Weight Balanced and Red Black Tree Quiz Online Practice Test

1. What defines a weight-balanced tree?

A binary tree where each node keeps track of the size of its subtrees

A binary tree that includes an extra weight attribute at each node

A binary tree balanced by height

A standard binary tree with no special properties

2. In which scenarios are weight-balanced trees commonly used?

Managing dynamic sets, dictionaries, sequences, and maps

Implementing heap structures

Performing sorting operations

Storing and managing strings

3. What components are found in a node of a weight-balanced tree?

Key, left and right pointers, and size

Key and value

Key and size

Key only

4. Is it accurate that in a weight-balanced tree, the size value of nodes is defined as follows:

Leaf node: zero

Internal node: the size of its two children combined

Yes, that is correct.

No, that is incorrect.

Yes, but only for leaf nodes.

No, the size of internal nodes is different.

5. To qualify as a weight-balanced tree, what must be true for a node n, where a is a balancing factor and weight[n] represents the node's weight?

weight[n.left]≥a×weight[n] and weight[n.right]≥a×weight[n]

weight[n.left]≥a×weight[n.right] and weight[n.right]≥a×weight[n]

weight[n.left]≥a×weight[n.left] and weight[n.right]≥a×weight[n]

weight[n] must be non-zero

6. Which operations are supported by a weight-balanced tree?

All fundamental operations plus set intersection, union, and subset testing

All fundamental operations only

Set intersection, union, and subset testing only

Only insertion and deletion

7. For a weight-balanced tree where the size of the left subtree is at least half and at most twice the size of the right subtree, what is the maximum possible height of such a tree with k nodes?

log2 n

log4/3 n

log3 n

log3/2 n

8. What unique characteristic defines red-black trees, and what color must the root always be?

Nodes are either red or black, and the root must always be black

The height of the tree

A pointer to the next node

Nodes are either green or black

9. What is the purpose of enforcing the following rules in red-black trees:

The root must be black
Every leaf is black
Children of red nodes must be black
All leaves must have the same black depth

To achieve logarithmic time complexity

To ensure linear time complexity

To attain exponential time complexity

To guarantee constant time complexity

10. Which operations can be executed in O(logn) time complexity using a red-black tree?

Insertion, deletion, and finding both predecessor and successor

Only insertion

Only finding predecessor and successor

Sorting elements

11. In which scenarios are red-black trees particularly useful, and what makes them suitable for these applications?

Efficiently storing strings

Efficiently storing integers

Utilized in process schedulers, maps, and sets

Optimizing sorting operations

12. Under what circumstances is it advantageous to choose red-black trees over AVL trees?

When the operations involve frequent insertions or deletions

When the primary need is for searching efficiency

When maintaining a balanced tree is crucial

When achieving log(nodes) time complexity is required

13. Despite hash tables offering constant time complexity, why might red-black trees be chosen instead?

They are not preferred over hash tables

Due to resizing challenges with hash tables and the superior ordering capabilities of red-black trees

Because they can be implemented as trees

Because red-black trees are inherently balanced

14. What is a memory-efficient method for storing color information in a red-black tree?

Utilizing the least significant bit of a node's pointer for color data

Maintaining a separate array to track colors for each node

Embedding color information directly within the node structure

Applying positive and negative numbering to represent colors

Test Name:	Weight Balanced and Red Black Tree Quiz
Subject Category:	Computer Science
Test Type:	Multiple Choice Questions
Total Score / Questions:	14 / 14
Time Allowed:	10 Min
Who Should Practice this Test:	Students, job seekers, or professionals preparing for competitive exams and interviews.

Weight Balanced and Red Black Tree MCQ Quiz Online Practice Test