Master Tree Data Structures: Enhance Your Algorithms Skills

Question 1

What is the time complexity of searching for an element in a balanced binary search tree?

Accepted Answer

O(log n)

Answer

O(n)

Answer

O(n^2)

Answer

O(1)

Question 2

What is the purpose of performing a left rotation in an AVL tree?

Accepted Answer

To maintain balance by reducing the height of the right subtree

Answer

To maintain balance by reducing the height of the left subtree

Answer

To insert a new node into the tree

Answer

To delete a node from the tree

Question 3

Which of the following is a valid traversal method for a binary tree?

Accepted Answer

Any of the above

Answer

Pre-order

Answer

In-order

Answer

Post-order

Question 4

Which of the following data structures is considered non-linear?

Accepted Answer

Tree

Answer

Array

Answer

Linked List

Answer

Queue

Question 5

What is the main difference between a binary search tree and a binary tree?

Accepted Answer

Binary search trees enforce a specific ordering of elements

Answer

Binary search trees have a maximum of two child nodes per node

Answer

Binary search trees are always balanced

Answer

Binary search trees are more efficient for searching

Question 6

What is the average time complexity of searching for an element in a balanced Binary Search Tree?

Accepted Answer

O(log n)

Answer

O(1)

Answer

O(n)

Answer

O(n^2)

Question 7

Which of the following operations is not supported by an AVL Tree?

Accepted Answer

Sorting

Answer

Insertion

Answer

Deletion

Answer

Balancing

Question 8

Which tree traversal technique visits all nodes in the same order as they appear level-by-level?

Accepted Answer

Breadth-first search

Answer

Depth-first search

Answer

In-order traversal

Answer

Post-order traversal

Question 9

What is the maximum height of a complete binary tree with n nodes?

Accepted Answer

log2(n) + 1

Answer

log2(n)

Answer

2log2(n)

Answer

2log2(n) + 1

Question 10

What is a potential application of a Binary Search Tree?

Accepted Answer

Storing and searching for data in sorted order

Answer

Implementing a priority queue

Answer

Performing range queries efficiently

Answer

Managing hierarchical data

Question 11

What is the key difference between a binary tree and a binary search tree?

Accepted Answer

A binary search tree enforces a specific ordering of values within the tree.

Answer

A binary tree allows duplicate values, while a binary search tree does not.

Answer

A binary tree can have more than two child nodes, while a binary search tree is limited to two.

Answer

There is no significant difference between a binary tree and a binary search tree.

Question 12

Which algorithm can be used to construct a balanced Binary Search Tree from a sorted array?

Accepted Answer

Divide-and-conquer

Answer

Greedy

Answer

Dynamic programming

Answer

Backtracking

Question 13

What is the average time complexity of deleting a node from an AVL Tree?

Accepted Answer

O(log n)

Answer

O(1)

Answer

O(n)

Answer

O(n^2)

Question 14

What is the time complexity of searching for an element in a balanced AVL tree with n nodes?

Accepted Answer

O(log n)

Answer

O(1)

Answer

O(n)

Answer

O(n^2)

Question 15

Which traversal strategy will visit the nodes of a binary tree in the order: root, left subtree, right subtree?

Accepted Answer

Pre-order

Answer

In-order

Answer

Post-order

Answer

Breadth-first

Question 16

What is the purpose of a sentinel node in a binary tree?

Accepted Answer

To simplify the implementation of tree traversal algorithms by marking the end of each branch.

Answer

To improve the height balance of the tree.

Answer

To store metadata about the tree's structure.

Answer

To enhance the search performance of the tree.

Question 17

Which operation is not supported by a binary tree?

Accepted Answer

Sorting

Answer

Insertion

Answer

Deletion

Answer

Searching

Question 18

What is the distinction between a complete binary tree and a perfect binary tree?

Accepted Answer

A complete binary tree has all levels filled except possibly the last level, while a perfect binary tree has all levels completely filled.

Answer

A complete binary tree has no more than two children per node, while a perfect binary tree has exactly two children per node.

Answer

A perfect binary tree is a type of complete binary tree.

Answer

A complete binary tree is more efficient for searching than a perfect binary tree.

Question 19

Which application scenario is best suited for using a binary search tree?

Accepted Answer

Maintaining a sorted collection of elements.

Answer

Finding the minimum or maximum element in a large dataset.

Answer

Traversing a complex hierarchical data structure.

Answer

Representing a network of connected devices.

Question 20

What is the key difference between a red-black tree and an AVL tree?

Accepted Answer

Red-black trees allow for violations of the height balance property, while AVL trees maintain a strict height balance.

Answer

AVL trees use red and black nodes to indicate balance, while red-black trees do not.

Answer

Red-black trees are used for searching, while AVL trees are used for insertion and deletion.

Answer

AVL trees are more efficient for small datasets than red-black trees.

Question 21

True or False: Every binary tree is also a binary search tree.

Accepted Answer

False

Answer

True

Question 22

In a binary tree, which traversal technique is most efficient for finding a specific node with a known value?

Accepted Answer

Depth-first search (DFS)

Answer

Breadth-first search (BFS)

Answer

In-order traversal

Question 23

Which characteristic differentiates an AVL tree from a binary search tree?

Accepted Answer

AVL trees enforce a stricter balance condition.

Answer

Binary search trees permit duplicate values.

Answer

AVL trees offer a faster search algorithm.

Answer

Binary search trees are more widely used in practice.

Question 24

Can a node without a right subtree have a left subtree?

Accepted Answer

Yes

Answer

No

Answer

Only if the node is the root node

Answer

Only if the node has a parent node

Question 25

Determine the time complexity of calculating the height of a balanced tree containing **n** nodes.

Accepted Answer

O(log n)

Answer

O(n)

Answer

O(1)

Question 26

When deleting a node from an AVL tree while maintaining balance, what is the time complexity?

Accepted Answer

O(log n)

Answer

O(n)

Answer

O(1)

Answer

O(n^2)

Question 27

In a binary search tree, the value stored in a node is:

Accepted Answer

Greater than or equal to the values in the left subtree.

Answer

Less than or equal to the values in the right subtree.

Answer

Always unique within the tree.

Answer

Arbitrary and can be any value.

Question 28

Which traversal technique visits nodes in the sequence: root, left subtree, right subtree?

Accepted Answer

Preorder

Answer

Inorder

Answer

Postorder

Answer

Breadth-first

Question 29

The height of a binary tree is defined as:

Accepted Answer

The number of levels from the root node to the deepest leaf node.

Answer

The total number of nodes in the tree.

Answer

The sum of the heights of the left and right subtrees.

Answer

The maximum value stored in the tree.

Question 30

Which of the following is an advantage of using AVL trees over binary search trees?

Accepted Answer

Guaranteed logarithmic search and insertion times.

Answer

Improved memory efficiency.

Answer

Easier implementation.

Answer

Wider range of applications.

Question 31

The balancing factor of a node in an AVL tree represents:

Accepted Answer

The difference in heights between its left and right subtrees.

Answer

The number of child nodes it has.

Answer

The value stored in the node.

Answer

Whether the node is a leaf node.

Question 32

Which of the following is a common use case for binary search trees?

Accepted Answer

Efficiently searching sorted data.

Answer

Implementing priority queues.

Answer

Constructing balanced binary trees.

Answer

Managing data with hierarchical relationships.

Question 33

In an AVL tree with a balancing factor of -2, the node's:

Accepted Answer

Left subtree is taller than the right subtree.

Answer

Right subtree is taller than the left subtree.

Answer

Left and right subtrees have equal heights.

Answer

Balancing factor is invalid.

Question 34

Which traversal technique produces a sorted list of values from a binary search tree?

Accepted Answer

Inorder

Answer

Preorder

Answer

Postorder

Answer

Breadth-first

Question 35

The average time complexity of searching a balanced binary search tree with n nodes is:

Accepted Answer

O(log n)

Answer

O(1)

Answer

O(n)

Answer

O(n^2)

Question 36

Which of the following is a fundamental rule of binary tree structure?

Accepted Answer

Each node can have a maximum of two child nodes

Answer

Each node can have a maximum of one child node

Answer

Each node must have at least one child node

Answer

Each node must have at least two child nodes

Question 37

In a balanced binary search tree, what is the time complexity of searching for a specific element?

Accepted Answer

O(log n)

Answer

O(1)

Answer

O(n)

Answer

O(n^2)

Question 38

What is the significance of the balance factor assigned to each node in an AVL tree?

Accepted Answer

It represents the difference in height between the node's left and right subtrees

Answer

It indicates the number of elements contained within the node's subtree

Answer

It denotes the frequency of the node's key value in the tree

Answer

It holds the key value of the node's parent

Question 39

What is the distinction between a complete binary tree and a full binary tree?

Accepted Answer

A complete binary tree has no empty nodes, while a full binary tree has all levels filled except possibly the last

Answer

A full binary tree has no empty nodes, while a complete binary tree has all levels filled except possibly the last

Answer

A complete binary tree has all levels filled except possibly the last, while a full binary tree has no empty nodes

Answer

There is no distinction between a complete binary tree and a full binary tree

Question 40

Which data structure is most suitable for representing hierarchical relationships between objects?

Accepted Answer

Tree

Answer

Array

Answer

Linked list

Answer

Hash table

Question 41

What is the minimum number of nodes present in an AVL tree with height h?

Accepted Answer

2^h - 1

Answer

0

Answer

1

Answer

2^h

Question 42

What potential drawback is associated with binary search trees?

Accepted Answer

They are susceptible to becoming unbalanced, potentially impacting performance

Answer

They require additional memory for storing balancing information

Answer

They can be challenging to implement efficiently

Answer

They are unsuitable for managing large datasets

Question 43

What is the primary purpose of red-black trees?

Accepted Answer

To maintain a self-balancing binary search tree structure

Answer

To facilitate data compression

Answer

To optimize range query performance

Answer

To represent graph structures

Question 44

In a Binary Search Tree (BST), the smallest element is always located at which node?

Accepted Answer

Leftmost node

Answer

Rightmost node

Answer

Root node

Answer

Any leaf node

Question 45

Which characteristic is NOT a defining property of Binary Trees?

Accepted Answer

Each node can have a maximum of three children

Answer

There exists only one path between any two nodes

Answer

Nodes are connected by edges

Question 46

A distinguishing feature of an AVL Tree is its ability to maintain:

Accepted Answer

Balanced height

Answer

Sorted elements

Answer

Minimum number of nodes

Question 47

Which data structure can be implemented effectively using a Binary Tree?

Accepted Answer

Priority queue

Answer

Graph

Answer

Hash table

Answer

Linked list

Question 48

The height of a complete binary tree with 'n' nodes is approximately:

Accepted Answer

log(n)

Answer

2n

Answer

n-1

Answer

n/2

Question 49

Which technique is commonly used to traverse a binary tree?

Accepted Answer

Depth-First Search (DFS)

Answer

Dijkstra's Algorithm

Answer

Binary Search

Answer

Merge Sort

Question 50

Which statement about the advantages of using trees in data structures is incorrect?

Accepted Answer

Constant-time access to any element

Answer

Hierarchical organization of data

Answer

Dynamic expansion capability

Answer

Efficient searching and sorting