Practice Questions

Duration: 8 min

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Inside: a video lesson and guided study material.

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, Cloud Computing
  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 video is a tutorial on solving two quantitative aptitude problems related to profit and loss, presented by an instructor. The first problem, from an Accenture exam, involves finding the percentage loss (b%) when a man sells 12 units of a product at $10 with a loss of b% and then sells 12 units at $12 with a profit of b%. The instructor uses a 'short trick' method, setting up the equation 10/(100-b) = 12/(100+b) and solving for b, which results in b = 11%. The second problem, from an L&T Infotech exam, asks for the selling price of the second cycle to achieve an overall 15% profit, given that the first cycle was sold at a 20% loss. The instructor uses a 'short trick' method, calculating the total cost price (Rs. 2400), the desired total selling price (Rs. 2760), and the selling price of the first cycle (Rs. 960), leading to the final answer of Rs. 1800. The video uses a green chalkboard for calculations and includes on-screen text for the questions and options.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with a title card showing a 3D figure on a balance scale with 'PROFIT' and 'LOSS' on either side, setting the theme of the lesson. It then transitions to a screen displaying the first problem (Q1) from an Accenture exam. The problem states: 'Mr. Ajay Devgan sold 12 Vimal Paan Masala at 10 dollars had a loss of b% and again sold 12 Vimal at 12 dollars had a profit of b%. Find the value of b?'. The options are a) 10%, b) 9.09%, c) 8%, d) 11%. The instructor, Yash Jain Sir, introduces the problem and the 'short trick' method to solve it, which involves equating the cost price (CP) from both transactions. The on-screen text also includes a meme with the text 'Kya kha rahi ho?' and 'Chocolate' and 'Vimal khaya karo'. The instructor begins to write the first part of the equation on the green board: 'Rs. = Rs. / (100-b) = 12 / (100+b)'. The video also shows a banner at the bottom with social media links for the 'Knowledge Gate Educator'.

  2. 2:00 – 5:00 02:00-05:00

    The instructor continues to solve the first problem on the green chalkboard. He writes the equation 10/(100-b) = 12/(100+b) and proceeds to cross-multiply, writing '10(100+b) = 12(100-b)'. He then expands the equation to '1000 + 10b = 1200 - 12b'. The instructor combines like terms, writing '10b + 12b = 1200 - 1000', which simplifies to '22b = 200'. He then divides both sides by 22, writing 'b = 200/22', which simplifies to 'b = 100/11'. He concludes that b = 9.09%, which corresponds to option (b). The on-screen text 'Short Trick' is visible, and the instructor explains that this method is faster than the traditional approach. The video also shows a banner at the bottom with social media links for the 'Knowledge Gate Educator'.

  3. 5:00 – 7:55 05:00-07:55

    The video transitions to the second problem (Q2) from an L&T Infotech exam. The problem states: 'A man buys two cycles for Rs. 1200 each, he sells first cycle at a loss of 20%, if he desires to get a profit of 15% on whole, for how much he should sell his 2nd cycle?'. The options are a) Rs. 2000, b) Rs. 1500, c) Rs. 1800, d) Rs. 1700. The instructor introduces the 'short trick' method. He calculates the total cost price (CP) as 1200 + 1200 = Rs. 2400. He then calculates the desired total selling price (SP) for a 15% profit as 2400 * 1.15 = Rs. 2760. He calculates the selling price of the first cycle at a 20% loss as 1200 * 0.8 = Rs. 960. He then subtracts the first cycle's SP from the total desired SP: 2760 - 960 = Rs. 1800. The instructor concludes that the answer is Rs. 1800, which is option (c). The video ends with a 'THANKS FOR WATCHING' screen.

The video presents a structured tutorial on solving profit and loss problems using efficient 'short trick' methods. It begins with a problem where the same percentage loss and profit are applied to different selling prices, requiring the student to find the percentage value by equating the cost price. The solution involves setting up a proportion and solving a linear equation. The second problem is a classic two-item transaction where the goal is to find the selling price of the second item to achieve a desired overall profit, given the loss on the first. The instructor demonstrates a methodical approach by calculating the total cost, the total desired revenue, and then the required revenue from the second item. The core learning objective is to apply these shortcuts to solve complex problems quickly, which is essential for competitive exams.

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