Trees: Implementation and Traversal Algorithms - Interactive Learning Quizzes

Question 1

Which of the following is not a traversal algorithm specifically designed for binary trees?

Accepted Answer

Breadth-first

Answer

Inorder

Answer

Preorder

Question 2

Which of the following is not a data structure implemented using a tree?

Accepted Answer

Hash Table

Answer

Binary Tree

Answer

Binary Search Tree

Answer

AVL Tree

Question 3

What is the 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 4

Which tree traversal algorithm visits nodes in the order of root, left subtree, right subtree?

Accepted Answer

Preorder

Answer

Inorder

Answer

Postorder

Answer

Breadth-first

Question 5

Which of the following tree structures maintains elements in sorted order?

Accepted Answer

Binary Search Tree

Answer

Binary Tree

Answer

Binary Heap

Answer

B-Tree

Question 6

What is the purpose of the balancing factor in an AVL tree?

Accepted Answer

To maintain balance in the tree

Answer

To determine the height of the tree

Answer

To store the number of nodes in the tree

Answer

To calculate the average value of the elements

Question 7

What is a leaf node in a tree?

Accepted Answer

A node with no children

Answer

A node with only one child

Answer

A node with only two children

Answer

A node with a parent

Question 8

Which of the following is NOT a traversal technique specifically designed for binary trees?

Accepted Answer

Level-order

Answer

Inorder

Answer

Preorder

Answer

Postorder

Question 9

Which traversal technique is not used for trees?

Accepted Answer

Breadth-first search

Answer

Inorder

Answer

Level-order

Answer

Postorder

Question 10

In a binary tree, what is the maximum number of children a node can have?

Accepted Answer

2

Answer

1

Answer

3

Answer

4

Question 11

During an inorder traversal, in which order are the nodes visited?

Accepted Answer

Left node, root, right node

Answer

Root, left node, right node

Answer

Left node, right node, root

Answer

Right node, root, left node

Question 12

What is the time complexity of searching for a value in a balanced binary search tree with n nodes?

Accepted Answer

O(log n)

Answer

O(n)

Answer

O(n^2)

Answer

O(1)

Question 13

Which data structure is used to implement a binary heap?

Accepted Answer

Array

Answer

Linked list

Answer

Queue

Answer

Stack

Question 14

Which traversal technique prints the nodes of a tree from top to bottom?

Accepted Answer

Level-order

Answer

Inorder

Answer

Preorder

Answer

Postorder

Question 15

What is the primary purpose of a binary search tree?

Accepted Answer

To efficiently store and retrieve data

Answer

To sort and organize data

Answer

To represent hierarchical relationships

Answer

To implement a queue

Question 16

What is the average time complexity for inserting a new element into a balanced binary search tree with 'n' nodes?

Accepted Answer

O(log n)

Answer

O(1)

Answer

O(n)

Question 17

What is the defining characteristic that differentiates a binary search tree from a binary tree?

Accepted Answer

Enforcement of an order property on its nodes

Answer

Presence of left and right child nodes

Answer

Storage of a value at each node

Answer

Existence of a maximum depth

Question 18

In a binary search tree, what is the relationship between a node's value and its parent's value?

Accepted Answer

The node's value is always less than or equal to its parent's value.

Answer

The node's value is always greater than or equal to its parent's value.

Question 19

What is the time complexity of searching for a node in a balanced binary search tree with N nodes?

Accepted Answer

O(log N)

Answer

O(N)

Question 20

Which tree traversal algorithm visits the root node first?

Accepted Answer

Preorder traversal

Answer

Inorder traversal

Answer

Postorder traversal

Question 21

What is the purpose of a null link in a binary tree?

Accepted Answer

To mark the end of a branch

Answer

To connect two subtrees

Question 22

Which traversal algorithm is used to print the nodes of a binary tree in ascending order?

Accepted Answer

Inorder traversal

Answer

Preorder traversal

Answer

Postorder traversal

Question 23

What is the time complexity of inserting a node into a balanced binary search tree with N nodes?

Accepted Answer

O(log N)

Answer

O(N)

Question 24

For a binary search tree, what is the time complexity of an inorder traversal?

Accepted Answer

O(n)

Answer

O(1)

Answer

O(n log n)

Answer

O(n^2)

Question 25

Which of the following is NOT a characteristic of a binary search tree?

Accepted Answer

The tree is inherently balanced.

Answer

Nodes in the left subtree always have values less than their parent.

Answer

Nodes in the right subtree always have values greater than or equal to their parent.

Answer

Duplicate values are not allowed.

Question 26

Consider inserting the values 10, 5, 15, 2, 7, 12, 20 into an initially empty binary search tree. What type of tree will result from this insertion sequence?

Accepted Answer

An unbalanced binary search tree

Answer

A perfectly balanced binary search tree

Answer

A degenerate tree

Answer

A full binary tree

Question 27

In the context of binary tree implementation, what is the purpose of a null pointer?

Accepted Answer

To mark the end of a branch in the tree

Answer

To store metadata associated with a node

Answer

To balance the tree

Answer

To prevent memory leaks

Question 28

In a binary tree, which traversal method visits the root node, then the left subtree, and finally the right subtree?

Accepted Answer

Preorder traversal

Answer

Inorder traversal

Answer

Postorder traversal

Answer

Breadth-first search

Question 29

Which of the following properties ensures that a binary tree is a binary search tree?

Accepted Answer

Each node's value is greater than all values in its left subtree and less than all values in its right subtree.

Answer

Each node's value is less than all values in its left subtree and greater than all values in its right subtree.

Answer

The left subtree of each node is a complete binary tree.

Answer

The right subtree of each node is a full binary tree.

Question 30

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

Accepted Answer

O(log n)

Answer

O(1)

Answer

O(n)

Answer

O(n^2)

Question 31

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

Accepted Answer

A full binary tree has all its levels completely filled, while a complete binary tree may have some empty nodes in the last level.

Answer

A complete binary tree has all its levels filled, while a full binary tree may have some empty nodes in the middle levels.

Answer

Complete binary trees are always balanced, while full binary trees are not.

Answer

Full binary trees are always complete, while complete binary trees are not.

Question 32

Which of the following traversal methods can be used to print a binary search tree in ascending order?

Accepted Answer

Inorder traversal

Answer

Preorder traversal

Answer

Postorder traversal

Answer

Level-order traversal

Question 33

What is the purpose of a dummy node in a binary search tree?

Accepted Answer

To simplify the implementation of certain tree operations

Answer

To ensure that the tree is always balanced

Answer

To reduce the time complexity of tree traversal

Answer

To store additional data associated with the tree

Question 34

Which of the following is not a potential application of trees?

Accepted Answer

Hash tables

Answer

File systems

Answer

Databases

Answer

Artificial intelligence

Question 35

What is the space complexity of a binary tree with 'n' nodes?

Accepted Answer

O(n)

Answer

O(1)

Answer

O(n^2)

Answer

O(log n)

Question 36

Which data structure is suitable for representing hierarchical relationships, akin to a family tree or an organizational chart?

Accepted Answer

Tree

Answer

Linked list

Answer

Queue

Answer

Array

Question 37

In a binary tree, what is the maximum number of child nodes a node can have?

Accepted Answer

2

Answer

4

Answer

3

Answer

1

Question 38

Which tree traversal algorithm visits the root node first, followed by the left subtree, and then the right subtree?

Accepted Answer

Preorder

Answer

Postorder

Answer

Level-order

Answer

Inorder

Question 39

In a binary search tree, the values in the left subtree are always what in relation to the root value?

Accepted Answer

Less than or equal to

Answer

Equal to

Answer

Greater than

Answer

Randomly distributed

Question 40

Which operation has a time complexity of O(log n) in a balanced binary search tree?

Accepted Answer

Searching for a specific value

Answer

Deleting a value

Answer

Traversing the entire tree

Answer

Inserting a new value

Question 41

What is the role of a Null node in a binary tree?

Accepted Answer

Indicates the absence of a subtree

Answer

Marks visited nodes

Answer

Stores additional data

Answer

Balances the tree

Question 42

In a level-order traversal, the nodes are visited in which order?

Accepted Answer

Left to right, level by level

Answer

Random order

Answer

From leaf to root

Answer

Depth-first, from root to leaf

Question 43

Which of the following is NOT a property of a binary search tree?

Accepted Answer

Duplicate values are permitted

Answer

Values are stored in sorted order

Answer

Left subtree contains values less than the root

Answer

Right subtree contains values greater than or equal to the root

Question 44

Which technique can be used to balance a binary search tree?

Accepted Answer

AVL trees

Answer

Linked lists

Answer

Hashing

Answer

QuickSort

Question 45

Which of the following traversal orders visits all the nodes in the left subtree, then the root, and finally the nodes in the right subtree?

Accepted Answer

Inorder

Answer

Preorder

Answer

Postorder

Answer

Level-order

Question 46

What is the time complexity of preorder traversal of a binary tree with N nodes?

Accepted Answer

O(N)

Answer

O(log N)

Answer

O(N^2)

Answer

O(1)

Question 47

Which data structure is suitable for implementing a binary search tree?

Accepted Answer

Node

Answer

Array

Answer

Stack

Answer

LinkedList

Question 48

What is the property of a binary search tree that ensures efficient search operations?

Accepted Answer

Left subtree contains values less than the root, right subtree contains values greater than the root

Answer

All nodes have two children

Answer

Height of the tree is balanced

Question 49

Which of the following is NOT a valid binary tree?

Accepted Answer

A tree with cycles

Answer

A tree with all leaf nodes at the same level

Answer

A tree with every node having at most two children

Answer

A tree with one root node

Question 50

What is the purpose of a null pointer in a binary tree implementation?

Accepted Answer

To indicate the end of a branch

Answer

To point to the parent node

Answer

To store additional data associated with a node

Answer

To store the size of the tree

Question 51

Which traversal algorithm is used to print the nodes of a binary tree in ascending order?

Accepted Answer

Inorder

Answer

Postorder

Answer

Preorder

Question 52

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

Accepted Answer

Binary search trees have the property that the left subtree contains values less than the root and the right subtree contains values greater than the root.

Answer

Binary trees can have any number of children per node, while binary search trees can only have two.

Question 53

Which of the following is an application of binary trees?

Accepted Answer

Decision trees

Answer

Linked lists

Answer

Hash tables

Answer

Queues

Question 54

What is the height of a binary tree with N nodes?

Accepted Answer

log(N) + 1

Answer

N^2

Answer

N

Answer

2^N