Master Tree Data Structures: Enhance Your Computer Science Skills

Question 1

In the pre-order traversal of a binary tree, which node is visited first?

Accepted Answer

Root

Answer

Left child

Answer

Right child

Answer

Parent

Question 2

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

Accepted Answer

Red-black trees have a more relaxed balance requirement compared to AVL trees.

Answer

AVL trees have a more balanced structure than red-black trees.

Answer

Red-black trees are more efficient for search operations, while AVL trees are better for insert and delete operations.

Answer

AVL trees have a more complex implementation compared to red-black trees.

Question 3

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(1)

Answer

O(n)

Answer

O(n^2)

Question 4

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

Accepted Answer

The height of the tree is always balanced.

Answer

Each node can have a maximum of two child nodes.

Answer

The left child's value is always smaller than the parent node's value.

Answer

The right child's value is always larger than the parent node's value.

Question 5

What is the time complexity of an inorder traversal of a binary search tree?

Accepted Answer

O(n)

Answer

O(log n)

Answer

O(n log n)

Answer

O(n^2)

Question 6

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

Accepted Answer

O(log n)

Answer

O(1)

Answer

O(n)

Answer

O(n^2)

Question 7

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

Accepted Answer

2^(h - 1)

Answer

1

Answer

h

Answer

h+1

Question 8

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

Accepted Answer

log2(n)

Answer

n

Answer

n-1

Answer

n^2

Question 9

Which of the following is a recursive algorithm for tree traversal?

Accepted Answer

Depth-first search

Answer

Breadth-first search

Answer

Binary search

Answer

Quicksort

Question 10

What is the main purpose of a heap data structure?

Accepted Answer

Implement a priority queue

Answer

Efficiently maintain a sorted collection

Answer

Store data in a hierarchical structure

Answer

Perform graph operations

Question 11

What is the time complexity of a successful search for a node in a balanced binary tree?

Accepted Answer

O(log n)

Answer

O(n)

Answer

O(n^2)

Answer

O(1)

Question 12

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

Accepted Answer

Pre-order

Answer

In-order

Answer

Post-order

Answer

Level-order

Question 13

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

Accepted Answer

AVL trees use height balancing, while red-black trees use color balancing.

Answer

Red-black trees allow for more balancing constraint violations than AVL trees.

Answer

AVL trees are always perfectly balanced, unlike red-black trees.

Answer

There is no significant difference between AVL and red-black trees.

Question 14

Under which circumstance would you choose a binary tree over a hash table for data storage?

Accepted Answer

When the data exhibits a hierarchical structure.

Answer

When rapid retrieval based on a key is essential.

Answer

When data sorting is a requirement.

Answer

When space optimization is a priority.

Question 15

Which method can be used to verify if a binary tree is a valid binary search tree (BST)?

Accepted Answer

In-order traversal and checking the order of elements

Answer

Post-order traversal and checking the subtree properties

Answer

Level-order traversal and checking for violations

Answer

Depth-first search and checking for cycles

Question 16

What is the primary advantage of utilizing a threaded binary tree?

Accepted Answer

Faster traversal

Answer

Reduced memory usage

Answer

Simplified implementation

Answer

Improved space efficiency

Question 17

Which of the following is NOT a representation of a binary tree?

Accepted Answer

Hash table

Answer

Array

Answer

Linked list

Answer

Heap

Question 18

What is the maximum possible height of an AVL tree with n nodes?

Accepted Answer

log2(n)

Answer

n

Answer

n^2

Answer

2^n

Question 19

Which of the following data structures can be efficiently implemented using a binary search tree?

Accepted Answer

Dictionary

Answer

Queue

Answer

Stack

Answer

Linked list

Question 20

What is the time complexity of inserting an element into a balanced binary search tree?

Accepted Answer

O(log n)

Answer

O(n)

Answer

O(log^2 n)

Answer

O(n^2)

Question 21

What is the purpose of a node pointer in a tree data structure?

Accepted Answer

To indicate the location of a child node

Answer

To store the value of the node

Answer

To connect the tree to other data structures

Answer

To maintain the balance of the tree

Question 22

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

Accepted Answer

Binary search trees enforce a specific ordering on the data.

Answer

Binary search trees have only two child nodes per parent.

Answer

Binary search trees are always balanced.

Answer

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

Question 23

Which property is not applicable to a binary tree?

Accepted Answer

The left subtree of a node always holds smaller values than the right subtree.

Answer

Each node has a maximum of two child nodes.

Answer

Each node, except the root, has a parent node.

Answer

The tree has exactly one root node.

Question 24

What is the time complexity of an inorder traversal of a binary search tree?

Accepted Answer

O(n)

Answer

O(log n)

Answer

O(n^2)

Answer

O(1)

Question 25

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

Accepted Answer

2^(h+1) - 1

Answer

2^h

Answer

2^(h-1)

Answer

h^2

Question 26

Which of the following is a valid inorder traversal sequence for a binary search tree?

Accepted Answer

10 12 15 20 25 30

Answer

10 25 20 30 12 15

Answer

12 10 15 30 25 20

Answer

10 20 25 12 15 30

Question 27

Which of the following tree types is commonly used to implement a priority queue?

Accepted Answer

Binary Heap

Answer

Binary Search Tree

Answer

AVL Tree

Answer

Red-Black Tree

Question 28

What is the minimum number of nodes in a balanced binary search tree with a height of 3?

Accepted Answer

6

Answer

4

Answer

8

Answer

10

Question 29

In a balanced binary search tree, what is the average time complexity of deleting a node?

Accepted Answer

O(log n)

Answer

O(1)

Answer

O(n)

Question 30

What is the worst-case time complexity of searching for an element in a balanced AVL tree with n elements?

Accepted Answer

O(log n)

Answer

O(1)

Answer

O(n)

Answer

O(n^2)

Question 31

Which of the following is NOT a type of tree data structure?

Accepted Answer

Graph

Answer

Binary tree

Answer

Heap

Answer

Trie

Question 32

Which property is NOT characteristic of a binary search tree (BST)?

Accepted Answer

The complexity of searching, inserting, and deleting elements in a BST is always O(n).

Answer

Nodes are structured in a binary tree configuration.

Answer

Each node has a value greater than or equal to its left child and less than or equal to its right child.

Answer

BSTs are employed to effectively sort and search large datasets.

Question 33

Which step is NOT included in an inorder traversal of a binary tree?

Accepted Answer

Updating the current node's value

Answer

Recursive traversal of the left subtree.

Answer

Visiting the root.

Answer

Recursive traversal of the right subtree.

Question 34

Which characteristic is a defining property of a full binary tree?

Accepted Answer

Every node has exactly two children

Answer

Every leaf node has exactly one parent

Answer

The maximum height is always h = log2(N)

Answer

The minimum height is always h = log2(N)

Question 35

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

Accepted Answer

O(N)

Answer

O(log2(N))

Answer

O(N^2)

Answer

O(2^N)

Question 36

Which property is NOT characteristic of red-black trees?

Accepted Answer

Every leaf node is red

Answer

Every node is either red or black

Answer

The root node is always black

Answer

Every node with a red child has a black child

Question 37

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

Accepted Answer

O(log2(N))

Answer

O(N)

Answer

O(N^2)

Answer

O(2^N)

Question 38

Which tree traversal technique can be employed to print the nodes of a binary tree in ascending order?

Accepted Answer

Inorder

Answer

Preorder

Answer

Postorder

Answer

Level-order

Question 39

What is the time complexity of inserting a node into an AVL tree?

Accepted Answer

O(log2(N))

Answer

O(N)

Answer

O(N^2)

Answer

O(2^N)

Question 40

Which traversal technique visits all nodes in a tree in the following order: root, left subtree, right subtree?

Accepted Answer

Pre-order traversal

Answer

In-order traversal

Answer

Post-order traversal

Answer

Breadth-first search

Question 41

Consider the following binary tree:

A
      / \
     B   C
    / \   \
   D   E    F

Which of the following is the mirror image of the given tree?

Accepted Answer

A
      / \
     C   B
    /   / \
   F   E   D

Answer

Question 42

What is the time complexity of finding a node with a specific key in a balanced binary search tree of height h?

Accepted Answer

O(log h)

Answer

O(h)

Answer

O(n)

Answer

O(h^2)

Question 43

Which of the following is a potential drawback of using trees as data structures?

Accepted Answer

They can become unbalanced, resulting in poor performance.

Answer

They require more memory than other data structures.

Answer

They are difficult to implement efficiently.

Answer

They are not suitable for storing numeric data.