Short Tricks to Remember Ratio to Percentage Table Part 3

Duration: 9 min

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Module outline

  1. Paper 1 | Reasoning Test: 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, Puzzle Solving (Puzzles), Venn Diagram, Analogy, Ranking, Order and Sequence, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Selection Decision Table (Decision Making), Logical Sequence Of Words, Cubes & Dices, Analytical Reasoning (Counting Figures Reasoning), Calendar, 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, Algebra, Logical Deduction and Induction, Syllogisms and Venn Diagrams, Critical Reasoning, Order, Ranking and Sequence, Reading Comprehension, Profit, Loss and Discount, Constraint Puzzles, Speed, Time and Distance, Traverse Surveying, Ratio and Proportion, Time and Work, Mensuration, Permutations and Combinations, Clocks and Calendars, Data Interpretation, Assembling and Grouping of Shapes, Transformation of Shapes, Three-Dimensional Patterns and Visualization, Cubes and Dice, Vocabulary, Blood Relations, Data Sufficiency
  2. Paper 1 | Numerical Analysis: Number System, HCF LCM, Percentage, Ratio and Proportion (Ratios), Average, Sequence and Series (Series), Powers and Exponents (Surds and Indices), Algebra, Statistics, Data Interpretation, Mental Ability, Arithmetic, Logarithm, Profit and Loss, Simple Interest and Compound Interest, Speed Time and Distance, Mixture and Alligation, 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, Graph Theory, Combinatorics
  3. Paper 1 | General Knowledge: State Wise GK, History, Geography, GK- Current Affairs, Static General Knowledge, Polity, Indian Economy
  4. Paper 1 | DBMS: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, File Organization & Indexing, Relational Algebra, SQL, Transaction Management, Concurrency Control, Relational Calculus, Database Security & Authorization, Database Recovery
  5. Paper 1 | Data Communication & Network: 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, Network Security, Security in Mobile and Wireless Computing, Input Output Organisation, File Management, Hardware Basics, Terms & Abbreviations, Protocols & Services, Network Access Technologies, Cyber Safety and Security, Basics of COA
  6. Paper 2 | System Analysis & Design: Fundamentals of Systems and Information Systems, SDLC and Development Approaches, Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Documentation and Software Requirements Specification (SRS), SDD and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management, Security, Risk Management & Maintenance, extras
  7. Paper 2 | Programming Language (Java): Java Fundamentals, OOPS with Java, Array, String, IO & References, Generic & Collections, Multithreading, Java, Miscellaneous, Control Flow, OOPS with C++, Stack, C Fundamentals, Arrays & Pointers, Object Oriented Technology, Control Flow & Looping, Introduction to Python
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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