Q. In which scenario would you prefer a Red-Black Tree over an AVL Tree?
A.
When frequent insertions and deletions are expected
B.
When memory usage is a critical factor
C.
When the dataset is static
D.
When the tree needs to be perfectly balanced
Solution
Red-Black Trees are generally preferred when there are frequent insertions and deletions because they require fewer rotations to maintain balance compared to AVL Trees.
Correct Answer:
A
— When frequent insertions and deletions are expected
Q. What is the time complexity of searching for an element in an AVL tree?
A.
O(n)
B.
O(log n)
C.
O(n log n)
D.
O(1)
Solution
The time complexity for searching in an AVL tree is O(log n) due to its balanced nature, which ensures that the height of the tree is logarithmic with respect to the number of nodes.
Q. Which of the following is a characteristic of Red-Black Trees?
A.
Every node is either red or black
B.
The root must be red
C.
All leaves are black
D.
Red nodes can have red children
Solution
In Red-Black Trees, every node is colored either red or black, and there are specific properties that maintain balance, including that no two red nodes can be adjacent.
Correct Answer:
A
— Every node is either red or black
Q. Which of the following statements is true about AVL and Red-Black Trees?
A.
AVL trees are faster for search operations than Red-Black trees
B.
Red-Black trees are always more balanced than AVL trees
C.
Both trees have the same height for n nodes
D.
AVL trees require more memory than Red-Black trees
Solution
AVL trees are generally faster for search operations due to their stricter balancing, while Red-Black trees may require more memory due to their additional color attribute.
Correct Answer:
A
— AVL trees are faster for search operations than Red-Black trees
Q. Which operation is guaranteed to be O(log n) in a Red-Black tree?
A.
Insertion
B.
Deletion
C.
Searching
D.
All of the above
Solution
All fundamental operations (insertion, deletion, and searching) in a Red-Black tree are guaranteed to be O(log n) due to the tree's balanced structure.
Q. Which tree structure is more suitable for applications requiring frequent insertions and deletions?
A.
AVL Tree
B.
Red-Black Tree
C.
Binary Search Tree
D.
B-Tree
Solution
Red-Black trees are more suitable for applications requiring frequent insertions and deletions due to their less strict balancing compared to AVL trees.
