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

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Question 1

A certain algorithm requires a binary tree where all operations (insertion, deletion, search) must be guaranteed to be O(log n) in the worst case. Which type of tree is MOST suitable for this scenario?

Balanced Binary Tree
Full Binary Tree
Complete Binary Tree
Perfect Binary Tree

Question 2

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

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

Question 3

Which of the following is NOT a type of self-balancing BST?

B-Tree
AVL Tree
Red-Black Tree
Binary Heap

Question 4

Examine this Python code attempting to find the diameter of a Binary Tree. Is it implemented correctly?

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

def diameter(root):
    if root is None:
        return 0
    lheight = height(root.left)
    rheight = height(root.right)
    return max(lheight + rheight + 1, max(diameter(root.left), diameter(root.right)))

def height(node):
    if node is None:
        return 0
    return 1 + max(height(node.left), height(node.right))

No, the code has a logical error in calculating the diameter.
Yes, the code accurately determines the diameter of the binary tree.

Question 5

Consider a Segment Tree designed to handle range sum queries. An update operation is performed on a single element of the original array. How many nodes in the Segment Tree, on average, need to be updated to reflect this change?

O(√n)
O(1)
O(n)
O(log n)

Question 6

What is the primary advantage of using a Segment Tree over a naive approach for range queries on an array?

Segment Trees offer faster updates but slower queries.
Segment Trees provide logarithmic time complexity for both range queries and updates.
Segment Trees are easier to implement than the naive approach, especially for large arrays.
Segment Trees reduce the space complexity compared to the original array.

Question 7

In a binary tree, you need to find the rightmost node at the deepest level. If multiple nodes share the maximum depth and are furthest to the right, find any one. Which traversal is most suitable?

Depth-First Traversal (Postorder)
Depth-First Traversal (Preorder)
Depth-First Traversal (Inorder)
Level Order Traversal

Question 8

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

Question 9

When constructing a Segment Tree for a given array, what information is typically stored in each node of the Segment Tree?

A statistical measure (like mean or median) of the corresponding subarray.
It depends on the specific application and the type of queries the Segment Tree is designed to handle.
The sum of all elements in the corresponding subarray of the original array.
The minimum value within the corresponding subarray of the original array.

Question 10

You want to print the nodes of a binary tree in a way that nodes at the same level are printed together, from left to right. Which traversal method achieves this?

Level Order Traversal
Postorder Traversal
Preorder Traversal
Inorder Traversal

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Question 1

Balanced Binary Tree
Full Binary Tree
Complete Binary Tree
Perfect Binary Tree

Question 2

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

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

Question 3

Which of the following is NOT a type of self-balancing BST?

B-Tree
AVL Tree
Red-Black Tree
Binary Heap

Question 4

Examine this Python code attempting to find the diameter of a Binary Tree. Is it implemented correctly?

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

def diameter(root):
    if root is None:
        return 0
    lheight = height(root.left)
    rheight = height(root.right)
    return max(lheight + rheight + 1, max(diameter(root.left), diameter(root.right)))

def height(node):
    if node is None:
        return 0
    return 1 + max(height(node.left), height(node.right))

No, the code has a logical error in calculating the diameter.
Yes, the code accurately determines the diameter of the binary tree.

Question 5

O(√n)
O(1)
O(n)
O(log n)

Question 6

What is the primary advantage of using a Segment Tree over a naive approach for range queries on an array?

Segment Trees offer faster updates but slower queries.
Segment Trees provide logarithmic time complexity for both range queries and updates.
Segment Trees are easier to implement than the naive approach, especially for large arrays.
Segment Trees reduce the space complexity compared to the original array.

Question 7

In a binary tree, you need to find the rightmost node at the deepest level. If multiple nodes share the maximum depth and are furthest to the right, find any one. Which traversal is most suitable?

Depth-First Traversal (Postorder)
Depth-First Traversal (Preorder)
Depth-First Traversal (Inorder)
Level Order Traversal

Question 8

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

Question 9

When constructing a Segment Tree for a given array, what information is typically stored in each node of the Segment Tree?

A statistical measure (like mean or median) of the corresponding subarray.
It depends on the specific application and the type of queries the Segment Tree is designed to handle.
The sum of all elements in the corresponding subarray of the original array.
The minimum value within the corresponding subarray of the original array.

Question 10

You want to print the nodes of a binary tree in a way that nodes at the same level are printed together, from left to right. Which traversal method achieves this?

Level Order Traversal
Postorder Traversal
Preorder Traversal
Inorder Traversal

Binary Tree Data Structure Questions

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