Short Trick to Find bigger ratio out of given 2 ratios

Duration: 9 min

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Inside: a video lesson and guided study material.

Module outline

  1. Section A | English: Vocabulary, Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions), Preposition, Sentence Correction (Error Correction), Sentence Completion (Fill in the blanks), Articles, Sentence Re-arrangements (Para Jumbles) (Narrative Sequencing), Verbal Analogy (Word Based Analogy)
  2. Section A | Quant Aptitude: Ratio and Proportion (Ratios), Mixture and Alligation, Permutation and Combination, Number System, HCF LCM, Sequence and Series (Series), Speed Time and Distance, Arithmetic, Algebra, Powers and Exponents (Surds and Indices), Average, Age Problems, Percentage, Profit and Loss, Partnership, Time and Work, Simple Interest and Compound Interest, Mensuration and Geometry, Probability, Pipe and Cistern
  3. Section A | Reasoning: Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Data Sufficiency, Calendar, Clock, Blood Relations, Directions (Direction Test), Seating Arrangements, Ranking, Order and Sequence, Puzzle Solving (Puzzles)
  4. Section B | C Programming: C Programming by Yash Sir, Coding Questions by Yash Sir
  5. Section B | Data Structures: Algorithm Analysis, Greedy Algorithms, Time Complexity Analysis, Sorting Algorithms, Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs
  6. Section B | OOP (C++): Object Oriented Programming (OOPS), Programming in C++
  7. Section B | OS: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory, Disc Scheduling, File Management, Windows OS
  8. Section B | Networking: 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
  9. Section B | AI & Big Data Basics: AI & ML by Arun Sir, Big Data Systems
  10. Section C | Digital Electronics: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation, Analog-Digital Conversion
  11. Section A, C | Comp. Fundamentals, COA: Basics of COA, Floating Point Rep, Cache Memory Organization, Input Output Organisation, Pipelining, Instr Formats & Modes, Control Unit Design, Register Transfer and Microoperations, Multiprocessors, Programming the Basic Computer
  12. MOCK TEST:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video lecture, presented by Yash Jain of Knowledge Gate Eduventures, focuses on the mathematical topic of 'Ratio & Proportion', specifically detailing the methods for comparing ratios. The session begins with a clear definition of a ratio as a comparison between two quantities, supported by visual diagrams illustrating parts and wholes. The core of the lesson is dedicated to solving problems that ask students to determine which of two given ratios is greater or smaller. The instructor systematically introduces and demonstrates two primary techniques for this comparison: the Least Common Multiple (LCM) method, which involves converting fractions to a common denominator, and the cross-multiplication method, a shortcut for comparing fractions without finding a common denominator. Through a series of worked examples on a digital whiteboard, the video guides students through the step-by-step calculations required to solve these problems accurately. The visual style includes colorful backgrounds and handwritten notes to keep the content engaging.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with a title slide featuring the text 'RATIO & PROPORTION' next to a 3D pie chart. The instructor then displays a definition slide stating 'Ratio: a comparison of 2 quantities' with a visual of colored dots representing parts and a whole. The topic shifts to 'Comparing Ratios' with a pink background and space-themed doodles like a rocket and a planet. The instructor writes the general notation a:b and c:d on the screen to establish the variables for comparison. This section establishes the theoretical groundwork before moving to calculations. The instructor is visible in the bottom right corner throughout.

  2. 2:00 – 5:00 02:00-05:00

    The first problem is introduced on a yellow background: 'Which is greater 5:12 or 3:8?'. The instructor writes the ratios as fractions 5/12 and 3/8. He first solves this using the LCM method, identifying 24 as the common denominator. He multiplies 5/12 by 2/2 to get 10/24 and 3/8 by 3/3 to get 9/24. He compares the numerators to conclude 5:12 is greater. Next, he demonstrates the cross-multiplication method, writing 5 x 8 and 12 x 3. He calculates the products as 40 and 36, writing the inequality 40 > 36 to confirm the result. This dual-method approach reinforces the concept. The instructor uses a digital pen to write the equations.

  3. 5:00 – 8:35 05:00-08:35

    The instructor presents a second problem: 'Which is smaller 3:4 or 9:16?'. He applies the cross-multiplication method, calculating 3 x 16 = 48 and 4 x 9 = 36. He explains that since 48 > 36, the first ratio is larger, making 9:16 the smaller one. He also shows the LCM method by converting 3/4 to 12/16 to compare with 9/16. The final problem is 'Which is greater 9:20 or 8:13?'. He uses cross-multiplication again, computing 9 x 13 = 117 and 20 x 8 = 160. Since 160 > 117, he concludes 8:13 is greater. The video ends with a 'THANKS FOR WATCHING' slide. The instructor gestures with his hands to emphasize points.

The video provides a structured and practical guide to comparing ratios, a fundamental skill in mathematics. By starting with definitions and progressing to multiple worked examples, the instructor ensures that students grasp both the conceptual understanding and the procedural application of the topic. The inclusion of two different methods—LCM and cross-multiplication—allows students to choose the approach that suits them best, whether they prefer finding common denominators or using the faster cross-multiplication shortcut. The clear visual presentation of calculations on the screen aids in following the logical steps required to solve ratio comparison problems effectively. The consistent use of color coding and clear handwriting helps in distinguishing between different steps and values.

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