Recursion Practice questions

Duration: 3 min

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Inside: a video lesson and guided study material.

Module outline

  1. English Comprehension/Verbal Ability: Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions), Vocabulary, Sentence Correction (Error Correction), Sentence Completion (Fill in the blanks), Sentence Re-arrangements (Para Jumbles) (Narrative Sequencing), Subject Verb Agreement (Verb Noun Agreement), Tenses, Verb, Articles, Preposition, Conjunction, Pronoun, Noun, Adjectives, Adverb, Modals, Cloze Test (Cloze Passage), Active Passive Voice (Voice), Direct and Indirect Speech, Sentence Construction
  2. Logical Ability: Coding Decoding, Directions (Direction Test), Analogy, Inequality, Data Sufficiency, Series (Number and Letter Series) (Numerical Relations and Reasoning), Syllogisms, Seating Arrangements, Puzzle Solving (Puzzles), Blood Relations, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Ranking, Order and Sequence, Logical Sequence Of Words, Data Arrangement, Venn Diagram, Calendar, Clock
  3. Quantitative Ability: Logarithm, Permutation and Combination, Probability, Profit and Loss, Speed Time and Distance, Mixture and Alligation, Partnership, Simple Interest and Compound Interest, Percentage, Ratio and Proportion (Ratios), Average, Time and Work, Pipe and Cistern, Number System, Divisibility Rules, HCF LCM, Algebra, Powers and Exponents (Surds and Indices), Mensuration and Geometry, Age Problems, Data Interpretation, Sequence and Series (Series)
  4. Basic Analytical Ability: Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Analytical Reasoning (Counting Figures Reasoning), Cubes & Dices, Selection Decision Table (Decision Making)
  5. Computer Programming: Pseudo Codes, Coding Questions by Yash Sir, C Programming by Yash Sir, Programming in C++, Java, Python for Placements by Yash Sir
  6. DBMS (Computer Science): Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Transaction Management, Concurrency Control, Database Security & Authorization
  7. SQL (Computer Science): SQL
  8. OS (Computer Science): Introduction to OS, Process Management, CPU Scheduling, Deadlock, Process Synchronization, Threads & Process Creation, Memory Management, Virtual Memory, File Management
  9. Computer Networks (Computer Science): 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
  10. Data Structures (Computer Science): Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing
  11. OOPs (Computer Science): Object Oriented Programming (OOPS)
  12. Software Engineering (Computer Science): Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
  13. SVAR Conversational - Spoken English: Communication Assessment
  14. HR Interview: MR & HR Interview Preparation
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

The video presents a computer science problem asking for the output of a specific C function `fun(int n)` when called with `n = 25`. The instructor displays the function code, which includes a base case check `if (n == 0) return;`, a print statement `printf("%d", n%2);`, and a recursive call `fun(n/2);`. He explains that the function executes the print statement before the recursive call, crucial for determining output order. He underlines key lines, pointing out `n%2` and `n/2` operations. The background features a watermark for KnowledgeGate.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    In the first segment, the instructor introduces the problem and begins tracing `fun(25)`. He notes that since 25 is not 0, the function prints `25 % 2` (1) and calls `fun(12)`. He continues, showing `fun(12)` prints 0 and calls `fun(6)`, and `fun(6)` prints 0 and calls `fun(3)`. The instructor draws a tree diagram on the right side of the whiteboard to visualize this recursive structure, writing `fun(25)` at the top and branching down to `fun(12)`, `fun(6)`, `fun(3)`, and `fun(1)`. He uses a digital pen to write on the screen, clearly marking the flow of execution.

  2. 2:00 – 3:00 02:00-03:00

    In the final segment, the instructor completes the trace by showing that `fun(1)` prints 1 and calls `fun(0)`. He demonstrates that `fun(0)` hits the base case condition `if (n == 0)` and returns immediately without printing anything. He then aggregates the printed values in the order they occurred: 1, 0, 0, 1, 1. He writes the final sequence "10011" in a green box on the screen. Comparing this result with the given multiple-choice options—(A) 11001, (B) 10011, (C) 11111, (D) 00000—he identifies option (B) as the correct answer and places a green checkmark next to it to signify the correct choice.

The lesson demonstrates tracing recursive functions by following the order of operations: checking the base case, executing the print statement, and then making the recursive call. The key takeaway is that the function prints remainders of division by 2 as encountered in recursion, corresponding to binary representation but in reverse order (Least Significant Bit first). By visualizing the call stack as a tree, students understand the flow of control and the state of variable `n` at each step. This method is essential for debugging complex recursive algorithms in computer science, ensuring output matches expected binary conversion logic.

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