Short Tricks to Remember Ratio to Percentage Table Part 3

Duration: 9 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 provides a comprehensive lesson on percentages and geometric progressions, led by instructor Yash Jain. The session begins with a visual introduction featuring falling dice marked with percentage signs, setting the theme for the lecture. The core content focuses on memorizing common ratio-to-percentage conversions and applying these concepts to solve summation problems involving geometric series. The instructor uses a combination of digital slides and handwritten calculations to demonstrate methods for quick mental math and pattern recognition.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with a title slide displaying the word PERCENTAGE in bold black letters above blue dice falling against a white background. The scene transitions to a chalkboard-style interface where PERCENTAGES - By YASH JAIN is written in white chalk. The instructor introduces a RATIO TO PERCENTAGE TABLE which serves as a reference guide. The table lists ratios in the left column and their corresponding percentages in the right. Visible entries include 1/1 equal to 100%, 1/2 equal to 50%, 1/3 equal to 33.33%, 1/4 equal to 25%, 1/5 equal to 20%, 1/8 equal to 12.5%, 1/16 equal to 6.25%, and 1/32 equal to 3.125%. This section establishes the foundational values required for rapid percentage calculation.

  2. 2:00 – 5:00 02:00-05:00

    The lesson progresses to a more detailed table covering ratios from 1/20 to 1/37. The instructor performs manual calculations on the right side of the screen to explain the derivation of these values. For instance, he writes 1/25 = 4% by showing the division of 100 by 25. He similarly calculates 1/30 as 3.33%. A significant portion of this segment is dedicated to explaining the value of 1/27, which is listed as 3.70%. The instructor writes complex arithmetic on the board, including 70 + 14 = 84 and 70 - 14 = 56, likely as a mnemonic or calculation aid for the 3.70% value. He circles the entry for 1/27 and 3.70% to highlight its importance. The table also displays values for 1/26 (3.84%), 1/28 (3.56%), 1/29 (3.42%), and 1/37 (2.70%). The instructor emphasizes these specific fractions as they are common in competitive exams.

  3. 5:00 – 9:16 05:00-09:16

    The final section shifts focus to a geometric progression GP summation problem. The instructor writes a long series equation: 1/2 + 1/4 + 1/8 + 1/16 + 1/32 + ... + 1/1024 + 1/2048 + 1/4096. He identifies this as a GP and lists four key properties on the right: decreasing, half, summation, and last term. To demonstrate the summation pattern, he works through smaller examples. He shows that 1/2 equals 1/2, 1/2 + 1/4 equals 3/4, and 1/2 + 1/4 + 1/8 equals 7/8. He circles the last term 1/64 in a separate example to illustrate that the numerator of the sum is always one less than the denominator of the last term. The video concludes with a black slide displaying THANKYOU FOR WATCHING in orange and white text.

The lecture effectively bridges basic percentage conversion with advanced series summation. By memorizing the ratio table, students can quickly solve percentage problems. The GP section teaches a pattern-based approach to summation, where the sum is always one less than the denominator of the last term. This combination of memorization and pattern recognition is a key strategy for time-efficient problem solving in mathematics.

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