Questions
58 of 59
1What is a Graph? Define Vertex, Edge, Degree.
2What is the difference between Directed and Undirected Graphs?
3What is a Weighted Graph?
4What is a Cyclic vs Acyclic Graph?
5What is the difference between a Tree and a Graph?
6Explain Adjacency Matrix. What are its pros and cons?
7Explain Adjacency List. What are its pros and cons?
8Which representation is better for Sparse vs Dense graphs?
9Explain Breadth-First Search (BFS). What data structure does it use?
10Explain Depth-First Search (DFS). What data structure does it use?
11What is the time complexity of BFS and DFS?
12What is Topological Sorting? Which algorithm is used?
13How do you detect a cycle in a Directed Graph?
14How do you detect a cycle in an Undirected Graph?
15Explain Dijkstra's Algorithm. When does it fail?
16Explain Bellman-Ford Algorithm. Why is it slower than Dijkstra?
17What is the difference between Dijkstra and A* (A-star)?
18What is a Minimum Spanning Tree (MST)?
19Explain Kruskal's Algorithm. Which data structure is crucial for it?
20Explain Prim's Algorithm.
21What is the difference between Kruskal's and Prim's? When is one preferred?
22What is Union-Find (Disjoint Set Union)? Explain Path Compression and Union by Rank.
23What is a Bipartite Graph? How do you check for it?
24How do you find the shortest path in an unweighted graph?
25Explain Strongly Connected Components (Kosaraju/Tarjan).
26What is a Directed Acyclic Graph (DAG)? Why are they important in build systems?
27How do you solve a Maze using Graph algorithms?
28Explain Floyd-Warshall Algorithm (All Pairs Shortest Path).
29How do you detect a Deadlock using a Graph?
30What is the difference between Linear Search and Binary Search?
31What is the precondition for Binary Search?
32Write down the time complexities of Bubble, Selection, Insertion Sort.
33Why is Insertion Sort preferred for small or nearly sorted arrays?
34Explain Merge Sort. What is its time and space complexity?
35Explain Quick Sort. What is its worst-case complexity? How do you avoid it?
36Compare Merge Sort vs Quick Sort. When do you choose which?
37What is Heap Sort? How does it work?
38Is Heap Sort stable? Is Merge Sort stable?
39What is Counting Sort? What are its limitations?
40What is Radix Sort? How does it handle strings?
41What is the fastest possible time complexity for a comparison-based sort? Why?
42What is the difference between Internal and External Sorting?
43How do you find the k-th largest element in an array?
44How do you find the median of a stream of numbers?
45What is a Bucket Sort? When is it effective?
46Explain the concept of Stability in sorting. Why does it matter for multi-key sorting?
47What is a Persistent Data Structure?
48What is a Treap? How does it combine BST and Heap properties?
49What is a Bloom Filter? How do you calculate the False Positive rate?
50What is an LRU Cache? How do you implement it using a Hash Map and Doubly Linked List?
51What is an LFU Cache? How is it different from LRU?
52What is a Suffix Tree/Array? What string problems does it solve?
53What is a Van Emde Boas tree?
54How do you design a Data Structure that supports insert, delete, search, and getRandom in O(1)?
55What is the Median of Medians algorithm? Why is it better than random pivot selection?
56Explain the concept of Cache Oblivious algorithms.
57What is the difference between a Binary Heap and a Fibonacci Heap? Why is Fibonacci Heap theoretically faster for Dijkstra's?
58How are Data Structures used in Database Indexing? (B+ Trees, Hash Indexes)
59How does the Garbage Collector interact with data structures? (Weak references, Gen0/Gen1/Gen2)
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How are Data Structures used in Database Indexing? (B+ Trees, Hash Indexes)

Difficulty: 5/10
B+ Tree indexing, Hash indexes, Index maintenance

Data Structures in Database Indexing

Database indexes use specialized data structures to reduce the amount of data that must be scanned. B+ Trees support ordered lookup, range queries, sorting, and prefix-like ordered access, while hash indexes provide efficient equality lookups but do not naturally support range ordering. The choice depends on the query workload.

javascript
  1. 1

    B+ Trees support equality and range queries.

  2. 2

    B+ Trees maintain sorted key order.

  3. 3

    Hash indexes are optimized for equality predicates.

  4. 4

    Indexes trade storage and write overhead for faster reads.

  5. 5

    Poorly chosen or excessive indexes can increase insert and update costs.

Scenario Questions

0-2 years experience

  1. 1If you need to add a new column that will be frequently searched by equality, how would you choose between a B+ tree index and a hash index?
  2. 2Suppose a query on a table with a B+ tree primary key is returning rows in descending order. How does the B+ tree help avoid extra sorting?

2-5 years experience

  1. 1We observed a sudden slowdown on range queries after adding a new hash index. Walk me through how you would diagnose the issue.
  2. 2When implementing a composite index on (user_id, timestamp) using a B+ tree, what trade‑offs do you consider for query patterns that filter only on timestamp?
  3. 3If a B+ tree index becomes fragmented after many deletes, what steps would you take to rebuild or maintain it, and why?

5-8 years experience

  1. 1Design the indexing strategy for a time‑series table that stores billions of rows per day, supporting both point lookups and range scans. Explain why you would combine B+ trees and hash indexes, and how you’d handle hot‑spot partitions.
  2. 2Our service experiences occasional index corruption after a crash. How would you redesign the index write path to improve durability while keeping write latency low?
  3. 3Explain the performance impact of using a B+ tree with a high fan‑out versus a lower fan‑out in a distributed database shard, especially under skewed key distribution.

8+ years experience

  1. 1We need to migrate a legacy system that uses only hash indexes to a new platform that prefers B+ tree indexes for range queries. Outline a migration plan that minimizes downtime and data inconsistency.
  2. 2Across multiple teams, some services rely on hash indexes for security‑sensitive lookups, while others need ordered scans. How would you establish a company‑wide indexing guideline that balances performance, maintainability, and future extensibility?

Follow-up Questions

  • What are the space implications of each index type?
  • How does the choice affect write amplification?
  • Can you describe a scenario where a hash index would be preferable despite its limitations?
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