Mental Ability and Arithmetic - Part 2

Duration: 27 min

This video lesson is available to enrolled students.

Return to /learn/DSSSB-TGT-COMPUTER-SCIENCE-COMPLETE-COURSE/arithmetical-numerical-ability/mental-ability/advance-mental-ability/asset-mental-ability-and-arithmetic-part-2 after enrolling

Inside: a video lesson and guided study material.

Module outline

  1. About Course: About the Course
  2. 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
  3. 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
  4. 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
  5. 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)
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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
  13. 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
  14. 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)
  15. 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
  16. 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
  17. 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
  18. 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
  19. 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
  20. Section B: Emerging Trends: Emerging Tech Trends, Knowledge Representation, Natural Language Processing, व्यापार, विपणन एवं उपभोक्ता संरक्षण / Trade, Marketing and Consumer Protection
  21. DSSSB Previous Year Paper:
  22. 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 educational video is a lecture on solving a problem related to finding the number of common terms between two arithmetic progressions (APs). The instructor, Yash Jain Sir from Knowledge Gate Eduventures, begins by presenting a question from the TCS NQT 2020 exam: "Find the number of common terms" between the sequences A) 17, 21, 25, 29, ..., 417 and B) 16, 21, 26, 31, ..., 466. The core of the lesson is a step-by-step algorithm. First, the common difference (d) of each sequence is identified: d1 = 4 for sequence A and d2 = 5 for sequence B. The first common term is found to be 21. The key insight is that the common terms form a new arithmetic progression with a common difference equal to the Least Common Multiple (LCM) of the original two differences, which is LCM(4, 5) = 20. The final step is to use the formula for the nth term of an AP, n = (l - a) / d + 1, where 'l' is the last common term, 'a' is the first common term, and 'd' is the common difference of the new sequence. The instructor demonstrates this by calculating the last common term as 417, then applying the formula: n = (417 - 21) / 20 + 1 = 396 / 20 + 1 = 19.8 + 1, which is not an integer, indicating a need to find the actual last common term. The video also includes a brief, unrelated segment on a different topic, 'THE BADMAAASH BACCHHA', which appears to be a mnemonic or a separate example, but the main focus remains on the AP problem.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with a title slide showing a man writing on a green chalkboard filled with mathematical equations, with the word "ARITHMETIC" at the bottom. This transitions to a black screen with the title "PLAYING WITH AP/GP" in red text. The instructor, Yash Jain Sir, is introduced in a small window, and the video is identified as copyrighted content from Knowledge Gate Eduventures.

  2. 2:00 – 5:00 02:00-05:00

    The main problem is presented on a blackboard: "QUE: FIND THE NUMBER OF COMMON TERMS". The two sequences are given as A) 17 21 25 29 .... 417 and B) 16 21 26 31 .... 466. The instructor states the question was asked in TCS NQT 2020. The video shows the sequences being written out, with the first common term, 21, being highlighted.

  3. 5:00 – 10:00 05:00-10:00

    The instructor begins to solve the problem. He identifies the common difference of sequence A as 4 (21-17) and sequence B as 5 (21-16). He explains that the common terms will form a new AP with a common difference equal to the LCM of 4 and 5, which is 20. He writes the formula for the nth term of an AP: a_n = a + (n-1)d. He then identifies the first common term as 21 and the last common term as 417, which is the last term of sequence A.

  4. 10:00 – 15:00 10:00-15:00

    The instructor writes the formula for the number of terms: n = (l - a) / d + 1. He substitutes the values: l = 417, a = 21, d = 20. He calculates (417 - 21) / 20 + 1 = 396 / 20 + 1 = 19.8 + 1 = 20.8. He notes that this is not an integer, which is a problem. He then realizes that 417 might not be a common term and needs to find the actual last common term that is less than or equal to 417.

  5. 15:00 – 20:00 15:00-20:00

    The instructor corrects the approach. He states that the last common term must be a multiple of 20, starting from 21. He calculates the last common term by finding the largest multiple of 20 that is less than or equal to 417. He finds that 400 is the largest such number. He then applies the formula: n = (400 - 21) / 20 + 1 = 379 / 20 + 1 = 18.95 + 1 = 19.95. He realizes this is still not an integer. He then correctly identifies that the last common term is 401, which is 21 + 19*20. He calculates n = (401 - 21) / 20 + 1 = 380 / 20 + 1 = 19 + 1 = 20. The number of common terms is 20.

  6. 20:00 – 25:00 20:00-25:00

    The video transitions to a different topic, titled "THE BADMAAASH BACCHHA". The instructor draws a circle and writes numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 inside it. He then writes a formula: (a+b)-1, and applies it to the numbers 2 and 3, getting (2+3)-1 = 4. He then writes (5+1)-1 = 5, and 6-1-1 = 4. This appears to be a separate example or a mnemonic for a different concept, possibly related to counting or combinations.

  7. 25:00 – 26:42 25:00-26:42

    The video ends with a final slide that says "THANKS FOR WATCHING" over a blue, abstract background with mathematical symbols. The instructor's video window is still visible in the corner, and the copyright notice for Knowledge Gate Eduventures remains at the bottom.

The video provides a clear, step-by-step solution to a common problem in arithmetic progression. It begins by identifying the key components of the two given sequences: their first terms, common differences, and last terms. The central concept is that the common terms of two APs form a new AP, whose common difference is the LCM of the original two differences. The instructor correctly identifies the first common term and then applies the standard formula for the number of terms in an AP. The video demonstrates a common pitfall: assuming the last term of the original sequence is also a common term, and shows the correct method of finding the actual last common term by checking the sequence of common terms. The final answer is 20. The latter part of the video, on 'THE BADMAAASH BACCHHA', seems to be an unrelated example or a mnemonic, but the core lesson on APs is well-structured and pedagogically sound.

Loading lesson…