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Overall MCQs for Reference

  1. Which type of graph is Prim’s Algorithm used on?
    a. Directed graph
    b. Undirected graph
    c. Cyclic graph
    d. Weighted directed graph
    Answer: b. Undirected graphw3schools+1​
  2. Prim’s Algorithm is an example of which algorithmic paradigm?
    a. Divide and conquer
    b. Dynamic programming
    c. Backtracking
    d. Greedy
    Answer: d. Greedygeeksforgeeks+1​
  3. What is the primary objective of Prim’s Algorithm?
    a. Find the longest path
    b. Find the minimum spanning tree
    c. Find the maximum flow
    d. Find the shortest path
    Answer: b. Find the minimum spanning treeacte+1​
  4. What does Prim’s Algorithm minimize in a graph?
    a. Number of vertices
    b. Number of edges
    c. Total edge weights
    d. Cycles
    Answer: c. Total edge weightsw3schools+1​
  5. How does Prim’s Algorithm start?
    a. With all vertices
    b. With a single edge
    c. With a single vertex
    d. With all edges
    Answer: c. With a single vertexsciencedirect+1​
  6. Which data structure is commonly used in Prim’s Algorithm for selecting the smallest edge quickly?
    a. Stack
    b. Queue
    c. Priority Queue
    d. Tree
    Answer: c. Priority Queueincludehelp+1​
  7. Prim’s Algorithm can handle which type of graph?
    a. Disconnected
    b. Connected
    c. Weighted and Undirected
    d. Both b and c
    Answer: d. Both b and cacte+1​
  8. What happens if Prim’s Algorithm is applied to a disconnected graph?
    a. Finds a minimum spanning tree for all components
    b. Fails to find a spanning tree
    c. Returns an empty tree
    d. Loops infinitely
    Answer: b. Fails to find a spanning treeboardinfinity+1​
  9. Which of the following is NOT a use of Prim’s Algorithm?
    a. Road networks
    b. Social media connections
    c. Electrical grid design
    d. Pathfinding in AI
    Answer: b. Social media connectionsheycoach+1​
  10. Which graph property must Prim’s Algorithm maintain at every step?
    a. Cyclic
    b. Disconnected
    c. Tree structure
    d. Complete
    Answer: c. Tree structurefinalroundai+1​
  11. Which approach is most similar to Prim’s Algorithm in graph processing?
    a. A*
    b. Kruskal’s algorithm
    c. Bellman-Ford
    d. Topological sort
    Answer: b. Kruskal’s algorithmupgrad+1​
  12. Which algorithm is often contrasted with Prim’s Algorithm due to similar purpose?
    a. Dijkstra’s
    b. DFS
    c. A*
    d. Kruskal’s
    Answer: d. Kruskal’ssciencedirect+1​
  13. Prim’s Algorithm may produce different MSTs depending on what?
    a. Edge weight
    b. Graph direction
    c. Starting vertex
    d. Number of nodes
    Answer: c. Starting vertexincludehelp+1​
  14. Which of the following is always true for edges chosen by Prim’s Algorithm?
    a. Maximum weight
    b. Minimum weight connecting current tree
    c. Part of cycles
    d. Not weighted
    Answer: b. Minimum weight connecting current treefinalroundai+1​
  15. What does MST stand for in the context of Prim’s Algorithm?
    a. Maximum Spanning Tree
    b. Minimum Spanning Tree
    c. Main Sub Tree
    d. More Spanning Tree
    Answer: b. Minimum Spanning Treegeeksforgeeks+1​
  16. Which of the following best describes the stopping criteria for Prim’s Algorithm?
    a. When all vertices are included in MST
    b. When all cycles are processed
    c. When all edges are included
    d. When no edges remain
    Answer: a. When all vertices are included in MSTw3schools+1​
  17. Which application is NOT typical for Prim’s Algorithm?
    a. Urban traffic routing
    b. Computer network design
    c. Sorting numbers
    d. Power grid optimization
    Answer: c. Sorting numbersgeeksforgeeks+1​
  18. In Prim’s Algorithm, what is updated for every new vertex added?
    a. Its color
    b. Its weight
    c. Its parent and minimum connecting edge
    d. Its order in traversal
    Answer: c. Its parent and minimum connecting edgeacte+1​
  19. Which of the following is NOT a characteristic of Prim’s Algorithm?
    a. Always produces a unique MST
    b. Greedy
    c. Builds the MST incrementally
    d. Requires a priority queue for efficiency
    Answer: a. Always produces a unique MSTtestbook+1​
  20. In what way is Prim’s Algorithm related to AI?
    a. Used for feature selection
    b. Used for path optimization in maps
    c. Used for clustering graphs
    d. Used for training neural networks
    Answer: b. Used for path optimization in mapslogicmojo+1​
  21. Which of the following is false about Prim’s Algorithm?
    a. It may visit the same node multiple times
    b. It never forms cycles
    c. It always looks for the local minimum edge
    d. It can be used on directed graphs
    Answer: d. It can be used on directed graphstestbook+1​
  22. What must be true about the underlying graph for Prim’s Algorithm to generate an MST?
    a. It must be weighted and directed
    b. It must be connected
    c. It must be sparse
    d. It must have no cycles
    Answer: b. It must be connectedw3schools+1​
  23. Prim’s Algorithm stops when:
    a. All edges have been checked
    b. All vertices are included in the MST
    c. All cycles are eliminated
    d. No more edges remain
    Answer: b. All vertices are included in the MSTfinalroundai+1​
  24. What is the time complexity of Prim’s Algorithm using an adjacency matrix and simple linear search?
    a. 
    b. 
    c. 
    d. 
    Answer: a.  upgrad+1​
  25. Which is a preferred structure for the min-edge selection to improve efficiency in dense graphs?
    a. Binary heap
    b. Stack
    c. Linked list
    d. Array
    Answer: a. Binary heapupgrad+1​
  26. In Prim’s Algorithm, an edge is added to the MST if it connects:
    a. Two unvisited vertices
    b. Two visited vertices
    c. A visited and an unvisited vertex
    d. Any two vertices
    Answer: c. A visited and an unvisited vertexsciencedirect+1​
  27. If there are two edges with the same minimum weight, which does Prim’s Algorithm choose?
    a. Ignores both
    b. Chooses arbitrarily between them
    c. Always chooses the first encountered
    d. None
    Answer: b. Chooses arbitrarily between themtestbook+1​
  28. What makes Prim’s Algorithm efficient for dense graphs?
    a. Few vertices
    b. Priority queue
    c. Stack
    d. Adjacency list
    Answer: b. Priority queueupgrad+1​
  29. Which operation is performed repeatedly by Prim’s Algorithm?
    a. Edge deletion
    b. Minimum edge selection
    c. Vertex removal
    d. Cycle formation
    Answer: b. Minimum edge selectionsciencedirect+1​
  30. Which of the following fields benefit from Prim’s Algorithm?
    a. Electrical grid layout
    b. Maze design
    c. Data clustering
    d. All of the above
    Answer: d. All of the aboveheycoach+1​
  31. How does Prim’s Algorithm guarantee no cycles are formed?
    a. Always skips previously visited vertices
    b. Only adds the smallest edge
    c. Connects only one inside and one outside vertex
    d. Terminates after first loop
    Answer: c. Connects only one inside and one outside vertexacte+1​
  32. If a graph has  vertices, how many edges will the MST produced by Prim’s Algorithm have?
    a. 
    b. 
    c. 
    d. 
    Answer: a.  sanfoundry+1​
  33. Incorporated in AI and machine learning, what can Prim’s Algorithm optimize?
    a. Feature scaling
    b. Graph-based clustering
    c. Dataset normalization
    d. Hyperparameter tuning
    Answer: b. Graph-based clusteringdev+1​
  34. What is the primary difference between Prim’s and Kruskal’s Algorithm?
    a. Order of vertex inclusion
    b. Method for selecting edges
    c. One grows a tree, one joins forests
    d. All of the above
    Answer: d. All of the abovesciencedirect+1​
  35. In Prim’s Algorithm, what is the initial cost of reaching the starting node?
    a. Infinity
    b. Zero
    c. One
    d. Edge weight
    Answer: b. Zerofinalroundai+1​
  36. The worst-case time complexity of Prim’s Algorithm using a binary heap is:
    a. 
    b. 
    c. 
    d. 
    Answer: b.  acte+1​
  37. Prim’s Algorithm is preferred over Kruskal’s Algorithm when:
    a. The graph is sparse
    b. The graph is dense
    c. The weights are all equal
    d. Vertices are unconnected
    Answer: b. The graph is denseupgrad+1​
  38. In what scenario does Prim’s Algorithm become inefficient?
    a. Dense graphs
    b. Sparse graphs with adjacency matrix
    c. Sparse graphs with adjacency list
    d. Trees
    Answer: b. Sparse graphs with adjacency matrixdev+1​
  39. In Prim’s Algorithm, if a newly added vertex offers lower edge costs for previously unvisited vertices, what happens?
    a. Their minimum costs are updated
    b. Their positions are swapped
    c. They are removed
    d. Nothing changes
    Answer: a. Their minimum costs are updatedfinalroundai+1​
  40. Which factor influences the choice between Prim’s or Kruskal’s Algorithm?
    a. Number of cycles
    b. Graph density
    c. Alphabetic order of nodes
    d. Color of edges
    Answer: b. Graph densitysciencedirect+1​
  41. Application of Prim’s Algorithm in artificial intelligence is best described as:
    a. Training neural networks
    b. Finding optimal paths in problem graphs
    c. Generating random numbers
    d. Image recognition
    Answer: b. Finding optimal paths in problem graphslogicmojo+1​
  42. Which is NOT true of Prim’s Algorithm?
    a. Works with self-loops
    b. Maintains a single tree
    c. Greedy approach
    d. Can be implemented with arrays or heaps
    Answer: a. Works with self-loopsw3schools+1​
  43. Which is a limitation of Prim’s Algorithm?
    a. Cannot handle negative edge weights
    b. Inefficient in some sparse graph storage
    c. Can only work for directed graphs
    d. Cannot process dense graphs
    Answer: b. Inefficient in some sparse graph storagedev+1​
  44. Prim’s Algorithm can be terminated prematurely when:
    a. The graph is fully connected
    b. All cycles are removed
    c. All vertices have been included
    d. Edge weights are non-integers
    Answer: c. All vertices have been includedw3schools+1​
  45. Which operation is not central to Prim’s Algorithm?
    a. Edge sorting
    b. Priority queue extraction
    c. Edge addition
    d. Minimum cost update
    Answer: a. Edge sortingacte+1​
  46. In which type of AI systems is Prim’s Algorithm especially useful?
    a. Pathfinding for navigation
    b. Sentiment analysis
    c. Rule-based expert systems
    d. Speech recognition
    Answer: a. Pathfinding for navigationlogicmojo+1​
  47. What happens if a graph given to Prim’s Algorithm has negative edge weights?
    a. The result may still be correct as long as graph has no negative cycles
    b. Algorithm fails
    c. All negative edges are ignored
    d. The output will be maximum spanning tree
    Answer: a. The result may still be correct as long as graph has no negative cyclesboardinfinity+1​
  48. When all edge weights are the same, what is the result of Prim’s Algorithm?
    a. It returns the longest path
    b. Any spanning tree
    c. The same tree every time
    d. No spanning tree
    Answer: b. Any spanning treeincludehelp+1​
  49. How does Prim’s Algorithm impact the computational efficiency of certain AI tasks?
    a. Increases redundancy
    b. Efficiently connects states or clusters
    c. Slows down clustering
    d. Increases number of paths
    Answer: b. Efficiently connects states or clustersgeeksforgeeks+1​
  50. Which statement summarizes Prim’s Algorithm’s strength in AI applications?
    a. Guarantees shortest path in all cases
    b. Ensures optimal resource connections with minimized cost
    c. Is always faster than Kruskal’s
    d. Generates maximum spanning tree
    Answer: b. Ensures optimal resource connections with minimized costdev+1​
  1. https://www.w3schools.com/dsa/dsa_algo_mst_prim.php
  2. https://www.acte.in/prims-algorithm-guide
  3. https://www.geeksforgeeks.org/dsa/prims-minimum-spanning-tree-mst-greedy-algo-5/
  4. https://www.sciencedirect.com/topics/computer-science/prim-algorithm
  5. https://www.includehelp.com/mcq/algorithms-multiple-choice-questions.aspx
  6. https://www.upgrad.com/blog/difference-between-prims-algorithm-and-kruskals-algorithm/
  7. https://www.boardinfinity.com/blog/prims-algorithm/
  8. https://heycoach.in/blog/applications-of-prims-algorithm-in-minimum-spanning-tree-mst/
  9. https://www.geeksforgeeks.org/dsa/project-ideas-that-use-prims-algorithm/
  10. https://www.finalroundai.com/articles/prims-algorithm
  11. https://testbook.com/objective-questions/mcq-on-prims-algorithm–5eea6a0c39140f30f369e0f6
  12. https://logicmojo.com/prims-algorithm-problem
  13. https://dev.to/vjnvisakh/unveiling-the-power-of-prims-algorithm-in-graph-theory-2i8h
  14. https://www.sanfoundry.com/prims-algorithm-multiple-choice-questions-answers-mcqs/
  15. https://www.scribd.com/document/529395656/DSA-third-unit-MCQ
  16. https://www.youtube.com/watch?v=_KX8GDvRzBc
  17. https://www.savemyexams.com/dp/maths/ib/ai/21/hl/revision-notes/geometry-and-trigonometry/graph-theory/minimum-spanning-trees-prims-algorithm/
  18. https://siteforinfotech.com/2017/02/top-20-mcq-minimum-spanning-trees-algorithms.html
  19. https://www.geeksforgeeks.org/quizzes/top-mcqs-on-shortest-paths-in-graphs-with-answers/
  20. https://www.studocu.com/in/document/srm-institute-of-science-and-technology/data-structures-and-algorithms/dsa-gate-questions/111597553

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