Short Trick to Divide a Given Number X in ratio of M N

Duration: 16 min

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Inside: a video lesson and guided study material.

Module outline

  1. About Course: About the Course
  2. Section A: General Awareness / सामान्य जागरूकता: Polity / राजव्यवस्था, Scientific Achievements and Research / वैज्ञानिक उपलब्धियाँ और अनुसंधान, Biology / जीव विज्ञान, Chemistry / रसायन विज्ञान, Static General Knowledge / स्थैतिक सामान्य ज्ञान, History / इतिहास, Geography / भूगोल, Indian Economy / भारतीय अर्थव्यवस्था, Current Affairs / समसामयिकी, Evolution of Indian Banking (Banking & Financial Awareness), Environment / पर्यावरण
  3. Section A: General Intelligence & Reasoning ability / सामान्य बुद्धिमत्ता एवं तर्कशक्ति: Series / श्रेणी, Coding-Decoding / कूट लेखन एवं कूट वाचन, Data Sufficiency / आँकड़ों की पर्याप्तता, Non-Verbal Reasoning / अशाब्दिक तर्क, Analytical Reasoning (Counting Figures Reasoning) / विश्लेषणात्मक तर्क (आकृति गणना तर्क), Blood Relations / रक्त संबंध, Syllogisms / न्यायवाक्य, Statement-Based Reasoning / कथन आधारित तार्किक विवेचन, Seating Arrangement and Puzzles / बैठक व्यवस्था एवं पहेलियाँ, Direction and Distance / दिशा एवं दूरी, Mathematical Operations and Missing Numbers / गणितीय संक्रियाएँ एवं लुप्त संख्या, Calendar and Clock / कैलेंडर एवं घड़ी, Clock / घड़ी, Cubes, Dice and Figure Counting / घन, पासा एवं आकृतियों की गिनती, Data Sufficiency and Decision Making / आँकड़ों की पर्याप्तता एवं निर्णय क्षमता, Alphabet and Number Test / वर्णमाला एवं संख्या परीक्षण, Crypt Arithmetic / कूट अंकगणित, Venn Diagrams, Syllogism and Inequalities / वेन आरेख, न्याय वाक्य एवं असमानता, Data Arrangement / आँकड़ों की व्यवस्था, Inequality / असमानता, Analogy and Classification / सादृश्यता एवं वर्गीकरण, Order and Ranking / क्रम एवं रैंकिंग, TCS NQT Advanced Reasoning Ability / TCS NQT उन्नत तर्कशक्ति क्षमता
  4. Section A: Arithmetical & Numerical Ability / अंकगणितीय एवं संख्यात्मक योग्यता: Ratio and Proportion / अनुपात और समानुपात, Divisibility Rules / विभाज्यता के नियम, Data Interpretation / आँकड़ा निर्वचन, Mixture and Alligation / मिश्रण और एलिगेशन, Permutation and Combination / क्रमचय और संचय, Logarithm / लघुगणक, Number System / संख्या पद्धति, HCF and LCM / महत्तम समापवर्तक और लघुत्तम समापवर्त्य, Sequences, Series and Combinatorics / अनुक्रम, श्रेणी और संयोजन, Time, Speed and Distance / समय, चाल और दूरी, Percentage / प्रतिशत, Average / औसत, Profit, Loss and Discount / लाभ, हानि और बट्टा, Simple and Compound Interest / साधारण और चक्रवृद्धि ब्याज, Time and Work / समय और कार्य, Pipe and Cistern / नल और टंकी, Solid Mensuration / घन क्षेत्रमिति, Simplification, Indices and Surds / सरलीकरण, घातांक और करणी, Algebra / बीजगणित, Probability / प्रायिकता, Mental Ability / मानसिक योग्यता, Age Problems / आयु संबंधी प्रश्न, Partnership / साझेदारी, Statistics / सांख्यिकी, Arithmetic / अंकगणित, Speed Mathematics and Basic Mathematics / द्रुत गणित और आधारभूत गणित, Miscellaneous / विविध
  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: हिंदी भाषा एवं बोध / 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, बहुविषयक सामग्री (विभिन्न अवधारणाओं से संबंधित सामग्री), 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 / शिक्षण पद्धति: Growth and Development / वृद्धि और विकास, Concept of Pedagogy / शिक्षाशास्त्र की संकल्पना, Theories of Development / विकास के सिद्धांत, Inclusive Education / समावेशी शिक्षा, Experiential Pedagogy / अनुभवात्मक शिक्षाशास्त्र, Assessment and Evaluation / आकलन और मूल्यांकन, Socialisation and Gender / समाजीकरण और जेंडर, National Education Policy (NEP) 2020 / राष्ट्रीय शिक्षा नीति (NEP) 2020, Cognitive Processes / संज्ञानात्मक प्रक्रियाएँ, Teaching Planning and Teaching Skills / शिक्षण योजना और शिक्षण कौशल, Personality Development / व्यक्तित्व विकास, Teaching Methods / शिक्षण विधियाँ, Learning and Behavioural Theories / अधिगम और व्यवहारवादी सिद्धांत, Learners & Learning Process / अधिगमकर्ता और अधिगम प्रक्रिया, Factors Affecting Teaching / शिक्षण को प्रभावित करने वाले कारक, Teaching Methods and Approaches / शिक्षण विधियाँ एवं उपागम, Teaching-Learning Process and Classroom Management / शिक्षण-अधिगम प्रक्रिया एवं कक्षा प्रबंधन, Teaching Aids and Educational Technology / शिक्षण सहायक सामग्री एवं शैक्षिक तकनीकी, Microteaching and Classroom Communication / सूक्ष्म शिक्षण एवं कक्षा संप्रेषण, Assessment and Evaluation / आकलन एवं मूल्यांकन, Curriculum, Arts and Co-curricular Areas / पाठ्यचर्या, कला एवं सह-शैक्षिक क्षेत्र, Education of Children with Disabilities / दिव्यांग बच्चों की शिक्षा, Teacher: Qualities, Professional Ethics and Development / शिक्षक: गुण, व्यावसायिक नैतिकता एवं विकास
  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, Computer Fundamentals, Cyber Safety and Security, Computer Software, Operating System, Word Processing (MS Word), Computer Networks, 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 / गणित: Linear Algebra / रैखिक बीजगणित, Calculus / कलन, Trigonometry / त्रिकोणमिति, Vectors / सदिश, Set Theory, Functions, Relations, Propositional and Predicate Logic, Research Process Steps / शोध प्रक्रिया के चरण, Graph Theory, Sets, Relations, Functions and Discrete Mathematics / समुच्चय, संबंध, फलन और विविक्त गणित, Number Systems and Number Theory / संख्या पद्धति और संख्या सिद्धांत, Euclidean Geometry and Mensuration / यूक्लिडीय ज्यामिति और क्षेत्रमिति, Statistics and Probability / सांख्यिकी और प्रायिकता, Coordinate Geometry, Vectors and 3D Geometry / निर्देशांक ज्यामिति, सदिश और त्रिविमीय ज्यामिति, Polynomials, Equations and Complex Numbers / बहुपद, समीकरण और सम्मिश्र संख्याएँ, Plane Mensuration / समतल क्षेत्रमिति, Sampling / प्रतिचयन
  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, Trade, Marketing and Consumer Protection / व्यापार, विपणन एवं उपभोक्ता संरक्षण
  21. DSSSB Previous Year Paper:
  22. Business Studies and Management / व्यवसाय अध्ययन एवं प्रबंधन: Business Communication / व्यावसायिक संचार, Principles and Functions of Management / प्रबंध के सिद्धांत एवं कार्य, Accounting Fundamentals and Recording of Transactions / लेखांकन के आधार एवं लेन-देनों का अभिलेखन, Business Economics / व्यावसायिक अर्थशास्त्र, Depreciation, Final Accounts and Computerised Accounting / ह्रास, अंतिम खाते व कंप्यूटरीकृत लेखांकन, Knowledge Management & New Economy / ज्ञान प्रबंधन और नई अर्थव्यवस्था
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This lecture teaches a shortcut for dividing a given number x in the ratio m:n by first finding the value of one part and then multiplying it by each ratio term. The instructor opens with a definition of ratio as the comparison of two quantities, noting that it can be written in colon, word, or fraction form. The main method is introduced as “Dividing a given number 'x' in the ratio 'm:n'.” A story-based example uses Suresh and Mahesh, with a 153 lakh property to be divided in the ratio 4:5. The total number of parts is found as 4 + 5 = 9, so one part equals 153/9 = 17 lakh. Suresh’s share is then calculated as 4 × 17 = 68 lakh, and Mahesh’s share as 5 × 17 = 85 lakh. The instructor verifies the answer by adding the two shares back to 153 lakh. A second example involves Jethalal, Sunderlal, and Taarak Bhai sharing a profit of Rs. 10,85,000 in the efficiency ratio 7:11:13. The total number of parts is 7 + 11 + 13 = 31, so one part equals 10,85,000/31 = Rs. 35,000. Sunderlal’s share is highlighted as 11 × 35,000 = Rs. 3,85,000. A third example introduces chained ratios: Rs. 200 is divided among Neha, Tony, and Sonu such that N:T = 2:3 and T:S = 3:5. The instructor combines these into a single ratio N:T:S = 2:3:5, giving 10 parts equal to 200. One part is therefore 20, so Neha’s share is 2 × 20 = 40 and Tony’s share is 3 × 20 = 60. The final example extends the chained-ratio method to four people: Rs. 5000 is divided among Guddu, Munna, JP Yadav, and Kaleen Bhaiya with ratios G:M = 1:2, M:J = 2:3, and J:K = 3:4. These are combined into G:M:J:K = 1:2:3:4, giving 10 parts equal to 5000. One part is 500, so Munna’s share is 2 × 500 = Rs. 1000, which is circled as the answer. The lesson ends with a “THANKS FOR WATCHING” screen.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with a slide titled “RATIO & PROPORTION” that defines ratio as “a comparison of 2 quantities” and states it can be written in colon, word, or fraction form. The instructor then introduces the specific topic: “Dividing a given number 'x' in the ratio 'm:n'.” A “Story Time” segment begins with an illustration of three men, two of whom are labeled “Suresh” and “Mahesh,” followed by a house illustration labeled “Father.” This sets up the contextual word problem that will be solved using the ratio-division shortcut.

  2. 2:00 – 5:00 02:00-05:00

    The story problem is formalized as “153 lakh property into two parts in the ratio 4:5,” with Suresh associated with 4 and Mahesh with 5. The instructor writes “153 -> 9 parts” and “9 parts -> 153 lakh,” then calculates one part as 153/9 = 17 lakh. The individual shares are found by multiplying: “Suresh -> 4 x 17 lakh = 68 lakh” and “Mahesh -> 5 x 17 = 85 lakh.” A verification step adds the two shares back to confirm they total 153 lakh, reinforcing that the parts must sum to the original amount.

  3. 5:00 – 10:00 05:00-10:00

    A partnership problem is presented in an orange panel: Jethalal, Sunderlal, and Taarak Bhai have an efficiency ratio of 7:11:13 and a total profit of Rs. 10,85,000. The instructor labels the ratio as “Bhag ← efficiency ratio” and computes the total parts: 7 + 11 + 13 = 31. One part is then found as 10,85,000/31 = Rs. 35,000. Each partner’s share is obtained by multiplying their ratio term by 35,000; Sunderlal’s share of 11 × 35,000 = Rs. 3,85,000 is circled as the answer. This example demonstrates applying the same one-part method to a three-way division.

  4. 10:00 – 15:00 10:00-15:00

    The lesson moves to chained ratios. First, Rs. 200 is divided among Neha, Tony, and Sonu with N:T = 2:3 and T:S = 3:5. The instructor writes the fractions N/T = 2/3 and T/S = 3/5, then combines them into the single ratio N:T:S = 2:3:5. Since 2 + 3 + 5 = 10 parts equal 200, one part is 20. Neha’s share is calculated as 2 × 20 = 40 and Tony’s as 3 × 20 = 60. A second chained-ratio problem then introduces Rs. 5000 divided among Guddu, Munna, JP Yadav, and Kaleen Bhaiya with G:M = 1:2, M:J = 2:3, and J:K = 3:4.

  5. 15:00 – 15:30 15:00-15:30

    The final chained-ratio problem is completed. The ratios G:M = 1:2, M:J = 2:3, and J:K = 3:4 are combined into G:M:J:K = 1:2:3:4, giving 1 + 2 + 3 + 4 = 10 parts equal to 5000. One part is therefore 500, and the four shares are labeled 500, 1000, 1500, and 2000. Munna’s share of (2/10) × 5000 = Rs. 1000 is circled as the answer, and the video ends with a “THANKS FOR WATCHING” screen.

The central idea of the lecture is a consistent shortcut for dividing a number in a given ratio: sum the ratio terms to get the total number of parts, divide the original amount by that sum to find the value of one part, and then multiply each ratio term by this unit value to obtain individual shares. This method is first demonstrated with a simple two-way division (153 lakh in the ratio 4:5), where one part equals 17 lakh and the shares are 68 and 85 lakh. It is then extended to a three-way partnership division (Rs. 10,85,000 in the ratio 7:11:13), where one part equals Rs. 35,000 and Sunderlal’s share is Rs. 3,85,000. The most important conceptual extension involves chained ratios, where separate pairwise ratios must first be combined into a single multi-term ratio before applying the one-part method. In the Neha-Tony-Sonu example, N:T = 2:3 and T:S = 3:5 are combined into N:T:S = 2:3:5 because the common term Tony is already consistent (3 in both ratios). In the final four-person example, G:M = 1:2, M:J = 2:3, and J:K = 3:4 are combined into G:M:J:K = 1:2:3:4, again because the overlapping terms match. The verification step in the first example—adding the calculated shares back to the original total—is a useful habit that confirms correctness. The lecture uses story-based framing and character names to make the abstract ratio concept concrete, but the underlying arithmetic is identical across all examples: total parts → value of one part → individual shares.

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