Tricks for Comparision Based Questions

Duration: 11 min

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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
  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 solving time and work problems, a common topic in quantitative aptitude. The instructor, Yash Jain Sir, uses a digital whiteboard to present and solve three distinct problems. The first problem involves finding the time for 8 men and 12 women to complete a task, given the work rates of 4 men and 6 women in 5 days and 6 men and 4 women in 4 days. The instructor sets up equations using variables for the efficiency of a man (M) and a woman (W), equates the total work, and solves for the relationship between M and W. The second problem, from Wipro NLTH 2019, involves men and boys, where 6 men and 8 boys can complete a work in 10 days, and 26 men and 48 boys can do it in 2 days. The instructor uses a scaling method to find the work rate of 15 men and 20 boys. The third problem, from GATE ECE 2017, involves men and women building a bridge, with different combinations and timeframes. The instructor uses the concept of total work and equates the work done in different scenarios to find the number of men needed. The video concludes with a final problem on individual work rates, where the combined time for three people is calculated using the formula 1/(1/a + 1/b + 1/c). The overall teaching style is methodical, focusing on setting up equations and solving them step-by-step.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with a title card for a 'TIME & WORK' lecture. The instructor, Yash Jain Sir, introduces the first problem (Q1) on a digital whiteboard. The problem states: '4 Men and 6 Women can do a work in 5 days. 6 Men and 4 women can do the same work in 4 days. How many days will it take to complete the work if 8 men and 12 women work together?'. The instructor begins by defining the formula for total work as 'Men * Efficiency * No. of days'. He then assigns variables: 'Let efficiency of a man be M' and 'Let efficiency of a woman be W'. He starts writing the equation for the first scenario: 'Total Work = 4M * 5 = (4M + 6W) * 5'.

  2. 2:00 – 5:00 02:00-05:00

    The instructor continues to solve the first problem. He writes the equation for the second scenario: 'Total Work = 6M * 4 = (6M + 4W) * 4'. He then equates the two expressions for total work: '(4M + 6W) * 5 = (6M + 4W) * 4'. He expands both sides: '20M + 30W = 24M + 16W'. He simplifies the equation by moving terms: '30W - 16W = 24M - 20M', which becomes '14W = 4M'. He then solves for the relationship between M and W: 'M = 14W / 4 = 3.5W'. He then calculates the total work using the first scenario: 'Total Work = (4M + 6W) * 5'. He substitutes M with 3.5W: 'Total Work = (4*3.5W + 6W) * 5 = (14W + 6W) * 5 = 20W * 5 = 100W'.

  3. 5:00 – 10:00 05:00-10:00

    The instructor proceeds to find the time for 8 men and 12 women to complete the work. He calculates their combined efficiency: '8M + 12W'. He substitutes M with 3.5W: '8*3.5W + 12W = 28W + 12W = 40W'. He then uses the formula 'Time = Total Work / Combined Efficiency'. He substitutes the values: 'Time = 100W / 40W = 2.5 days'. He then moves to the second problem (Q2) from Wipro NLTH 2019, which states: '6 Men and 8 Boys can do a work in 10 days while 26 Men and 48 Boys can do the same work in 2 days. How many days will it take to complete the work if 15 men and 20 boys work together?'. He writes the first equation: '6M + 8B = 10 days'. He then multiplies this equation by 2.5 to get the work rate of 15 men and 20 boys: '15M + 20B = 10 / 2.5 = 4 days'. He then moves to the third problem (Q3) from GATE ECE 2017, which involves men and women building a bridge. He writes the first scenario: '1200 men and 500 women can build a bridge in 2 weeks'. He then writes the second scenario: '900 men and 250 women can build the bridge in 3 weeks'. He equates the total work: '(1200M + 500W) * 2 = (900M + 250W) * 3'. He expands both sides: '2400M + 1000W = 2700M + 750W'. He simplifies: '1000W - 750W = 2700M - 2400M', which becomes '250W = 300M'. He solves for W: 'W = 300M / 250 = 1.2M'. He then calculates the total work: 'Total Work = (1200M + 500W) * 2'. He substitutes W with 1.2M: 'Total Work = (1200M + 500*1.2M) * 2 = (1200M + 600M) * 2 = 1800M * 2 = 3600M'. He then calculates the time for 1200 men to build the bridge in one week: 'Time = Total Work / (1200M * 1) = 3600M / 1200M = 3 weeks'. He then moves to the final problem (Q4), which states: 'Manmohan Ji, Sonia Gandhi Ji and Kejriwal Ji can complete a piece of work in 24, 6 and 12 days respectively when they work alone. Working together, they will complete the same work in?'. He writes the formula for combined work rate: '1 / (1/24 + 1/6 + 1/12)'. He calculates the sum: '1/24 + 4/24 + 2/24 = 7/24'. He then calculates the time: '24/7 days'.

  4. 10:00 – 10:53 10:00-10:53

    The video concludes with a final problem on the screen. The problem states: 'Manmohan Ji, Sonia Gandhi Ji and Kejriwal Ji can complete a piece of work in 24, 6 and 12 days respectively when they work alone. Working together, they will complete the same work in?'. The instructor writes the formula for combined work rate: '1 / (1/24 + 1/6 + 1/12)'. He calculates the sum: '1/24 + 4/24 + 2/24 = 7/24'. He then calculates the time: '24/7 days'. The video ends with a 'THANKS FOR WATCHING' screen.

The video presents a structured and progressive lesson on solving time and work problems. It begins with a foundational problem that introduces the core concept of equating total work using variables for individual efficiencies. The instructor methodically demonstrates how to set up and solve equations to find the relationship between different work rates. The lesson then transitions to more complex problems, including those with different worker types (men/boys, men/women) and those requiring the calculation of combined work rates. The key methodological takeaway is the consistent application of the formula 'Total Work = Men * Efficiency * Time' and the strategic use of algebra to solve for unknowns. The video effectively uses a digital whiteboard to clearly illustrate each step of the problem-solving process, making it a valuable resource for students preparing for competitive exams.

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