, String, IO & References, Generic & Collections, Multithreading, Java, Miscellaneous, Control Flow, OOPS with C++, Stack, C Fundamentals, Arrays & Pointers, Object Oriented Technology, Control Flow & Looping, Introduction to Python
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
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.
2:00 – 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.
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.
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.