SHORT TRICK To Apply Alligation Rule on 3 Ingredients

Duration: 14 min

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Module outline

  1. Numerical Ability & Problem Solving: Speed Mathematics and Basic Mathematics, Arithmetic, Number System, HCF LCM, Divisibility Rules, Percentage, Ratio and Proportion (Ratios), Average, Profit and Loss, Simple Interest and Compound Interest, Mixture and Alligation, Time and Work, Pipe and Cistern, Speed Time and Distance, Age Problems, Partnership, Data Interpretation, Mental Ability, Sequence and Series (Series), Powers and Exponents (Surds and Indices), Algebra, Statistics, Logarithm, 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, Combinatorics
  2. Logical Reasoning: 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, Directions (Direction Test), Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Analytical Reasoning (Counting Figures Reasoning), Puzzle Solving (Puzzles), Calendar, Clock, Cubes & Dices, Logical Sequence Of Words, Venn Diagram, Data Arrangement, Inequality, Analogy, Ranking, Order and Sequence, Selection Decision Table (Decision Making), 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, Logical Deduction and Induction, Syllogisms and Venn Diagrams, Critical Reasoning, Order, Ranking and Sequence, Reading Comprehension, Profit, Loss and Discount, Constraint Puzzles, Traverse Surveying, Ratio and Proportion, Mensuration, Permutations and Combinations, Clocks and Calendars, Assembling and Grouping of Shapes, Transformation of Shapes, Three-Dimensional Patterns and Visualization, Cubes and Dice, Vocabulary, Blood Relations
  3. General Knowledge & Current Affairs (India + Rajasthan): History, Geography, Polity, Indian Economy, Static General Knowledge, State Wise GK, GK- Current Affairs, Environment, Physics
  4. Computer Fundamentals & Operating Systems: Basics of COA, Floating Point Rep, Digital Systems & Boolean Basics, Number Representation, Number System, Introduction to OS, File Management, Windows OS, Unix OS, Linux OS, Register Transfer and Microoperations, Virtual Memory
  5. Computer Networks: Introduction to CN, Data Communication, DLL: Error Control, DLL: Access Control, Data Link Layer - Ethernet, Net Layer: IPv4 & Proto, Application Layer, Hardware Basics, Network Security
  6. Cyber Security: Cyber Threats and Malware Attacks, Role of Internet and Web Services, Security in Mobile and Wireless Computing, Electronic Data Interchange and E-Commerce, Physical Security and Cryptography Basics, Intrusion Detection Systems (IDS), Cyber Safety and Security, Ethical Hacking
  7. Programming (C & OOP): C Fundamentals, Control Flow, Arrays & Pointers, Functions, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling, OOPS with C++, Operators & Expressions, Sorting Algorithms, Java Fundamentals, Java
  8. MS Office & Data Processing: MS Office Applications, Basics of DBMS
  9. Internet & Web Technology: Society, Law & Ethics, Terms & Abbreviations, Keyboard Shortcuts, Emerging Tech Trends, Artificial Intelligence, Emerging Technologies, Internet Fundamentals, Website, Browser & Services, Web Design & Development, Protocols & Services, Web Publishing & Hosting, Server Side & Security
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video, presented by Yash Jain, is a tutorial on solving mixture and alligation problems, specifically focusing on the application of the alligation rule for three ingredients. The video begins with an introduction to the topic, followed by a detailed explanation of the weighted average formula for mixtures. The core of the lesson is a worked example: determining the ratio in which three types of sugar costing Rs. 10, Rs. 12, and Rs. 16 per kg should be mixed to achieve a mixture costing Rs. 13 per kg. The instructor demonstrates the alligation method by first pairing the ingredients (10 and 16, 12 and 16) with the mean price (13), calculating the differences (3 and 3, 1 and 3), and then combining these ratios to find the final ratio of 1:3:2. The video concludes with a summary of the solution and a thank you message.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with an animated title card featuring a cartoon scientist in a lab, with the word "MIXTURE" displayed at the bottom. This transitions to a presentation slide with a geometric background, introducing the topic "MIXTURES & ALLIGATIONS" and crediting the instructor, Yash Jain. The instructor, visible in a small window, begins to explain the concept of alligation, writing "Price A", "Price B", and "Mean Price" on the screen to establish the basic framework for the problem.

  2. 2:00 – 5:00 02:00-05:00

    The instructor continues to build the theoretical foundation. He writes the formula for the weighted average of a mixture: x̄ = (n₁x₁ + n₂x₂ + n₃x₃) / (n₁ + n₂ + n₃), where x̄ is the mean price and nᵢ are the quantities. He then introduces the problem: to find the ratio of three types of sugar costing Rs. 10, Rs. 12, and Rs. 16 per kg to make a mixture costing Rs. 13 per kg. He visually represents the prices on a number line, showing that 13 lies between 10 and 16, and between 12 and 16, setting up the alligation process.

  3. 5:00 – 10:00 05:00-10:00

    The instructor applies the alligation rule. He first pairs the cheapest (10) and the most expensive (16) sugar with the mean price (13). He calculates the difference: 13 - 10 = 3 and 16 - 13 = 3, resulting in a ratio of 3:3, which simplifies to 1:1. He then pairs the middle-priced sugar (12) with the most expensive (16), calculating 13 - 12 = 1 and 16 - 13 = 3, resulting in a ratio of 1:3. He then combines these two ratios, 1:1 and 1:3, to find the final ratio of the three ingredients, which he determines to be 1:3:2.

  4. 10:00 – 13:42 10:00-13:42

    The instructor verifies the solution by substituting the ratio 1:3:2 back into the weighted average formula. He calculates the total cost as (1*10 + 3*12 + 2*16) = 10 + 36 + 32 = 78, and the total quantity as 1 + 3 + 2 = 6. The mean price is 78/6 = 13, which matches the required price. He concludes the lesson by summarizing the final answer and the method used. The video ends with a "THANKS FOR WATCHING" screen.

The video provides a clear, step-by-step tutorial on solving a three-ingredient alligation problem. It begins by establishing the fundamental formula for a mixture's mean price and then applies the alligation rule by systematically pairing ingredients with the mean price. The instructor's method of breaking down the problem into two separate two-ingredient alligations and then combining the results is a logical and effective approach. The final verification step reinforces the correctness of the solution, making the entire process a comprehensive and practical guide for students.

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