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All questions of Priority Queue for Software Development Exam

What is the time complexity of inserting an element into a priority queue implemented using a binary heap?
  • a)
    O(log n)
  • b)
    O(n)
  • c)
    O(1)
  • d)
    O(n^2)
Correct answer is option 'A'. Can you explain this answer?

Inserting an element into a priority queue implemented using a binary heap takes O(log n) time complexity in the worst case, where n is the number of elements in the heap.
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Which of the following is NOT a valid implementation of a priority queue?
  • a)
    Binary Heap
  • b)
    Fibonacci Heap
  • c)
    AVL Tree
  • d)
    Hash Map
Correct answer is option 'C'. Can you explain this answer?

Simar Sharma answered
AVL trees are self-balancing binary search trees and are not commonly used to implement a priority queue. Binary heaps, Fibonacci heaps, and hash maps are often used for priority queue implementations.

Which of the following data structures can be used to implement a priority queue other than a binary heap?
  • a)
    AVL Tree
  • b)
    Red-Black Tree
  • c)
    B-Tree
  • d)
    All of the above
Correct answer is option 'D'. Can you explain this answer?

Yogesh Dwivedi answered
AVL trees, Red-Black trees, and B-trees can be used to implement a priority queue. However, binary heaps are more commonly used due to their simplicity and efficiency.

What is the time complexity of finding the maximum element in a priority queue implemented using a binary heap?
  • a)
    O(1)
  • b)
    O(log n)
  • c)
    O(n)
  • d)
    O(n log n)
Correct answer is option 'B'. Can you explain this answer?

Finding the maximum element in a priority queue implemented using a binary heap takes O(log n) time complexity because it involves traversing the heap's height.

Which of the following operations can be performed on a priority queue?
  • a)
    Insertion
  • b)
    Deletion
  • c)
    Both Insertion and Deletion
  • d)
    None of the above
Correct answer is option 'C'. Can you explain this answer?

A priority queue supports both insertion and deletion operations efficiently. Elements are inserted based on their priority, and the element with the highest priority can be removed efficiently.

Which of the following data structure is used to implement a priority queue efficiently?
  • a)
    Array
  • b)
    Linked List
  • c)
    Heap
  • d)
    Stack
Correct answer is option 'C'. Can you explain this answer?

Codebreakers answered
A heap is a specialized tree-based data structure that satisfies the heap property. It is commonly used to implement a priority queue efficiently.

What will be the output of the following code?
#include <iostream>
#include <queue>
int main() {
    std::priority_queue<int> pq;
    pq.push(10);
    pq.push(5);
    pq.push(15);
    pq.push(3);
    
    pq.pop();
    std::cout << pq.top();
    return 0;
}
  • a)
    10
  • b)
    5
  • c)
    15
  • d)
    3
Correct answer is option 'C'. Can you explain this answer?

Yogesh Dwivedi answered
The code creates a priority queue and pushes elements 10, 5, 15, and 3 into it. After that, the 'pop()' function removes the element with the highest priority (which is 15), and the 'top()' function retrieves the new highest priority element, which is 10.

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