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

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Question 1

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

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

Question 2

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?

Linked List
Queue
Stack
Heap

Question 3

Which of the following is a key property of a Red-Black Tree that ensures its balance?

The root node is always black.
Every path from the root to a leaf node has the same number of black nodes.
A red node cannot have a red child.
All of the above.

Question 4

Consider this Python code aiming to check if a Binary Tree is a Binary Search Tree (BST). Does it function correctly?

class Node:
    def __init__(self, data):
        self.data = data
        self.left = None
        self.right = None

def is_bst(root):
    if root is None:
        return True
    if root.left and root.left.data > root.data:
        return False
    if root.right and root.right.data < root.data:
        return False
    return is_bst(root.left) and is_bst(root.right)

No, the code fails for trees with duplicate values.
Yes, the code correctly identifies any Binary Tree as a BST or not.

Question 5

Which of the following statements is FALSE about a Balanced Binary Tree?

All Balanced Binary Trees strictly enforce a height difference of at most 1 between the left and right subtrees.
It aims to keep the height of the tree as minimal as possible.
AVL and Red-Black trees are examples of self-balancing binary search trees.
It ensures that search, insertion, and deletion operations have a time complexity of O(log n).

Question 6

In an AVL Tree, what is the maximum allowed height difference between the left and right subtrees of any node?

Question 7

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

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

Question 8

Consider a Binary Search Tree (BST). What is the time complexity of finding the LCA of two nodes in the BEST-CASE scenario?

O(log n)
O(n log n)
O(n)
O(1)

Question 9

What is the time complexity of decoding a message encoded using Huffman coding, assuming you have the constructed Huffman tree?

O(n)
O(n log n)
O(log n)
O(1)

Question 10

You need to serialize a binary tree into a string representation. Which method is generally considered MORE space-efficient for trees with many nodes having only one child?

Level Order Traversal with null markers
Postorder Traversal with null markers
Preorder Traversal with null markers ('N' for null nodes)
Inorder Traversal with null markers

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Question 1

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

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

Question 2

Linked List
Queue
Stack
Heap

Question 3

Which of the following is a key property of a Red-Black Tree that ensures its balance?

The root node is always black.
Every path from the root to a leaf node has the same number of black nodes.
A red node cannot have a red child.
All of the above.

Question 4

Consider this Python code aiming to check if a Binary Tree is a Binary Search Tree (BST). Does it function correctly?

class Node:
    def __init__(self, data):
        self.data = data
        self.left = None
        self.right = None

def is_bst(root):
    if root is None:
        return True
    if root.left and root.left.data > root.data:
        return False
    if root.right and root.right.data < root.data:
        return False
    return is_bst(root.left) and is_bst(root.right)

No, the code fails for trees with duplicate values.
Yes, the code correctly identifies any Binary Tree as a BST or not.

Question 5

Which of the following statements is FALSE about a Balanced Binary Tree?

All Balanced Binary Trees strictly enforce a height difference of at most 1 between the left and right subtrees.
It aims to keep the height of the tree as minimal as possible.
AVL and Red-Black trees are examples of self-balancing binary search trees.
It ensures that search, insertion, and deletion operations have a time complexity of O(log n).

Question 6

In an AVL Tree, what is the maximum allowed height difference between the left and right subtrees of any node?

Question 7

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

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

Question 8

Consider a Binary Search Tree (BST). What is the time complexity of finding the LCA of two nodes in the BEST-CASE scenario?

O(log n)
O(n log n)
O(n)
O(1)

Question 9

What is the time complexity of decoding a message encoded using Huffman coding, assuming you have the constructed Huffman tree?

O(n)
O(n log n)
O(log n)
O(1)

Question 10

You need to serialize a binary tree into a string representation. Which method is generally considered MORE space-efficient for trees with many nodes having only one child?

Level Order Traversal with null markers
Postorder Traversal with null markers
Preorder Traversal with null markers ('N' for null nodes)
Inorder Traversal with null markers

Binary Tree Data Structure Questions

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