Finding number of males & females using alligation rule

Duration: 9 min

This video lesson is available to enrolled students.

Inside: a video lesson and guided study material.

Module outline

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
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
General Knowledge & Current Affairs (India + Rajasthan): History, Geography, Polity, Indian Economy, Static General Knowledge, State Wise GK, GK- Current Affairs, Environment, Physics
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
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
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
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
MS Office & Data Processing: MS Office Applications, Basics of DBMS
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 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

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.
2:00 – 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.
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.