Approximation Algorithms MCQs With Answers

Computer MCQs 360July 14, 2023

0 7 1 minute read

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

Shortest Path Problem

Bin Packing Problem

Knapsack Problem

2 / 40

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

Finding the input size

Sorting the output

Balancing local and global decisions

3 / 40

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

O(2^n)

O(n log n)

O(n^2)

4 / 40

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

45293

5 / 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)

6 / 40

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

Binary Search

Greedy Approach

Divide and Conquer

7 / 40

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

45353

45355

8 / 40

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

The ratio of the input size

The ratio of the time complexity

The ratio of the approximate solution to the optimal solution

9 / 40

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

1 - 1/e

10 / 40

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

Shortest Path Problem

Partition Problem

Bin Packing Problem

11 / 40

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

45293

12 / 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

13 / 40

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

Calculating factorials

Sorting elements

Finding a near-optimal vertex cover

14 / 40

Which type of problem does approximation algorithms primarily address?

Linear Programming

Sorting

NP-hard

15 / 40

What is the primary challenge in designing approximation algorithms?

Finding the maximum solution

Sorting the elements

Balancing solution quality and efficiency

16 / 40

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

Knapsack Problem

Bin Packing Problem

Coloring Problem

17 / 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

18 / 40

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

O(2^n)

O(n^2)

O(n log n)

19 / 40

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

O(nW)

O(n log n)

O(2^n)

20 / 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?

Travelling Salesman Problem

Bin Packing Problem

Shortest Path Problem

21 / 40

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

Randomized Rounding Algorithm

Dijkstra's Algorithm

Quick Sort

22 / 40

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

Merge Sort

Bellman-Ford Algorithm

Christofides Algorithm

23 / 40

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

1 - 1/e

24 / 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?

Dijkstra's Algorithm

Greedy Algorithm

Dynamic Programming

25 / 40

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

Shortest Path Problem

Minimum Spanning Tree (MST)

Maximum Flow Problem

26 / 40

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

Shortest Path Problem

Load Balancing Problem

Bin Packing Problem

27 / 40

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

O(2^n)

O(n log n)

O(n^2)

28 / 40

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

Sorting Problem

Vertex Cover Problem

Binary Search Problem

29 / 40

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

O(2^n)

O(n^2)

O(n log n)

30 / 40

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

O(2^n)

O(n^2)

O(n log n)

31 / 40

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

Bellman-Ford Algorithm

LP Rounding Algorithm

Merge Sort

32 / 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

33 / 40

What is the primary goal of an approximation algorithm?

Find an exact solution

Find the maximum solution

Find a near-optimal solution

34 / 40

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

O(n log n)

O(n^2)

O(2^n)

35 / 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

36 / 40

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

LP Rounding Algorithm

Greedy Algorithm

Local Search Algorithm

37 / 40

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

Bin Packing Problem

Shortest Path Problem

Broadcast Scheduling Problem

38 / 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?

Maximum Matching Problem

Minimum Vertex Cover Problem

Shortest Path Problem

39 / 40

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

Goemans-Williamson Algorithm

Merge Sort

Bellman-Ford Algorithm

40 / 40

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

O(log n)

O(1/e)

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Computer MCQs 360July 14, 2023

0 7 1 minute read