Some Important Observations and Short Tricks
Duration: 22 min
This video lesson is available to enrolled students.
Inside: a video lesson and guided study material.
Module outline
- About Course: About the Course
- Section A: General Awareness: Polity, वैज्ञानिक उपलब्धियाँ और अनुसंधान / Scientific Achievements and Research, Biology, Chemistry, Static General Knowledge, History, Geography, Indian Economy, समसामयिकी / Current Affairs, Evolution of Indian Banking (Banking & Financial Awareness), Environment
- Section A: General Intelligence & Reasoning ability: श्रेणी / Series, कूट लेखन एवं कूट वाचन / Coding-Decoding, Data Sufficiency, अशाब्दिक तर्क / Non-Verbal Reasoning, Analytical Reasoning (Counting Figures Reasoning), रक्त संबंध / Blood Relations, Syllogisms, कथन आधारित तार्किक विवेचन / Statement-Based Reasoning, बैठक व्यवस्था एवं पहेलियाँ / Seating Arrangement and Puzzles, दिशा एवं दूरी / Direction and Distance, गणितीय संक्रियाएँ एवं लुप्त संख्या / Mathematical Operations and Missing Numbers, कैलेंडर एवं घड़ी / Calendar and Clock, Clock, घन, पासा एवं आकृतियों की गिनती / Cubes, Dice and Figure Counting, आँकड़ों की पर्याप्तता एवं निर्णय क्षमता / Data Sufficiency and Decision Making, वर्णमाला एवं संख्या परीक्षण / Alphabet and Number Test, Crypt Arithmetic, वेन आरेख, न्याय वाक्य एवं असमानता / Venn Diagrams, Syllogism and Inequalities, Data Arrangement, Inequality, सादृश्यता एवं वर्गीकरण / Analogy and Classification, क्रम एवं रैंकिंग / Order and Ranking, TCS NQT Advanced Reasoning Ability
- Section A: Arithmetical & Numerical Ability: अनुपात और समानुपात / Ratio and Proportion, Divisibility Rules, आँकड़ा निर्वचन / Data Interpretation, मिश्रण और एलिगेशन / Mixture and Alligation, Permutation and Combination, Logarithm, संख्या पद्धति / Number System, महत्तम समापवर्तक और लघुत्तम समापवर्त्य / HCF and LCM, Sequence and Series (Series), समय, चाल और दूरी / Time, Speed and Distance, प्रतिशत / Percentage, औसत / Average, लाभ, हानि और बट्टा / Profit, Loss and Discount, साधारण और चक्रवृद्धि ब्याज / Simple and Compound Interest, समय और कार्य / Time and Work, Pipe and Cistern, घन क्षेत्रमिति / Solid Mensuration, सरलीकरण, घातांक और करणी / Simplification, Indices and Surds, Algebra, Probability, Mental Ability, Age Problems, Partnership, Statistics, Arithmetic, Speed Mathematics and Basic Mathematics, Miscellaneous
- Section A: English Language & Comprehension: Vocabulary, Subject Verb Agreement (Verb Noun Agreement), Adjectives, Verbs and Tenses, Reading Comprehension, Parts of Speech, Sentence Construction, Prepositions and Conjunctions, Direct and Indirect Speech, Sentence Completion (Fill in the blanks), Sentence Structure and Common Errors, Modals, Transformation of Sentences, Sentence Correction (Error Correction), Adverb, Conjunction, Cloze Test (Cloze Passage)
- Section A: Hindi Language & Comprehension: भाषा, लिपि और वर्ण, वर्तनी, वर्ण-विन्यास, अनुस्वार, अनुनासिक, चंद्रबिंदु और ‘र’ के रूप, शब्द, पद और शब्द-भेद, संज्ञा और सर्वनाम, पद-भेद और रूप-विकार, लिंग, वचन, पुरुष और कारक, काल, वाच्य, वाक्य और वाक्य-भेद, संधि, समास, विलोम शब्द, पर्यायवाची शब्द, सामान्य अशुद्धियाँ, अनेक शब्दों के लिए एक शब्द, शब्द-भंडार, अपठित बोध, Multi-Topic Content (Cross-Concept Material), वर्णमाला
- Section B: Programming, Data Structures, OOP & Java: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling, Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing, Java, OOPS with C++, Language Design, Intro to Compilers, Visual Basics, Syntax Analysis: Bottom-Up, Object Oriented Technology
- Section B: Computer Networks, TCP/IP & Network Security: Introduction to CN, Data Communication, DLL: Flow Control, DLL: Access Control, DLL: Error Control, Data Link Layer - Ethernet, Net Layer: IPv4 & Proto, Net Layer: IP Addressing, Transport Layer Services, TL: Congestion & UDP, Application Layer, Hardware basics, Network Access Technologies, Network Security, Society, Law & Ethics, Mobile Computing, Net Layer:Routing Protocol, Cyber Safety and Security
- Section B: Teaching Methodology: वृद्धि और विकास / Growth and Development, Concept of Pedagogy, विकास के सिद्धांत / Theories of Development, समावेशी शिक्षा / Inclusive Education, Experiential Pedagogy, आकलन और मूल्यांकन / Assessment and Evaluation, समाजीकरण और जेंडर / Socialisation and Gender, National Education Policy (NEP) 2020, संज्ञानात्मक प्रक्रियाएँ / Cognitive Processes, शिक्षण योजना और शिक्षण कौशल / Teaching Planning and Teaching Skills, Personality Development, शिक्षण विधियाँ / Teaching Methods, अधिगम और व्यवहारवादी सिद्धांत / Learning and Behavioural Theories, Learners & Learning Process, Factors Affecting Teaching, शिक्षण विधियाँ एवं उपागम / Teaching Methods and Approaches, शिक्षण-अधिगम प्रक्रिया एवं कक्षा प्रबंधन / Teaching-Learning Process and Classroom Management, शिक्षण सहायक सामग्री एवं शैक्षिक तकनीकी / Teaching Aids and Educational Technology, सूक्ष्म शिक्षण एवं कक्षा संप्रेषण / Microteaching and Classroom Communication, आकलन एवं मूल्यांकन / Assessment and Evaluation, पाठ्यचर्या, कला एवं सह-शैक्षिक क्षेत्र / Curriculum, Arts and Co-curricular Areas, दिव्यांग बच्चों की शिक्षा / Education of Children with Disabilities, शिक्षक: गुण, व्यावसायिक नैतिकता एवं विकास / Teacher: Qualities, Professional Ethics and Development
- Section B: Digital Electronics / Boolean Logic: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation, Analog-Digital Conversion
- Section B: Operating Systems & Linux: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory, File Management, Disc Scheduling, Unix OS, Linux OS, Distributed Systems, Windows OS
- Section B: Data Base Management System: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, Relational Algebra, SQL, File Organization & Indexing, Transaction Management, Concurrency Control, Database Security & Authorization, Database Recovery, Data Warehousing & Mining
- Section B: Internet & Web Technologies: Website, Browser & Services, Internet Fundamentals, Web Design & Development, Protocols & Services, Web Publishing & Hosting, Server Side & Security, HTML Basics, CSS, Emerging Technologies, JavaScript-Basics, .Net Programming, Electronic Data Interchange and E-Commerce, XML
- Section B: Computer Fundamentals, IT Basics & Architecture: Basics of COA, Cache Memory Organization, Input Output Organisation, Register Transfer and Microoperations, Control Unit Design, Programming the Basic Computer, Terms & Abbreviations, MS Office Applications, Instr Formats & Modes, Floating Point Rep, कंप्यूटर के मूल सिद्धांत / Computer Fundamentals, साइबर सुरक्षा / Cyber Safety and Security, कंप्यूटर सॉफ़्टवेयर / Computer Software, ऑपरेटिंग सिस्टम / Operating System, वर्ड प्रोसेसिंग (MS Word) / Word Processing (MS Word), कंप्यूटर नेटवर्क / Computer Networks, प्रेज़ेंटेशन (MS PowerPoint) / Presentation Software (MS PowerPoint)
- Section B: Python Language: Introduction to Python, Tokens, Variables, Data Types, I/O, Operators & Expressions, Control Flow & Looping, Collections & Strings, Functions & Modules, File Handling & Data Analysis
- Section B: Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management, extras, Fundamentals of Systems and Information Systems
- Section B: Design & Analysis of Algorithms: Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Greedy Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos, Advanced Algorithms
- Section B: Mathematics: Linear Algebra, Calculus, Trigonometry, Vectors, Set Theory, Functions, Relations, Propositional and Predicate Logic, Research Process Steps, Graph Theory, समुच्चय, संबंध, फलन और विविक्त गणित / Sets, Relations, Functions and Discrete Mathematics, संख्या पद्धति और संख्या सिद्धांत / Number Systems and Number Theory, यूक्लिडीय ज्यामिति और क्षेत्रमिति / Euclidean Geometry and Mensuration, सांख्यिकी और प्रायिकता / Statistics and Probability, निर्देशांक ज्यामिति, सदिश और त्रिविमीय ज्यामिति / Coordinate Geometry, Vectors and 3D Geometry, बहुपद, समीकरण और सम्मिश्र संख्याएँ / Polynomials, Equations and Complex Numbers, समतल क्षेत्रमिति / Plane Mensuration, प्रतिचयन / Sampling
- Section B: Computer Graphics, Multimedia & Mobile Computing: Basics of Computer Graphics, 2-D Geometrical Transforms and Viewing, 3-D Object Representation, Geometric Transformations and Viewing, Multimedia
- Section B: Emerging Trends: Emerging Tech Trends, Knowledge Representation, Natural Language Processing, व्यापार, विपणन एवं उपभोक्ता संरक्षण / Trade, Marketing and Consumer Protection
- DSSSB Previous Year Paper:
- Business Studies and Management: Business Communication, प्रबंध के सिद्धांत एवं कार्य / Principles and Functions of Management, लेखांकन के आधार एवं लेन-देनों का अभिलेखन / Accounting Fundamentals and Recording of Transactions, Business Economics, ह्रास, अंतिम खाते व कंप्यूटरीकृत लेखांकन / Depreciation, Final Accounts and Computerised Accounting, Knowledge Management & New Economy
AI summary & chapters
AI Summary
An AI-generated summary of this video lecture.
This lecture teaches foundational shortcuts for solving number and letter series, emphasizing pattern recognition over brute-force calculation. The instructor introduces three core operation types—addition, multiplication, and mixed (A+m)—and applies them to sequences like 5, 15, 45, 135, 405 (×3 pattern) and large powers of two. Reference tables for squares (1–50), cubes (1–20), and primes (1–200) are used to quickly identify missing terms in sequences such as 961, 1024, 1089, __, 1225 (answer 1156 = 34²) and 6, 15, 35, __, 143 (consecutive prime products). A difference-based method using the formula (a × p) + m is demonstrated on 2, 6, 14, 30 (answer 62). The final section covers miscellaneous series with alternating patterns and Fibonacci-like sums, concluding with a pair-based rule yielding 4 + 1 = 5.
Chapters
0:00 – 2:00 00:00-02:00
The lesson opens with a title slide 'NUMBER SERIES - LETTER SERIES' showing the alphabet and numbers, followed by a 'Back To Basics' card with wooden letter blocks. The instructor presents the first puzzle: 5, 15, 45, 135, 405, ____, and a second: 524288, 65536, 8192, 1024, 128, 16, ____. On-screen text also shows 'Find the Next Number in this series: 5, 7, 12, 19, 31, 50, ?' as a teaser. The teaching cue is to return to foundational pattern recognition before solving.
2:00 – 5:00 02:00-05:00
The instructor writes 'addition', 'multiplication', and 'mix (A+m)' as candidate patterns for 5, 15, 45, 135, 405. Arrows above the sequence show differences +10, +30, +90, and a calculation '(5x2)+5' illustrates the mixed method. The instructor then crosses out 'add x', writes 'inc ↑↑', and labels arrows between terms with 'x3'. A vertical calculation 405 × 3 = 1215 confirms the answer. For the second sequence, 'Sub. X' is crossed out while 'div.' and 'div + sub.' are checked; 128/16 = 2³ is written, and the exponent rule a^m/a^n = a^(m-n) explains the power-of-two division pattern.
5:00 – 10:00 05:00-10:00
A slide titled 'Some Important Points' displays a table 'Squares 1 to 50' (1²=1 through 50²=2500). The row '961 1024 1089 __ 1225' is solved by filling the blank in red as '1156', with arrows labeling 31², 32², 33², 34², 35² and red circles marking the matching entries. A second slide 'Cubes 1 to 20' (1³=1 through 20³=8000) shows '729 1000 1331 1728 2197' annotated with arrows for 9³ through 13³ and a circle around 1728. The final frame in this window shows the halving sequence '360 180 90 __ 22.5' with a red arrow and handwritten cue 'dec', indicating division by 2.
10:00 – 15:00 10:00-15:00
The instructor demonstrates a difference-based shortcut on 2, 6, 14, 30, __. Differences below the sequence are 4, 8, 16. The general formula '(a x p) + m' is written with p=2 and m=2. Verification: (14 × 2) + 2 = 30 confirms the pattern; the next difference is (30 × 2) + 2 = 62, which is added to the last term. The window then transitions to a prime-number table (1–200) and the sequence '6 15 35 __ 143'. The instructor writes '2x3=6' and '3x5=15', circles the first four primes (2, 3, 5, 7), and highlights 31, 37, 41, 43, 47 in the table to show consecutive prime products.
15:00 – 20:00 15:00-20:00
Continuing the prime-product sequence, the instructor applies 5×7=35 and 11×13=143 to confirm the pattern, so the missing term is 7×11=77. The lecture then shifts to 'Miscellaneous Series'. The first example '1 10 2 9 3 8 4 7' is analyzed as an alternating pattern with the on-screen cue 'even', pairing terms that sum to 11. A second example '2 4 6 10 16 26 42' is shown as Fibonacci-like, with on-screen text '2+4=6, 4+6=10, 6+10=16, 10+16=26' confirming each term is the sum of the two preceding terms.
20:00 – 21:51 20:00-21:51
The final example is the pair-based series '96 15 71 8 37 10 41'. The instructor applies a rule to adjacent pairs, and the on-screen calculation '4+1=5' gives the final answer. This closes the miscellaneous section, reinforcing that series may combine alternating patterns, adjacent-term sums, or pair-based rules rather than a single uniform operation.
The lecture builds a systematic toolkit for number-series problems. First, it classifies operations into addition, multiplication, and mixed (A+m), using the ×3 sequence 5→1215 as a clean multiplication example and the power-of-two division sequence to introduce exponent rules. Second, it provides reference tables (squares 1–50, cubes 1–20, primes 1–200) so students can spot missing terms by matching values rather than computing from scratch—e.g., 1156=34² and the prime-product gap 7×11=77. Third, it teaches a difference-based formula (a × p) + m for sequences where first differences themselves follow a pattern, as in 2, 6, 14, 30 → 62. Finally, it covers miscellaneous series with alternating pairs (1+10=11), Fibonacci-like sums (2, 4, 6, 10, 16, 26, 42), and pair rules (96, 15, 71, 8, 37, 10, 41 → 5). The central idea is to test simple operations first, use reference tables for recognition, and only then move to mixed or multi-step rules.