Prepare for Binary Tree Data Structure Interview with iQwizz | Difficulty Level: Advance | Rating: 4.8

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Question 1

You have serialized a binary tree using preorder traversal with null markers. During deserialization, which data structure is MOST suitable for efficiently reconstructing the tree from the serialized string?

Heap
Queue
Linked List
Stack

Question 2

Which of these operations is NOT efficiently supported by a standard Fenwick tree?

Updating a range of elements with a given value
Finding the minimum value in a given range
Updating a single element in the array
Calculating the sum of elements in a given range

Question 3

What is the primary advantage of using a Complete Binary Tree for implementing a Heap data structure?

It simplifies the process of tree rotations.
It guarantees a balanced tree, ensuring O(log n) operations.
It minimizes the space used for storing the tree.
It allows for efficient searching of elements in O(1) time.

Question 4

You are tasked with determining if two binary trees are mirrors of each other. Which traversal method pair can be used to efficiently compare the trees?

Inorder of both trees
Level Order of both trees
Preorder of one tree with Inorder of the other
Preorder of one tree with Postorder of the other

Question 5

You are given a binary tree where nodes have an additional pointer 'next'. This 'next' pointer is initially null. Design an algorithm to populate each next pointer to point to its right sibling. If there is no right sibling, the next pointer should remain null. Can this be done efficiently without using recursion?

Yes, this can be done iteratively using Level Order Traversal (BFS).
It can only be done iteratively if the tree is a complete binary tree.
It's impossible to achieve this without modifying the tree structure.
No, recursion is always required to connect nodes at different levels.

Question 6

Why are rotations in AVL trees considered to be more complex than in Red-Black trees?

AVL trees require more rotations to maintain balance.
AVL trees have stricter balance requirements, leading to more cases to handle during rotations.
Red-Black trees don't require rotations.
AVL trees have more types of rotations (left, right, left-right, right-left).

Question 7

You need to transmit a large file containing English text. Using a Huffman tree, which of these characters is likely to have the shortest codeword?

Question 8

What is the maximum number of nodes in a binary tree of height 'h'?

2^(h+1) - 1
2^h
2h - 1
h + 1

Question 9

Which of the following real-world scenarios would be well-suited for using a Segment Tree data structure?

All of the above.
Storing and querying historical stock prices for a particular company.
Implementing an undo/redo functionality in a text editor.
Finding the shortest path between two nodes in a weighted graph.

Question 10

In a Perfect Binary Tree with height 'h', what is the maximum number of nodes it can have?

h^2
2^(h+1) - 1
2h + 1
2^h - 1

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Question 1

Heap
Queue
Linked List
Stack

Question 2

Which of these operations is NOT efficiently supported by a standard Fenwick tree?

Updating a range of elements with a given value
Finding the minimum value in a given range
Updating a single element in the array
Calculating the sum of elements in a given range

Question 3

What is the primary advantage of using a Complete Binary Tree for implementing a Heap data structure?

It simplifies the process of tree rotations.
It guarantees a balanced tree, ensuring O(log n) operations.
It minimizes the space used for storing the tree.
It allows for efficient searching of elements in O(1) time.

Question 4

You are tasked with determining if two binary trees are mirrors of each other. Which traversal method pair can be used to efficiently compare the trees?

Inorder of both trees
Level Order of both trees
Preorder of one tree with Inorder of the other
Preorder of one tree with Postorder of the other

Question 5

Yes, this can be done iteratively using Level Order Traversal (BFS).
It can only be done iteratively if the tree is a complete binary tree.
It's impossible to achieve this without modifying the tree structure.
No, recursion is always required to connect nodes at different levels.

Question 6

Why are rotations in AVL trees considered to be more complex than in Red-Black trees?

AVL trees require more rotations to maintain balance.
AVL trees have stricter balance requirements, leading to more cases to handle during rotations.
Red-Black trees don't require rotations.
AVL trees have more types of rotations (left, right, left-right, right-left).

Question 7

You need to transmit a large file containing English text. Using a Huffman tree, which of these characters is likely to have the shortest codeword?

Question 8

What is the maximum number of nodes in a binary tree of height 'h'?

2^(h+1) - 1
2^h
2h - 1
h + 1

Question 9

Which of the following real-world scenarios would be well-suited for using a Segment Tree data structure?

All of the above.
Storing and querying historical stock prices for a particular company.
Implementing an undo/redo functionality in a text editor.
Finding the shortest path between two nodes in a weighted graph.

Question 10

In a Perfect Binary Tree with height 'h', what is the maximum number of nodes it can have?

h^2
2^(h+1) - 1
2h + 1
2^h - 1

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