Practice Questions

Duration: 7 min

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Inside: a video lesson and guided study material.

Module outline

  1. General Intelligence & Reasoning: Analogy, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Blood Relations, Directions (Direction Test), Ranking, Order and Sequence, Logical Sequence Of Words, Syllogisms, Venn Diagram, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Selection Decision Table (Decision Making), Data Sufficiency, Puzzle Solving (Puzzles), Data Arrangement, Cubes & Dices, Calendar, Clock, Arithmetic, Number System, HCF LCM, Verbal Analogy (Word Based Analogy), Visual Recognition and Figure Completion, Paper Folding and Cutting, Transformation of Shapes, Clocks and Calendars, Direction Sense, Cubes and Dice, Patterns in Two-Dimensional Figures, Seating Arrangements, Analogy and Classification, Logical Deduction and Induction, Alphabet and Word Tests, Mathematical Operations, Series Completion, Simplification and Approximation, Coding and Decoding, Numerical Reasoning, Assembling and Grouping of Shapes, Three-Dimensional Patterns and Visualization, Vocabulary, Number System, Averages, Mixtures and Alligation, Simple and Compound Interest, Percentages, Algebra, Speed, Time and Distance, Seating and Arrangement Puzzles, Traverse Surveying, Order, Ranking and Sequence, Constraint Puzzles, Syllogisms and Venn Diagrams, Reading Comprehension, Critical Reasoning, Permutations and Combinations, Narrative Sequencing, Project Monitoring, Resources and Safety, Profit, Loss and Discount, Ratio and Proportion, Time and Work, Mensuration, Data Interpretation, Powers, Surds and Logarithms, Sequences and Series, Articles and Determiners, Sentence Completion, Data Sufficiency, Blood Relations, Simple Interest and Compound Interest, Mixture and Alligation, Sequence and Series (Series), Speed Time and Distance, Algebra, Profit and Loss, Powers and Exponents (Surds and Indices), Permutation and Combination
  2. General Awareness: Physics, Chemistry, Biology, History, Geography, Polity, Indian Economy, Environment, Static General Knowledge, GK- Current Affairs, Artificial Intelligence, MS Office Applications, Terms & Abbreviations, Keyboard Shortcuts, Evolution of Indian Banking (Banking & Financial Awareness), Emerging Tech Trends
  3. Engineering Mathematics: Set Theory, Relations, Functions, Graph Theory, Group Theory, Propositional and Predicate Logic, Linear Algebra, Calculus, Probability, Statistics, Signal Space and Optimum Detection, Probability, Statistics
  4. Digital Logic: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation, Floating Point Rep, Number Systems and Codes, Registers and Counters, Boolean Algebra and Logic Gates, Microprocessors and Microcontrollers, Logic Families and CMOS Logic, Microprocessors, Logic Gates and Boolean Algebra, Minimization of Boolean Functions, Timing, Hazards and Testing, Logic Families, Combinational Logic Design, Arithmetic Circuits, Waveform Generators and Timer Circuits, Semiconductor Memories and Programmable Logic Devices, Combinational Logic Circuits, Latches and Flip-Flops, Finite State Machines, Sequential Circuits and State Machines, Minimization of Boolean Functions, Arithmetic Circuits, Latches and Flip-Flops, Number Systems and Codes, Registers and Counters
  5. Computer Organisation & Architecture: Basics of COA, Cache Memory Organization, Input Output Organisation, Pipelining, Instr Formats & Modes, Control Unit Design, Programming the Basic Computer, Register Transfer and Microoperations, Semiconductor Memories and Programmable Logic, Processor Organization and Instructions, Memory Hierarchy and Input/Output, Registers and Counters
  6. Programming & Data Structures: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling, Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing, HTML Basics, OOPS with C++, Java, Object Oriented Technology
  7. Databases: 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, Database Recovery, Database Security & Authorization
  8. Algorithms: Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Greedy Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos
  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, Run Time Environment
  11. Operating System: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory, Disc Scheduling, File Management, Security, Windows OS, Distributed Systems, Unix OS, Linux OS
  12. 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, Hardware Basics, Data Communication, Website, Browser & Services, Web Design & Development, Network Security, Cyber Threats and Malware Attacks, Cyber Safety and Security
  13. Full Length Mock Tests:
  14. Sectional Tests:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

The video is an academic lecture on graph theory, delivered by Sanchit Jain of Knowledge Gate Educator. The lesson focuses on identifying properties of graphs, specifically planarity and isomorphism, using hand-drawn diagrams on a whiteboard. The instructor systematically presents pairs of graphs, asking viewers to determine if they share specific properties, indicated by writing 'T' (True) or 'F' (False) below them. He uses red markings to highlight specific vertices and paths, guiding the viewer's attention to critical structural features.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The instructor begins with two complex graphs. The first has vertices labeled a through g, resembling a house shape with internal diagonals connecting to a central point. The second has vertices 1 through 7, forming a star-like structure with a central vertex. He circles vertices 'e', 'f', and 'c' in the first graph and vertex '4' in the second, possibly highlighting degrees or specific connections. He writes a 'J' below. He then shows a hexagon with internal diagonals and a rectangle with internal lines, marking them with a 'T'. He draws red squiggly lines on these graphs, tracing paths around vertices 'a', 'b', '6', and '7', likely demonstrating a traversal or checking for planarity.

  2. 2:00 – 5:00 02:00-05:00

    The lecture progresses to a new set of examples. A pentagon-like graph and a cone-shaped graph are shown and marked with a 'T'. The instructor draws red squiggly lines around vertices 'c', 'f', '1', and '6'. Next, a square graph with internal diagonals and a square with internal lines are presented and marked with an 'F'. He circles vertices 'a', 'b', 'c' and '1', '2', '4', indicating these might be the reason for the 'F' (perhaps non-planar subgraphs like K3,3 or K5). He continues with a prism graph and a rectangular graph, circling vertex 'b'. He then shows a square with a triangle attached and a square with internal lines, marking them 'T'. Finally, a square with internal lines and a larger square with internal lines are shown, marked 'F', and then another pair marked 'T' with vertex '6' circled.

  3. 5:00 – 6:34 05:00-06:34

    The final segment displays a collection of eight graphs arranged in two rows. The top row includes a cube-like graph, a hexagon with diagonals, a cube, and a bipartite graph (K3,3). The instructor draws red curved lines connecting the first three graphs to the bipartite graph, suggesting a discussion on isomorphism or equivalence. The bottom row features a bipartite graph, a hexagon, a tetrahedron, and a pentagon with diagonals. He draws red lines connecting the bipartite graph to the hexagon and the hexagon to the tetrahedron. He places a double underline under the final pentagon graph, possibly indicating it as the correct answer or a key example. The video ends with the 'Knowledge Gate Educator' branding.

The video provides a visual walkthrough of graph theory problems, likely from a competitive exam preparation context. The instructor uses a binary 'T'/'F' system to test the planarity or isomorphism of graph pairs. By circling vertices and drawing red paths, he guides the viewer's attention to critical structural features like cycles, crossings, or specific subgraphs (like K3,3 or K5) that determine the graph's properties. The final segment consolidates these concepts by showing a gallery of graphs and drawing connections between isomorphic pairs, reinforcing the idea that different drawings can represent the same underlying graph structure.

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