Practice Questions

Duration: 4 min

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Module outline

  1. Quantitative Aptitude: Ratio and Proportion (Ratios), Data Interpretation, Mixture and Alligation, Permutation and Combination, Number System, Sequence and Series (Series), Speed Time and Distance, Speed Mathematics and Basic Mathematics, Algebra, Percentage, Profit and Loss, Simple Interest and Compound Interest, Powers and Exponents (Surds and Indices), Time and Work, Mensuration and Geometry, Partnership
  2. Reasoning Ability: Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Data Sufficiency, Seating Arrangements, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Directions (Direction Test), Ranking, Order and Sequence, Syllogisms, Blood Relations, Puzzle Solving (Puzzles), Inequality, Machine Input-Output
  3. English Language: Vocabulary, Noun, Subject Verb Agreement (Verb Noun Agreement), Adjectives, Tenses, Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions), Cloze Test (Cloze Passage), Sentence Correction (Error Correction), Sentence Completion (Fill in the blanks), Sentence Re-arrangements (Para Jumbles) (Narrative Sequencing), Sentence Construction, Pronoun, Preposition, Conjunction, Adverb, Verb, Modals, Articles, Determiner, Interjection
  4. General Awareness: Evolution of Indian Banking (Banking & Financial Awareness), GK- Current Affairs, Static General Knowledge, Indian Economy
  5. C Concepts + MCQs (IT Specialist): C Programming by Yash Sir, C Language Core
  6. Java (IT Specialist): Java
  7. Python (IT Specialist): Python for Placements by Yash Sir, Python Basics
  8. OOPs (IT Specialist): Object Oriented Programming (OOPS)
  9. DBMS (IT Specialist): Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, File Organization & Indexing, Relational Algebra, Relational Calculus, Transaction Management, Concurrency Control, Database Recovery, ORDBMS, Database Security & Authorization, Query Processing & Optimization, Enhanced Data Models, Data Warehousing & Mining, Big Data Systems, NoSQL
  10. SQL (IT Specialist): SQL
  11. Software Engineering (IT Specialist): Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
  12. Data Structure (IT Specialist): Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing
  13. Operating System (IT Specialist): Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Deadlock, Threads & Process Creation, Memory Management, Virtual Memory, Disc Scheduling, File Management, Windows OS, Linux OS, Security, Distributed Systems, Virtual Machines
  14. Compiler Design (IT Specialist): 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
  15. Computer Architecture (IT Specialist): Basics of COA, Floating Point Rep, Cache Memory Organization, Input Output Organisation, Pipelining, Instr Formats & Modes, Control Unit Design, Register Transfer and Microoperations, Multiprocessors, Programming the Basic Computer
  16. Data Communication & Networking (IT Specialist): 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, Hardware basics, Network Security
  17. Descriptive Test (Main Exam): English Writing Ability
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video provides a comprehensive guide on removing left recursion from Context-Free Grammars (CFG), a crucial step in compiler design and formal language theory. The instructor begins by defining the general structure of a left-recursive grammar, distinguishing between recursive productions ($A\alpha$) and non-recursive ones ($eta$). He then presents the standard transformation algorithm, introducing a new non-terminal symbol $A'$ to handle the recursive steps. The lecture transitions into practical application, working through specific examples like $A

ightarrow AaA / b$ and $S

ightarrow Sab / c$ to demonstrate how to apply the transformation rules and derive the equivalent non-left-recursive grammar. The instructor, Sanchit Jain Sir, uses a digital whiteboard to clearly illustrate each step of the process.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The instructor starts by displaying the general form of a left-recursive grammar rule on the screen: $A ightarrow A\alpha_1 / A\alpha_2 / \dots / A\alpha_n / eta_1 / eta_2 / \dots / eta_m$. He explains that the productions starting with $A$ on the right-hand side are the left-recursive ones, while those starting with $eta$ are non-recursive. He then writes the transformation algorithm on the whiteboard. The new set of productions for $A$ becomes $A ightarrow eta_1 A' / eta_2 A' / \dots / eta_m A'$, and the new productions for the auxiliary non-terminal $A'$ become $A' ightarrow \alpha_1 A' / \alpha_2 A' / \dots / \alpha_n A' / \epsilon$. He explicitly writes $\epsilon$ to denote the empty string, ensuring students understand that the recursion can terminate. The "Knowledge Gate Educator" logo is visible throughout.

  2. 2:00 – 4:00 02:00-04:00

    Next, the instructor demonstrates the application of this algorithm with a concrete example: $A ightarrow AaA / b$. He breaks down the rule, identifying the recursive part $\alpha$ as $aA$ and the non-recursive part $eta$ as $b$. He writes the resulting non-left-recursive productions: $A ightarrow bA'$ and $A' ightarrow aAA' / \epsilon$. Following this, he introduces a second example: $S ightarrow Sab / c$. He again identifies the components, setting $\alpha = ab$ and $eta = c$. He derives the final grammar rules on the board: $S ightarrow cS'$ and $S' ightarrow abS' / \epsilon$, showing how the structure remains consistent regardless of the specific terminals or non-terminals involved. He underlines the components to help students visualize the separation.

The lesson effectively bridges theoretical definitions with practical problem-solving. By first establishing the general mathematical form of left recursion and its corresponding elimination algorithm, the instructor provides a robust framework. This framework is then immediately tested against concrete examples, reinforcing the student's ability to identify $\alpha$ and $eta$ components and correctly construct the new grammar rules involving the auxiliary non-terminal $A'$. The progression from general theory to specific application ensures a clear understanding of the removal process.

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