Stack recursion Practice questions

Duration: 3 min

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Module outline

  1. Quantitative Aptitude: Number System, Divisibility Rules, HCF LCM, Percentage, Ratio and Proportion (Ratios), Average, Profit and Loss, Simple Interest and Compound Interest, Mixture and Alligation, Partnership, Age Problems, Time and Work, Pipe and Cistern, Speed Time and Distance, Algebra, Arithmetic, Data Interpretation, Sequence and Series (Series), Logarithm, Powers and Exponents (Surds and Indices), Permutation and Combination, Probability, Speed Mathematics and Basic Mathematics, Trigonometry
  2. Logical Reasoning: Coding Decoding, Blood Relations, Directions (Direction Test), Ranking, Order and Sequence, Seating Arrangements, Puzzle Solving (Puzzles), Data Arrangement, Syllogisms, Inequality, Data Sufficiency, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Series (Number and Letter Series) (Numerical Relations and Reasoning), Venn Diagram, Logical Sequence Of Words, Calendar, Clock, Cubes & Dices, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning)
  3. Verbal Ability: Noun, Pronoun, Adjectives, Verb, Adverb, Tenses, Subject Verb Agreement (Verb Noun Agreement), Articles, Preposition, Conjunction, Modals, Determiner, Vocabulary, 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), Active Passive Voice (Voice), Direct and Indirect Speech, Sentence Construction
  4. Data Structures (Domain Test): Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing
  5. Algorithms (Domain Test): Algorithm Analysis, Sorting Algorithms, Time Complexity Analysis, Greedy Algorithms
  6. OOPs (Domain Test): Object Oriented Programming (OOPS)
  7. DBMS (Domain Test): 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
  8. SQL (Domain Test): SQL
  9. Operating Systems (Domain Test): 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
  10. Computer Networks (Domain Test): 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, Mobile Technology, Cloud Computing and IoT, Cyber and Info Security
  11. Coding: Coding Questions by Yash Sir, C Programming by Yash Sir, Programming in C++, Java, Python for Placements by Yash Sir
  12. Written English Test: English Writing Ability
  13. Psychometric Test: Behavioral Assessment (Behavioral Competency Profiling) (Psychometric Test)
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

The video presents a computer science problem asking to identify the functionality of a given recursive C function. The function fun(int x, int y) takes two integer arguments. The instructor analyzes the code structure, identifying a base case where y equals 0 returns 0, and a recursive step that adds x to the result of fun(x, y-1). To understand the behavior, the instructor sets up a concrete example with x = 2 and y = 4. He manually traces the recursion, expanding the function calls step-by-step until the base case is reached. After calculating the final result, he evaluates four multiple-choice options to find the mathematical equivalent of the function's operation.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The segment begins with the problem statement and code display. The instructor underlines the condition if (y == 0) and the return statement return 0. He then introduces test values x = 2 and y = 4 to trace the execution. He writes fun(2, 4) on the board and begins expanding the recursive calls. The expansion shows Return (2 + fun(2, 3)), followed by Return (2 + fun(2, 2)), and Return (2 + fun(2, 1)). The tracing continues until the base case Return (2 + fun(2, 0)) is reached. The instructor underlines y == 0 to emphasize the stopping condition. He then starts the backtracking process, calculating 2 + 0 = 2 for the base case return value. This section establishes the recursive structure and begins the manual execution trace.

  2. 2:00 – 3:24 02:00-03:24

    The instructor continues the backtracking calculation from the previous window. He computes the return values for each recursive level: fun(2, 1) returns 2, fun(2, 2) returns 4, fun(2, 3) returns 6, and finally fun(2, 4) returns 8. With the result 8 established, he systematically checks the provided options. He calculates x + y as 6, x + x*y as 10, x*y as 8, and x^y as 16. He marks option (A) and (B) as incorrect. He identifies that option (C) x*y matches the calculated result of 8. He places a checkmark next to option (C) and crosses out the others, confirming that the function performs multiplication. The video concludes with the correct answer identified.

The lecture effectively demonstrates a standard technique for analyzing recursive algorithms: manual tracing with concrete inputs. By substituting specific values, the abstract recursion becomes a concrete arithmetic sequence. The instructor shows that adding x repeatedly y times is mathematically equivalent to multiplying x by y. This method of tracing execution flow and comparing results against options is a crucial skill for solving recursion problems in computer science exams. It highlights the importance of understanding base cases and recursive steps in algorithm design.

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