Heap - Quiz | Analytics

Q: What is a heap in data structure?

A. A tree-based data structure
B. A list-based data structure
C. A graph-based data structure
D. None of the above

Correct Option: A
Explanation:

Answer: a) A tree-based data structure

Explanation: A heap is a tree-based data structure that satisfies the heap property, which is either the min-heap property or the max-heap property.

Q: Which of the following is a disadvantage of using a heap?

A. Efficient for insert and delete operations
B. Efficient for finding the minimum or maximum element
C. Additional space required for storage
D. Limited number of operations

Correct Option: C
Explanation:

Answer: c) Additional space required for storage

Explanation: A heap requires additional space for storing the tree structure, which can be a disadvantage in situations where memory usage is a concern.

Q: What is the time complexity of deleting the minimum element from a binary heap of n elements?

A. O(n)
B. O(log n)
C. O(n log n)
D. O(1)

Correct Option: B
Explanation:

Answer: b) O(log n)

Explanation: The time complexity of deleting the minimum element from a binary heap of n elements is O(log n).

Q: Which of the following is not a property of a binary heap?

A. Complete binary tree
B. Heap property
C. Parent nodes are greater than child nodes
D. All leaf nodes are at the same level

Correct Option: C
Explanation:

Answer: c) Parent nodes are greater than child nodes

Explanation: A binary heap can either satisfy the min-heap property or the max-heap property. For a min-heap, the parent nodes are smaller than or equal to the child nodes, while for a max-heap, the parent nodes are greater than or equal to the child nodes.

Q: Which operation is used to convert an array into a binary heap?

A. Max-heapify
B. Min-heapify
C. Heapify
D. Build-heap

Correct Option: D
Explanation:

Answer: d) Build-heap

Explanation: The build-heap operation is used to convert an array into a binary heap.

Q: Which type of heap has faster amortized time complexity for insert and delete operations?

A. Binary heap
B. Fibonacci heap
C. Binomial heap
D. Pairing heap

Correct Option: B
Explanation:

Answer: b) Fibonacci heap

Explanation: Fibonacci heap has faster amortized time complexity for insert and delete operations compared to other types of heaps.

Q: What is the time complexity of finding the minimum element in a binary heap of n elements?

A. O(n)
B. O(log n)
C. O(n log n)
D. O(1)

Correct Option: D
Explanation:

Answer: d) O(1)

Explanation: The time complexity of finding the minimum element in a binary heap of n elements is O(1).

Q: What is the time complexity of inserting an element into a binary heap of n elements?

A. O(n)
B. O(log n)
C. O(n log n)
D. O(1)

Correct Option: B
Explanation:

Answer: b) O(log n)

Explanation: The time complexity of inserting an element into a binary heap of n elements is O(log n).

Q: Which of the following is not a type of heap?

A. Binary heap
B. Fibonacci heap
C. Quad heap
D. Binomial heap

Correct Option: C
Explanation:

Answer: c) Quad heap

Explanation: Quad heap is not a type of heap in data structure.

Q: Which of the following is not a use case for a heap?

A. Priority queues
B. Sorting algorithms
C. Dijkstra's algorithm
D. Depth-first search

Correct Option: D
Explanation:

Answer: d) Depth-first search

Explanation: A heap is not commonly used in depth-first search algorithms.