# Data Structure and Algorithms using Java Week 8 Nptel Answers

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## Data Structure and Algorithms using Java Week 8 Nptel Answers

**Which of the above statement(s) is(are) true?**

A) Only statements 1, 2, 3, 4 are true

B) All statements except 1, 2, 3, 4 are true

C) All statements are true

D) Only statements 7, 8, 9, 10 are true

**Answer:** C) All statements are true

**When you attempt to retrieve a value from a HashMap using a key that does not exist, which of the following statements is correct?**

A) It returns null.

B) It throws a NoSuchElementException.

C) It throws a NullPointerException.

D) It’s essential to check for null to avoid potential NullPointerExceptions in your code when dealing with HashMaps.

**Answer:** A) It returns null.

D) It’s essential to check for null to avoid potential NullPointerExceptions in your code when dealing with HashMaps.

**Consider an adjacency matrix (M) representation for a simple unweighted graph having V vertices. What is the maximum number of non-zero entries possible in M?**

A) V * V

B) V * (V – 1)

C) (V * (V + 1)) / 2

D) V * (V + 1)

**Answer:** B) V * (V – 1)

**Consider a weighted, directed graph with V vertices and E edges. Which data structure is/are not typically suitable for efficiently finding the shortest paths between all pairs of vertices?**

A) Adjacency matrix

B) Priority queue

C) Stack

D) Hash table

**Answer:** C) Stack

D) Hash table

**Which Java Collection is commonly used to represent a graph as an adjacency list?**

A) ArrayList

B) HashMap

C) TreeMap

D) HashSet

**Answer:** B) HashMap

These are Data Structure and Algorithms using Java Week 8 Nptel Answers

**Which of the following statement/s is/are true in the context of retrieving a value from a HashMap in Java? (assuming a good hash function and a reasonably low load factor)**

A) The time complexity of retrieving a value from a HashMap is O(1)

B) The time complexity of retrieving a value from a HashMap is O(log n)

C) The time complexity of retrieving a value from a HashMap is O(n)

D) The time to retrieve a value from HashMap does not depend on its size.

**Answer:** A) The time complexity of retrieving a value from a HashMap is O(1)

These are Data Structure and Algorithms using Java Week 8 Nptel Answers

**Which of the following statements about HashMap in Java is correct?**

A) HashMap allows duplicate keys but not duplicate values.

B) HashMap allows duplicate values but not duplicate keys.

C) Attempting to put a duplicate key with a different value will keep the previous value associated with that key.

D) Attempting to put a duplicate key with a different value will overwrite the previous value associated with that key.

**Answer:** D) Attempting to put a duplicate key with a different value will overwrite the previous value associated with that key.

**When implementing a breadth-first search (BFS) algorithm on a graph, what data structure is typically used to keep track of vertices in the order they are visited?**

A) Stack

B) Queue

C) Heap

D) Linked list

**Answer:** B) Queue

**In the context of data structures, what is the primary purpose of an adjacency matrix?**

A) To store the values associated with vertices in the graph.

B) To efficiently represent and store the relationships between vertices in a graph.

C) To determine the degree of a vertex in the graph.

D) To find the shortest path between two vertices.

**Answer:** B) To efficiently represent and store the relationships between vertices in a graph.

**In the context of graph traversal, what is the time complexity of determining whether a graph is bipartite using depth-first search (DFS)?**

A) O(V)

B) O(V × E)

C) O(V²)

D) O(E + V)

**Answer:** D) O(E + V)

These are Data Structure and Algorithms using Java Week 8 Nptel Answers

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