Short Trick to Find A B C given some mA = nB = pC

Duration: 5 min

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Module outline

  1. Quantitative Ability: Percentage, Profit and Loss, Ratio and Proportion (Ratios), Average, Time and Work, Speed Time and Distance, Simple Interest and Compound Interest, Age Problems, Number System, Divisibility Rules, HCF LCM, Algebra, Permutation and Combination, Probability, Data Interpretation, Logarithm, Sequence and Series (Series), Powers and Exponents (Surds and Indices), Speed Mathematics and Basic Mathematics
  2. Logical Reasoning: Seating Arrangements, Puzzle Solving (Puzzles), Data Arrangement, Coding Decoding, Blood Relations, Directions (Direction Test), Ranking, Order and Sequence, Data Sufficiency, Venn Diagram, Inequality, Series (Number and Letter Series) (Numerical Relations and Reasoning), Logical Sequence Of Words, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Selection Decision Table (Decision Making), Analogy, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning)
  3. Verbal Ability: Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions), Subject Verb Agreement (Verb Noun Agreement), Tenses, Articles, Preposition, Conjunction, Modals, Active Passive Voice (Voice), Direct and Indirect Speech, Vocabulary, Sentence Re-arrangements (Para Jumbles) (Narrative Sequencing), Sentence Completion (Fill in the blanks), Sentence Correction (Error Correction), Cloze Test (Cloze Passage), Facts, Inference and Judgements
  4. Programming Fundamentals (Technical): C Fundamentals
  5. Data Structures (Technical): Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing
  6. Algorithms (Technical): Algorithm Analysis, Sorting Algorithms, Greedy Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos, Time Complexity Analysis, Advanced Algorithms
  7. OOPs (Technical): Object Oriented Programming (OOPS)
  8. DBMS (Technical): 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
  9. SQL (Technical): SQL
  10. Operating Systems (Technical): 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
  11. Computer Networks (Technical): 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
  12. Software Engineering (Technical): Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
  13. Coding/Automata Round: Coding Questions by Yash Sir, C Programming by Yash Sir, Programming in C++, Java, Python for Placements by Yash Sir, Pseudo Codes
  14. Personality / Behavioral Assessment: Behavioral Assessment (Behavioral Competency Profiling) (Psychometric Test)
  15. Writing Assessment: English Writing Ability
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video provides a comprehensive tutorial on solving ratio problems involving three variables, specifically focusing on the scenario where variables are related by a common equation. The instructor, Yash Jain, explains how to find the ratio A:B:C when given an equation where the variables are multiplied by different constants, such as mA = nB = pC. The core technique involves setting the equation to a constant 'k' to isolate each variable, expressing them as fractions, and then finding the Least Common Multiple (LCM) of the denominators to simplify the result into whole numbers. This method is presented as a standard approach for competitive exams.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video begins with a title slide displaying "RATIO & PROPORTION" in bold black text next to a colorful 3D pie chart. The instructor, Yash Jain, appears in a small window and introduces the topic. A slide defines "Ratio" as "a comparison of 2 quantities," accompanied by a diagram illustrating parts and a whole. The lesson then transitions to a specific problem type titled "Finding A:B:C where mA = nB = pC". The first example problem is displayed on a yellow background: "If 3A = 5B = 6C, find A : B : C?". The instructor underlines the numbers 3, 5, and 6 to identify them as the coefficients m, n, and p.

  2. 2:00 – 5:00 02:00-05:00

    The instructor demonstrates the solution by setting the entire equation equal to a constant variable 'k', writing "3A = 5B = 6C = k". He isolates each variable to express them in terms of k: A = k/3, B = k/5, and C = k/6. He then constructs the ratio A:B:C as k/3 : k/5 : k/6. To simplify this into whole numbers, he calculates the Least Common Multiple (LCM) of the denominators 3, 5, and 6, which is 30. He multiplies each term of the ratio by 30, resulting in the final integer ratio 10 : 6 : 5. He also writes the general formula A:B:C = 1/m : 1/n : 1/p.

  3. 5:00 – 5:27 05:00-05:27

    The instructor briefly presents a second example problem: "If 2A = 3B = 4C, find A : B : C?". He applies the general formula A:B:C = 1/2 : 1/3 : 1/4. He calculates the LCM of 2, 3, and 4 as 12. Multiplying the terms by 12 yields the ratio 6 : 4 : 3. The video concludes with a black screen displaying the text "THANKS FOR WATCHING" in orange and white font.

The lesson progresses logically from basic definitions of ratio to complex algebraic applications. The key takeaway is the method of equating terms to a constant 'k' to isolate variables, followed by finding the LCM to convert fractional ratios into integers. The instructor demonstrates this with two distinct examples, reinforcing the concept that the ratio of variables is the inverse of their coefficients. This systematic approach ensures accuracy in solving ratio and proportion problems found in competitive exams, providing students with a reliable shortcut for similar questions.

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