Finding number of males & females using alligation rule

Duration: 9 min

This video lesson is available to enrolled students.

Return to /learn/ZERO-TO-HERO/aptitude/mixture-and-alligation/application-based-problems-population-students-malesfemales-distribution/asset-finding-number-of-males-females-using-alligation-rule after enrolling

Inside: a video lesson and guided study material.

Module outline

  1. Database Management System: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, File Organization & Indexing, Relational Algebra, SQL, Relational Calculus, Transaction Management, Concurrency Control
  2. Discrete Mathematics: Set Theory, Relations, Functions, Graph Theory, Group Theory, Propositional and Predicate Logic
  3. Digital Electronics: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation
  4. Computer Architecture: Basics of COA, Floating Point Rep, Cache Memory Organization, Input Output Organisation, Pipelining, Instr Formats & Modes, Control Unit Design
  5. Operating System: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Deadlock, Virtual Memory, Disc Scheduling, File Management, Memory Management, Threads & Process Creation
  6. Computer Networks: Introduction to CN, 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, Network Security, Hardware Basics
  7. Data Structures: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing
  8. Algorithms: Algorithm Analysis, Sorting Algorithms, Greedy Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos, Time Complexity Analysis
  9. Theory Of Computation: Introduction to TOC, Deterministic FA (DFA), Non-Deterministic FA, Regular Expressions, Grammar, Regular Language Properties, Moore & Mealy Machines, Pushdown Automata & CFG, Turing Machines, Complexity Theory
  10. Compiler Design: Intro to Compilers, Lexical Analysis, Grammar & CFG, Syntax Analysis: Top-Down, Syntax Analysis: Bottom-Up, Semantic Analysis & SDT, Intermediate Code Gen, Code Optimization
  11. C language: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums
  12. Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
  13. Emerging Trends & AI: Emerging Tech Trends, Artificial Intelligence, Cloud Computing
  14. Computer Graphics: Basics of Computer Graphics, 2-D Geometrical Transforms and Viewing
  15. Aptitude: Percentage, Ratio and Proportion (Ratios), Logarithm, HCF LCM, Divisibility Rules, Average, Sequence and Series (Series), Number System, Powers and Exponents (Surds and Indices), Algebra, Permutation and Combination, Probability, Profit and Loss, Simple Interest and Compound Interest, Time and Work, Pipe and Cistern, Speed Time and Distance, Mixture and Alligation, Mensuration and Geometry, Mental Ability, Age Problems, Partnership, Statistics, Data Interpretation, Arithmetic, Speed Mathematics and Basic Mathematics, TCS NQT Advanced Quantitative Ability, Gamified / Game Based Aptitude, Linear Algebra, Trigonometry
  16. Reasoning: Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual 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), Analytical Reasoning (Counting Figures Reasoning), Puzzle Solving (Puzzles), Calendar, Clock, Cubes & Dices, Selection Decision Table (Decision Making), Logical Sequence Of Words, Crypt Arithmetic, Venn Diagram, Data Arrangement, Inequality, Analogy, Ranking, Order and Sequence, TCS NQT Advanced Reasoning Ability
  17. English (Verbal Ability): Vocabulary, Noun, Pronoun, Adjectives, Preposition, Articles, Direct and Indirect Speech, Tenses, Conjunction, Subject Verb Agreement (Verb Noun Agreement), Modals, Sentence Re-arrangements (Para Jumbles) (Narrative Sequencing), Sentence Correction (Error Correction), Sentence Completion (Fill in the blanks), Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions), Cloze Test (Cloze Passage), Verbal Analogy (Word Based Analogy), Sentence Construction, Active Passive Voice (Voice), Determiner, Facts, Inference and Judgements, Adverb, Interjection, Verb, English Writing Ability
  18. Engineering Mathematics: Calculus, Vectors
  19. GATE Live Class Recordings 2026: GATE 2026 Live Class
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video is a lecture on the topic of 'Mixtures & Alligations,' presented by an instructor named Yash Jain. The video begins with a title slide and then transitions into a series of problem-solving examples. The first problem involves finding the number of male and female laborers in a factory given the total number of laborers, the total amount of money to be distributed, and the individual amounts for males and females. The instructor uses the alligation method, visually demonstrating the calculation on a digital whiteboard by finding the ratio of the differences between the average value and the individual values. The second problem is similar, involving the number of boys and girls in a class based on the total number of students and the total number of sheets distributed. The instructor again applies the alligation method to find the ratio of boys to girls. The video concludes with a 'Thanks for Watching' screen.

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' visible at the bottom. This transitions to a presentation slide with a geometric background. The slide displays the title 'MIXTURES & ALLIGATIONS' and the author's name, 'By Yash Jain'. In the bottom right corner, a small video feed shows the instructor, Yash Jain, a man with glasses and a red shirt, speaking to the camera. The slide remains static for the duration of this segment, establishing the topic and the presenter.

  2. 2:00 – 5:00 02:00-05:00

    The video displays a series of clips from various news sources, including Discovery and BBC, showing political figures like Narendra Modi and Imran Khan. These clips are used as visual aids to introduce the concept of mixtures, with the instructor explaining that the idea of combining different things is common in real life. The instructor's video feed remains in the bottom right corner, and a copyright notice for 'KNOWLEDGE GATE EDUVENTURES' is visible at the bottom of the screen. This segment serves as a contextual introduction to the mathematical topic.

  3. 5:00 – 9:01 05:00-09:01

    The video presents the first problem: 'There are 70 labourers in a factory. The owner decides to distribute Rs. 3500 among them such that each male gets Rs. 58 and each female gets Rs. 30. Find the number of male and female labourers.' The instructor writes the problem on a digital whiteboard and begins to solve it using the alligation method. He calculates the average amount per laborer as 3500/70 = Rs. 50. He then finds the difference between the average and the individual values: 58 - 50 = 8 and 50 - 30 = 20. The ratio of males to females is 20:8, which simplifies to 5:2. He then calculates the number of males as (5/7) * 70 = 50 and females as (2/7) * 70 = 20. The video then moves to a second problem: 'There are 90 class IX students in a school. In a test, a total of 450 sheets were distributed such that each boy got 3 sheets and each girl got 9 sheets. Find the number of boys and girls.' He applies the same method, finding the average as 450/90 = 5, the differences as 5-3=2 and 9-5=4, and the ratio as 4:2 or 2:1. He calculates the number of boys as (2/3) * 90 = 60 and girls as (1/3) * 90 = 30. The video ends with a 'Thanks for Watching' screen.

The video provides a clear and structured lesson on the alligation method for solving mixture problems. It begins with a formal introduction, uses real-world examples to build context, and then systematically works through two distinct problems. The instructor's methodical approach, which involves writing out the problem, calculating the average, finding the differences, and determining the ratio, effectively demonstrates the application of the alligation rule. The use of a digital whiteboard allows for a clear visual representation of the calculations, making the process easy to follow for students. The progression from a general concept to specific, worked examples ensures a comprehensive understanding of the topic.

Loading lesson…