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Binary Tree

53 Binary Tree interview questions

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Fundamental Tree Concepts


  • 1.

    What is a Tree Data Structure?

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  • 2.

    What is a Binary Tree?

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Specific Tree Types and Data Structures


  • 3.

    What is Binary Heap?

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  • 4.

    What is a Binary Search Tree?

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  • 5.

    What is AVL Tree? How to Balance it?

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  • 6.

    What is a Red-Black Tree?

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  • 7.

    How is an AVL Tree different from a B-Tree?

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  • 8.

    How can a Fenwick Tree (Binary Indexed Tree) be beneficial in algorithm design?

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  • 9.

    What is a Segment Tree, and how does it differ from a traditional binary tree in usage and efficiency?

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  • 10.

    What is a Splay Tree, and how does its splay operation work?

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  • 11.

    Explain the concept and structure of a Ternary Tree.

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  • 12.

    Describe a Lazy Segment Tree and when it is used over a regular Segment Tree.

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  • 13.

    What is a Treap, and how does it combine the properties of a binary search tree and a heap?

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Tree Properties and Operations


  • 14.

    What is a Balanced Tree?

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  • 15.

    What are advantages and disadvantages of BST?

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  • 16.

    How does Inserting or Deleting nodes affect a Red-Black Tree?

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  • 17.

    What is the time complexity for Insert into Red-Black Tree?

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  • 18.

    How does tree balancing improve search operation performance in a tree?

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  • 19.

    Discuss the concept of immuntable binary trees and its implications in functional programming.

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Comparisons Between Tree Varieties


  • 20.

    Explain the difference between Binary Tree and Binary Search Tree.

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  • 21.

    What is the difference between Heap and Red-Black Tree?

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  • 22.

    Compare Trie vs. Binary Search Trie.

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  • 23.

    Compare Red-Black Trees and AVL Trees.

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  • 24.

    When standard BSTs might be preferred over AVL Trees?

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  • 25.

    Compare the performance of a Splay Tree versus a Red-Black Tree under various operations.

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  • 26.

    How does a B+ Tree differ from a B-Tree and in what situations might it be preferred?

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Tree Implementations and Traversals


  • 27.

    Name some ways to implement Priority Queue.

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  • 28.

    Classify Tree Traversal Algorithms.

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  • 29.

    Implement Pre-order Traversal of Binary Tree using Recursion.

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  • 30.

    Implement Iterative Pre-order Traversal of a Binary Tree without Recursion.

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  • 31.

    Convert a Binary Tree into a Doubly Linked List.

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  • 32.

    Build a Binary Expression Tree for the given expression.

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  • 33.

    What is Morris Traversal for a Tree? How to implement one?

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  • 34.

    Explain how to perform level-order traversal in a binary tree and its applications.

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  • 35.

    Describe the use of BFS and DFS in binary trees and how they relate to tree traversals.

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Advanced Tree Concepts and Applications


  • 36.

    Implement a Map data structure using Binary Search Tree.

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  • 37.

    Explain the process of Tree Rotation and its use cases.

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  • 38.

    Discuss the concept of Threaded Binary Trees.

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  • 39.

    In what scenarios would a Recursive Tree Traversal be impractical?

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  • 40.

    Discuss the Space Complexity for storing a binary tree.

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  • 41.

    How to determine if a given binary tree is a full binary tree?

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  • 42.

    What are the characteristics of a perfect binary tree and how do you identify one?

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  • 43.

    How can you serialize and deserialize a binary tree?

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  • 44.

    How to check if a binary tree is height-balanced?

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  • 45.

    Describe the application of Binary Trees in networking (e.g., routing, addressing).

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  • 46.

    Explain the concept of Path Sum in a binary tree and how it is calculated.

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  • 47.

    Find the lowest common ancestor (LCA) of two nodes in a binary tree.

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  • 48.

    Can a binary tree be reconstructed from its inorder and preorder (or postorder) traversals?

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  • 49.

    Implement a function to check if a binary tree is symmetric (a mirror image of itself).

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  • 50.

    Describe how binary trees can be used in decision-making processes (e.g., decision trees in AI).

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  • 51.

    Discuss the role of binary trees in garbage collection algorithms like the mark-and-sweep algorithm.

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  • 52.

    Explain how trie data structures are used in implementing autocomplete features.

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  • 53.

    What is Huffman Coding, and how is a binary tree used in this compression technique?

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