Approximation Algorithms MCQs With Answers

Computer MCQs 360July 14, 2023

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Welcome to the Approximation Algorithms MCQs with Answers. In this post, we have shared Approximation Algorithms Online Test for different competitive exams. Find practice Approximation Algorithms Practice Questions with answers in Computer Tests exams here. Each question offers a chance to enhance your knowledge regarding Approximation Algorithms.

Approximation Algorithms Online MCQs

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Test Name: Approximation Algorithms MCQ Quiz Practice
Type: Quiz Test
Total Questions: 40
Total Marks: 40
Time: 40 minutes

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Approximation Algorithms

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1 / 40

Which problem does the Set Cover problem closely resemble in terms of difficulty?

Vertex Cover Problem

Sorting Problem

Binary Search Problem

2 / 40

Which problem involves assigning tasks to machines such that the maximum load on any machine is minimized?

Bin Packing Problem

Shortest Path Problem

Load Balancing Problem

3 / 40

Which algorithm provides a solution that is guaranteed to be within a factor of 2 of the optimal solution for the Vertex Cover problem?

Greedy Algorithm

Dijkstra's Algorithm

Dynamic Programming

4 / 40

Which problem can be approximated using the greedy algorithm to achieve a logarithmic approximation ratio?

Coloring Problem

Bin Packing Problem

Knapsack Problem

5 / 40

Which problem involves finding a set of items that maximizes a certain value without exceeding a given weight limit?

Knapsack Problem

Shortest Path Problem

Bin Packing Problem

6 / 40

Which algorithm provides an approximate solution to the Vertex Cover problem with an approximation ratio of 2?

Greedy Algorithm

Floyd-Warshall Algorithm

Dijkstra's Algorithm

7 / 40

Which algorithm provides a 2-approximation solution for the Maximum Cut problem in a graph?

Randomized Rounding Algorithm

Dijkstra's Algorithm

Quick Sort

8 / 40

What is the approximation ratio of the Randomized Rounding Algorithm for the Maximum Cut problem?

45293

9 / 40

What does the term "approximation ratio" refer to in approximation algorithms?

The ratio of the approximate solution to the optimal solution

The ratio of the input size

The ratio of the time complexity

10 / 40

Which problem involves finding the minimum possible delay for broadcasting information in a network?

Broadcast Scheduling Problem

Bin Packing Problem

Shortest Path Problem

11 / 40

Which algorithm provides an approximate solution to the Traveling Salesman Problem?

Christofides Algorithm

Bellman-Ford Algorithm

Merge Sort

12 / 40

What is the primary challenge in designing a greedy approximation algorithm?

Finding the input size

Sorting the output

Balancing local and global decisions

13 / 40

Which problem involves partitioning a set of items into disjoint subsets such that the total weight in each subset does not exceed a given limit?

Shortest Path Problem

Bin Packing Problem

Travelling Salesman Problem

14 / 40

What is the time complexity of the Approximation Algorithm for the Steiner Tree Problem?

O(2^n)

O(n^2)

O(n log n)

15 / 40

What is the primary challenge in designing approximation algorithms?

Finding the maximum solution

Balancing solution quality and efficiency

Sorting the elements

16 / 40

Which problem involves finding a subgraph that is a tree and connects all vertices with the minimum possible total edge weight?

Bin Packing Problem

Steiner Tree Problem

Shortest Path Problem

17 / 40

What is the primary use of the 2-approximation algorithm for the Vertex Cover problem?

Finding a near-optimal vertex cover

Sorting elements

Calculating factorials

18 / 40

What is the time complexity of the approximation algorithm for the Knapsack Problem using dynamic programming?

O(2^n)

O(n log n)

O(nW)

19 / 40

Which algorithm provides a solution for the Facility Location Problem with a logarithmic approximation ratio?

Greedy Algorithm

Local Search Algorithm

LP Rounding Algorithm

20 / 40

Which algorithm provides an approximation solution for the Weighted Set Cover problem?

Bellman-Ford Algorithm

LP Rounding Algorithm

Merge Sort

21 / 40

What is the time complexity of the 2-approximation algorithm for the Maximum Matching problem?

O(n^2)

O(n log n)

O(2^n)

22 / 40

What is the time complexity of the First Fit Decreasing (FFD) algorithm for the Bin Packing Problem?

O(n log n)

O(n^2)

O(2^n)

23 / 40

What is the approximation ratio of the LP Rounding Algorithm for the Weighted Set Cover problem?

O(1/e)

O(log n)

24 / 40

What is the approximation ratio of the Greedy Algorithm for the Facility Location Problem?

1 - 1/e

25 / 40

Which type of problem does approximation algorithms primarily address?

Sorting

NP-hard

Linear Programming

26 / 40

Which algorithm provides an approximate solution for the Set Cover problem with an approximation ratio of O(log n)?

LP Rounding Algorithm

Merge Sort

Greedy Algorithm

27 / 40

What is the time complexity of the greedy algorithm for the Set Cover problem?

O(n^2)

O(2^n)

O(n log n)

28 / 40

Which method does the 2-approximation algorithm for the Minimum Vertex Cover problem use?

Binary Search

Divide and Conquer

Greedy Approach

29 / 40

What is the approximation ratio of the greedy algorithm for the Knapsack Problem?

1 - 1/e

30 / 40

What is the worst-case approximation ratio of the Christofides Algorithm for the TSP?

45355

45353

31 / 40

What is the time complexity of the approximation algorithm for the Load Balancing Problem?

O(2^n)

O(n log n)

O(n^2)

32 / 40

What is the time complexity of the approximation algorithm for the Broadcast Scheduling Problem?

O(n log n)

O(2^n)

O(n^2)

33 / 40

Which problem involves finding a maximum subset of edges in a graph such that no two edges in the subset share a common endpoint?

Minimum Vertex Cover Problem

Shortest Path Problem

Maximum Matching Problem

34 / 40

Which problem involves finding a subset of edges that connects all vertices and minimizes the total edge weight?

Maximum Flow Problem

Shortest Path Problem

Minimum Spanning Tree (MST)

35 / 40

What is the primary goal of an approximation algorithm?

Find an exact solution

Find a near-optimal solution

Find the maximum solution

36 / 40

What is the time complexity of the approximation algorithm for the Partition Problem?

O(n^2)

O(n log n)

O(2^n)

37 / 40

Which algorithm provides a 2-approximation solution for the Minimum Vertex Cover problem in a graph?

Floyd-Warshall Algorithm

Matching Algorithm

Ford-Fulkerson Algorithm

38 / 40

What is the approximation ratio of the Goemans-Williamson Algorithm for the Maximum Cut problem?

45293

39 / 40

Which problem involves partitioning a set of numbers into subsets such that the sum of each subset is as equal as possible?

Partition Problem

Bin Packing Problem

Shortest Path Problem

40 / 40

Which algorithm provides a 3-approximation solution for the Maximum Cut problem in a graph?

Bellman-Ford Algorithm

Merge Sort

Goemans-Williamson Algorithm

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Computer MCQs 360July 14, 2023

0 4 1 minute read