Priority Queues and Heaps - Applications

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Q. How does a priority queue differ from a regular queue?
  • A. It allows duplicate elements
  • B. It processes elements based on priority
  • C. It can only hold integers
  • D. It is implemented using arrays only
Q. In a max-heap, which of the following is true about the root node?
  • A. It is the smallest element
  • B. It is the largest element
  • C. It can be any element
  • D. It is the second largest element
Q. In a max-heap, which property must be maintained?
  • A. The parent node is always less than its children
  • B. The parent node is always equal to its children
  • C. The parent node is always greater than or equal to its children
  • D. The children nodes are always greater than their parent
Q. In a priority queue implemented with a binary heap, what happens when the heap property is violated?
  • A. The heap is automatically sorted
  • B. The heap is restructured
  • C. Elements are removed
  • D. No action is taken
Q. In a priority queue, how is the priority of elements typically determined?
  • A. By their insertion order
  • B. By their value
  • C. By a custom comparator function
  • D. By their index in the array
Q. In Dijkstra's algorithm, what role does a priority queue play?
  • A. To store all vertices
  • B. To keep track of visited nodes
  • C. To select the next vertex with the smallest distance
  • D. To sort the edges
Q. What is a common application of a priority queue?
  • A. Implementing a stack
  • B. Managing tasks in a scheduling system
  • C. Sorting an array
  • D. Searching for an element in a list
Q. What is the primary advantage of using a Fibonacci heap over a binary heap?
  • A. Faster insertion time
  • B. Lower memory usage
  • C. Faster decrease-key operation
  • D. Easier implementation
Q. What is the primary advantage of using a priority queue over a regular queue?
  • A. Faster access to elements
  • B. Elements are processed in the order of their priority
  • C. Lower memory usage
  • D. Easier implementation
Q. What is the time complexity of inserting an element into a binary heap used as a priority queue?
  • A. O(1)
  • B. O(log n)
  • C. O(n)
  • D. O(n log n)
Q. What is the time complexity of removing the highest priority element from a binary heap?
  • A. O(1)
  • B. O(log n)
  • C. O(n)
  • D. O(n log n)
Q. What is the time complexity of removing the highest priority element from a priority queue implemented with a binary heap?
  • A. O(1)
  • B. O(log n)
  • C. O(n)
  • D. O(n log n)
Q. What is the worst-case time complexity for deleting the minimum element from a binary heap?
  • A. O(1)
  • B. O(log n)
  • C. O(n)
  • D. O(n log n)
Q. Which algorithm uses a priority queue to find the minimum spanning tree?
  • A. Kruskal's algorithm
  • B. Prim's algorithm
  • C. Dijkstra's algorithm
  • D. Bellman-Ford algorithm
Q. Which data structure is typically used to implement a priority queue?
  • A. Array
  • B. Linked List
  • C. Heap
  • D. Stack
Q. Which of the following algorithms uses a priority queue to find the shortest path in a graph?
  • A. Depth-First Search
  • B. Dijkstra's Algorithm
  • C. Bubble Sort
  • D. Binary Search
Q. Which of the following algorithms uses a priority queue?
  • A. Merge Sort
  • B. Dijkstra's Algorithm
  • C. Binary Search
  • D. Quick Sort
Q. Which of the following is NOT a typical application of heaps?
  • A. Heap sort
  • B. Implementing a priority queue
  • C. Finding the median of a list
  • D. Graph traversal
Q. Which of the following is NOT a typical use case for priority queues?
  • A. Job scheduling
  • B. Pathfinding algorithms
  • C. Data compression
  • D. Implementing a LIFO structure
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