Q. What is the average time complexity for insertion in a Red-Black tree?
A.
O(n)
B.
O(log n)
C.
O(n log n)
D.
O(1)
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Solution
The average time complexity for insertion in a Red-Black tree is O(log n) due to its balanced structure.
Correct Answer:
B
— O(log n)
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Q. What is the primary purpose of an AVL tree?
A.
To store data in a sorted manner
B.
To maintain balance for efficient searching
C.
To allow duplicate values
D.
To implement a stack
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Solution
An AVL tree is a self-balancing binary search tree where the difference in heights between the left and right subtrees cannot be more than one, ensuring efficient searching.
Correct Answer:
B
— To maintain balance for efficient searching
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Q. What is the time complexity for deleting a node in a Red-Black tree?
A.
O(n)
B.
O(log n)
C.
O(n log n)
D.
O(1)
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Solution
The time complexity for deleting a node in a Red-Black tree is O(log n) due to its balanced structure.
Correct Answer:
B
— O(log n)
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Q. Which of the following is a real-world application of AVL trees?
A.
Implementing a web crawler
B.
Managing a database index
C.
Sorting a list of numbers
D.
Storing user sessions
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Solution
AVL trees are often used in database indexing to maintain sorted data and allow for efficient search, insert, and delete operations.
Correct Answer:
B
— Managing a database index
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Q. Which of the following operations is not performed during the insertion of a node in a Red-Black tree?
A.
Coloring the node
B.
Rotating the tree
C.
Rebalancing the tree
D.
Sorting the tree
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Solution
Sorting the tree is not an operation performed during the insertion of a node in a Red-Black tree; the tree remains a binary search tree.
Correct Answer:
D
— Sorting the tree
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Q. Which of the following scenarios would benefit from using an AVL tree over a Red-Black tree?
A.
Frequent insertions and deletions
B.
Frequent lookups
C.
Static data with no modifications
D.
Data with many duplicate values
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Solution
AVL trees provide faster lookups than Red-Black trees due to their stricter balancing, making them beneficial in scenarios with frequent lookups.
Correct Answer:
B
— Frequent lookups
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