Data Structures and Algorithms Exam
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Questions and Answers

What is the total time complexity of searching in a hash table using an ideal hash function?

  • O(log n) time
  • O(n log n) time
  • O(n) time
  • O(1) time (correct)

    • In a full binary tree, how many nodes are present at level 3?

  • $2^5$
  • $2^2$
  • $2^4$
  • $2^3$ (correct)

    • Which statement correctly describes recursion?

  • It reduces a problem to smaller instances of itself. (correct)
  • It requires an iterative approach for execution.
  • It works by solving problems in a linear sequence.
  • It divides a problem into independent sub-problems.

    • What is the correct match for Time Complexity with its definition?

    <p>How long does it take to find a solution</p> Signup and view all the answers

    Which data structure is best suited for implementing an iterative version of quick sort?

    <p>Stack</p> Signup and view all the answers

    Which data structure allows insertion and deletion operations only at one end?

    <p>Stack</p> Signup and view all the answers

    Which definition correctly describes a hash function?

    <p>A function that computes the location of keys in an array.</p> Signup and view all the answers

    What is the best case time complexity of bubble sort?

    <p>O(n)</p> Signup and view all the answers

    Which of the following best describes a circular queue?

    <p>A data structure where the last element links to the first.</p> Signup and view all the answers

    In the context of data structures, what does static memory allocation imply?

    <p>Memory is allocated at compile time.</p> Signup and view all the answers

    Which operation is NOT typically associated with stacks?

    <p>Enqueue</p> Signup and view all the answers

    Which data structure allows insertion and deletion of elements at both ends?

    <p>Deque</p> Signup and view all the answers

    Study Notes

    Data Structures and Algorithms Exam - Study Notes

    • Group A - Very Short Answer Type Questions:
      • Recursion solves problems by breaking them down into smaller, similar instances of the same problem.
      • The number of nodes at level L in a full binary tree is 2L.
      • A stack is suitable for implementing quick sort iteratively.
      • Hashing aims for O(1) search time.
      • Time complexity measures how problem-solving time grows with input size. Space complexity measures memory requirements.
      • An array is a linear data structure.
      • Push operation in a stack increments the top pointer and inserts an item.
      • Stacks use LIFO (Last-In, First-Out) principle.
      • Queues use FIFO (First-In, First-Out) principle.
      • A hash function computes a key's array location.
      • A full binary tree with 13 nodes has a minimum height of 4.
      • Bubble Sort's best-case time complexity is O(n).

    Group B - Short Answer Type Questions

    • Linear vs. Non-Linear:
      • Linear data structures (arrays, linked lists, queues) have elements arranged one after another.
      • Non-linear data structures (trees, graphs) have complex relationships between elements.
    • Row/Column Major:
      • Row-major and column-major orderings determine how elements are arranged in multi-dimensional arrays in memory.
    • Singly Linked List Insertion:
      • Pseudocode/c code provided to insert a node at the third position in a singly linked list.
    • Postfix Evaluation:
      • Algorithms to evaluate arithmetic expressions written in postfix (Reverse Polish Notation).
    • Circular Queue:
      • Overflow and underflow conditions for a circular array-based queue are explained.

    Group C - Long Answer Type Questions

    • Stack Implementation and Application:
      • Pseudocode/C code provided for stack operations (push, pop) and their application examples.
      • Postfix expression evaluation algorithm is described.
    • Static vs. Dynamic Memory:
      • Differences and explanations between static and dynamic memory allocation methods in programming.
      • Sparse matrix definition.
      • Polynomial addition Algorithm
    • Doubly Linked Lists: Definition, insertion, and deletion algorithms and explanations.
    • Stack vs. Queue:
      • Explanation of the difference between stack and queue data structures,
    • Quick Sort: Algorithm, example, and time complexity are provided.
    • Insertion Sort: Algorithm for the insertion sort sorting algorithm and an example is given.

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    Related Documents

    MAULANA ABUL KALAM AZAD UNIVERSITY OF TECHNOLOGY, WEST BENGAL BCA 3rd Semester Data Structures and Algorithms Exam 2023-2024 PDF

    Description

    Prepare for your Data Structures and Algorithms Exam with these concise study notes. Covering essential concepts from recursion to sorting algorithms, this quiz helps reinforce your understanding of both linear and non-linear data structures. Test your knowledge and get ready for the exam!

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