Advanced Trees (AVL, RedBlack, BTrees) MCQ question and answer with solution

1.
What is the primary property of an AVL tree?

A. It allows duplicate keys.

B. It is a self-balancing binary search tree.

C. It maintains a fixed height.

D. It allows duplicate keys.

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2.
Which of the following operations is used to restore balance in an AVL tree after insertion?

A. Merging

B. Splaying

C. Rotations

D. Hashing

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3.
In a Red-Black tree, which property ensures that no two consecutive red nodes exist on any path?

A. Black property

B. Balance property

C. Height property

D. Red property

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4.
What is the maximum height of an AVL tree with n nodes?

A. log₂(n + 1)

B. log₂(n)

C. 2*log₂(n)

D. log₁₀(n)

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5.
Which tree property is used to ensure that in a B-Tree all leaves are at the same level?

A. B-Tree order

B. Equal key distribution

C. Balanced height

D. Uniform height

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6.
In a Red-Black tree, what is the color of the root node?

A. Red

B. Can be either

C. Black

D. It varies based on height

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7.
What is the order of a B-Tree if it has a maximum of m children per node?

A. 2m

B. m

C. log₂(m)

D. 2m

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8.
What is the time complexity of insertion in an AVL tree?

A. O(1)

B. O(log² n)

C. O(log n)

D. O(n)

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9.
In a Red-Black tree, which property helps in maintaining a balanced tree?

A. The AVL property

B. The B-Tree property

C. The splay property

D. The red-black property

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10.
What is the primary difference between a Red-Black tree and an AVL tree?

A. AVL trees are more rigidly balanced.

B. Red-Black trees have stricter balancing.

C. AVL trees use color-coding.

D. Red-Black trees do not require rotations.

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Advanced Trees (AVL, RedBlack, BTrees) MCQ question and answer with solution | Data Structure MCQs

1. What is the primary property of an AVL tree?

Answer & Solution

2. Which of the following operations is used to restore balance in an AVL tree after insertion?

Answer & Solution

3. In a Red-Black tree, which property ensures that no two consecutive red nodes exist on any path?

Answer & Solution

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

Answer & Solution

5. Which tree property is used to ensure that in a B-Tree all leaves are at the same level?

Answer & Solution

6. In a Red-Black tree, what is the color of the root node?

Answer & Solution

7. What is the order of a B-Tree if it has a maximum of m children per node?

Answer & Solution

8. What is the time complexity of insertion in an AVL tree?

Answer & Solution

9. In a Red-Black tree, which property helps in maintaining a balanced tree?

Answer & Solution

10. What is the primary difference between a Red-Black tree and an AVL tree?

Answer & Solution

Read More Section(Advanced Trees (AVL, RedBlack, BTrees))

1.
What is the primary property of an AVL tree?

2.
Which of the following operations is used to restore balance in an AVL tree after insertion?

3.
In a Red-Black tree, which property ensures that no two consecutive red nodes exist on any path?

4.
What is the maximum height of an AVL tree with n nodes?

5.
Which tree property is used to ensure that in a B-Tree all leaves are at the same level?

6.
In a Red-Black tree, what is the color of the root node?

7.
What is the order of a B-Tree if it has a maximum of m children per node?

8.
What is the time complexity of insertion in an AVL tree?

9.
In a Red-Black tree, which property helps in maintaining a balanced tree?

10.
What is the primary difference between a Red-Black tree and an AVL tree?