Q1: 1. What is the primary objective of the Travelling Salesman Problem (TSP)?

• A) A. Minimize the number of cities visited
• B) B. Maximize the distance travelled
• C) C. Minimize the total distance travelled
• D) D. Visit cities in random order

Q2: 2. Which algorithm is commonly used to solve the Travelling Salesman Problem optimally for small instances?

• A) A. Breadth-first search
• B) B. Dijkstra's algorithm
• C) C. Greedy algorithm
• D) D. Dynamic programming

Q3: 3. In a real-life scenario, a salesperson needs to visit 5 cities in the shortest path possible. Which approach can be used to solve this problem efficiently?

• A) A. Randomly visiting cities
• B) B. Following a fixed path
• C) C. Using a GPS for navigation
• D) D. Applying an optimization algorithm like TSP

Q4: 4. Which complexity class does the Travelling Salesman Problem belong to?

• A) A. P
• B) B. NP
• C) C. NP-hard
• D) D. NP-complete

Q5: 5. A delivery driver needs to find the shortest route to deliver packages to 6 different locations. Which algorithm would be suitable for finding an optimal solution?

• A) A. A* search algorithm
• B) B. Hill climbing algorithm
• C) C. Travelling Salesman Problem algorithm
• D) D. Bellman-Ford algorithm

Q6: 6. Which type of optimization problem is the Travelling Salesman Problem classified as?

• A) A. Linear programming
• B) B. Integer programming
• C) C. Nonlinear programming
• D) D. Combinatorial optimization

Q7: 7. A courier service wants to optimize the routes for its drivers to minimize fuel consumption and time spent on the road. Which algorithm can help achieve this goal?

• A) A. Depth-first search
• B) B. Travelling Salesman Problem algorithm
• C) C. Prim's algorithm
• D) D. Floyd-Warshall algorithm

Q8: 8. What is the significance of the term 'salesman' in the Travelling Salesman Problem?

• A) A. It refers to a person who sells products in different cities
• B) B. It represents the vehicle used for transportation
• C) C. It symbolizes the optimization objective of visiting all cities
• D) D. It has no specific meaning in this context

Q9: 9. A maintenance worker needs to inspect 8 different machines in a factory. Which algorithm can help plan the most efficient inspection route?

• A) A. Merge sort algorithm
• B) B. Travelling Salesman Problem algorithm
• C) C. Binary search algorithm
• D) D. Knapsack algorithm

Q10: 10. In a network of 10 cities, how many possible routes can be considered by the Travelling Salesman Problem algorithm?

• A) A. 10
• B) B. 45
• C) C. 90
• D) D. 362880

Q11: 11. A museum curator wants to create an audio guide tour for visitors to cover all major exhibits in the shortest path possible. Which algorithm could assist in optimizing the tour route?

• A) A. Travelling Salesman Problem algorithm
• B) B. Quick sort algorithm
• C) C. Floyd-Warshall algorithm
• D) D. Kruskal's algorithm

Q12: 12. What type of graph is commonly used to model the Travelling Salesman Problem?

• A) A. Directed graph
• B) B. Weighted graph
• C) C. Acyclic graph
• D) D. Bipartite graph

Q13: 13. An electrician needs to repair electrical systems in 6 different buildings located across the city. Which algorithm can help plan the most efficient route for the repairs?

• A) A. Travelling Salesman Problem algorithm
• B) B. Bubble sort algorithm
• C) C. Depth-first search
• D) D. Prim's algorithm

Q14: 14. How does the number of cities affect the complexity of solving the Travelling Salesman Problem?

• A) A. Complexity increases linearly
• B) B. Complexity increases exponentially
• C) C. Complexity decreases logarithmically
• D) D. Complexity remains constant

Q15: 15. A food delivery service aims to minimize delivery times by optimizing the route for its drivers. Which algorithm can be employed to achieve this goal?

• A) A. Breadth-first search
• B) B. Travelling Salesman Problem algorithm
• C) C. Dijkstra's algorithm
• D) D. Bellman-Ford algorithm

Q16: 16. What is the key challenge in solving the Travelling Salesman Problem for a large number of cities?

• A) A. Memory constraints
• B) B. Time complexity
• C) C. Limited computational power
• D) D. Lack of suitable algorithms

Q17: 17. A postman needs to deliver mail to 7 different neighborhoods efficiently. Which algorithm can assist in determining the shortest delivery route?

• A) A. Travelling Salesman Problem algorithm
• B) B. Selection sort algorithm
• C) C. Kruskal's algorithm
• D) D. Floyd-Warshall algorithm

Q18: 18. How does the Travelling Salesman Problem relate to the concept of optimization?

• A) A. It aims to maximize the distance travelled
• B) B. It seeks to minimize the number of cities visited
• C) C. It optimizes the route to visit all cities exactly once
• D) D. It has no optimization objective

Q19: 19. A cable technician needs to visit 9 homes for installations. Which algorithm can help plan an efficient route to minimize travel time?

• A) A. Travelling Salesman Problem algorithm
• B) B. Insertion sort algorithm
• C) C. Topological sort algorithm
• D) D. Prim's algorithm

Q20: 20. In a scenario where a technician needs to service 4 different machines in a factory, which algorithm can be applied to determine the optimal order of service?

• A) A. Travelling Salesman Problem algorithm
• B) B. Quick sort algorithm
• C) C. Breadth-first search
• D) D. Dijkstra's algorithm

Q21: 21. What is the primary difference between the Travelling Salesman Problem and the Vehicle Routing Problem?

• A) A. TSP involves a single vehicle, while VRP deals with multiple vehicles
• B) B. TSP aims to maximize routes, while VRP minimizes routes
• C) C. TSP is a deterministic problem, while VRP is probabilistic
• D) D. TSP considers one destination, while VRP considers multiple destinations

Q22: 22. A cable company needs to connect 6 households with fiber optic cables. Which algorithm can help determine the most efficient cable layout?

• A) A. Travelling Salesman Problem algorithm
• B) B. Bubble sort algorithm
• C) C. Dijkstra's algorithm
• D) D. Prim's algorithm

Q23: 23. What is the primary reason for the Travelling Salesman Problem being categorized as NP-complete?

• A) A. The problem is easy to solve
• B) B. The problem can be verified quickly
• C) C. The problem can be reduced to other NP problems
• D) D. The problem has a polynomial-time solution

Q24: 24. A landscaping company wants to optimize its maintenance schedule across 5 different parks. Which algorithm can help plan the most efficient route for the maintenance crew?

• A) A. Travelling Salesman Problem algorithm
• B) B. Merge sort algorithm
• C) C. Depth-first search
• D) D. Bellman-Ford algorithm

Q25: 25. How does the concept of distance play a crucial role in the Travelling Salesman Problem?

• A) A. It determines the speed of the salesman
• B) B. It affects the order of visiting cities
• C) C. It influences the cost of the route
• D) D. It has no impact on the problem