MCQs

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Overall MCQs for Reference

Kruskal’s algorithm is primarily used to:
a. Sort arrays
b. Find a minimum spanning tree
c. Perform depth-first search
d. Balance binary search trees
Answer: bsimplilearn+1
What type of graph does Kruskal’s algorithm work on?
a. Directed
b. Undirected
c. Weighted undirected
d. Both b and c
Answer: dinterviewkickstart+1
Kruskal’s algorithm follows which approach?
a. Divide and conquer
b. Dynamic programming
c. Greedy
d. Backtracking
Answer: csanfoundry+2
Which data structure is essential for cycle detection in Kruskal’s algorithm?
a. Stack
b. Union-Find
c. Queue
d. Linked List
Answer: biquanta+2
The first step in Kruskal’s algorithm is to:
a. Select the highest weight edge
b. Sort all edges in increasing order of weight
c. Discover all vertices
d. None of the above
Answer: bacte+1
The time complexity of Kruskal’s algorithm using heap data structure is:
a. O(V^2)
b. O(E log V)
c. O(E log E)
d. O(V log V)
Answer: ctestbook+2
Kruskal’s algorithm never:
a. Accepts cycles in spanning tree
b. Accepts disconnected graphs
c. Works with weighted graphs
d. Selects minimum edge
Answer: aw3schools+1
The main advantage of Kruskal’s algorithm is:
a. Efficiency on dense graphs
b. Simplicity for sparse graphs
c. High memory usage
d. Prefers maximum weights
Answer: bheycoach+1
What does MST stand for in the context of Kruskal’s algorithm?
a. Maximum Spanning Tree
b. Minimum Spanning Tree
c. Middle Spanning Tree
d. Multiple Spanning Trees
Answer: bgeeksforgeeks+2
Which operation is NOT performed by Kruskal’s algorithm?
a. Sorting edges
b. Selecting minimum edge
c. Creating cycles
d. Using Union-Find
Answer: csanfoundry+1
Kruskal’s algorithm stops when:
a. All vertices are in separate trees
b. All edges are added
c. Minimum spanning tree is built
d. None of the above
Answer: csimplilearn+1
Kruskal’s algorithm is optimal because:
a. It always finds the global minimum weight
b. It uses iterative deepening
c. It builds the MST by greedy choice
d. It backtracks for better result
Answer: cgeeksforgeeks+1
If the graph is disconnected, Kruskal’s algorithm finds:
a. No solution
b. Maximum spanning tree
c. Minimum spanning forest
d. Perfect matching
Answer: cbyjus+1
Which application is best suited for Kruskal’s algorithm?
a. Maze solving
b. Shortest path search
c. Network design
d. Binary search trees
Answer: cupgrad+1
Which algorithm is NOT a greedy algorithm for MST?
a. Kruskal’s
b. Prim’s
c. Dijkstra’s
d. Boruvka’s
Answer: cw3schools+1
The space complexity of Kruskal’s algorithm is:
a. O(V^2)
b. O(E + V)
c. O(log V)
d. O(E log V)
Answer: bacte
Kruskal’s algorithm can produce different MSTs when:
a. All edge weights are distinct
b. Multiple edges have the same weight
c. All vertices are isolated
d. Only one edge exists
Answer: btestbook+1
What is the worst-case time complexity of Kruskal’s algorithm?
a. O(n^2)
b. O(E log V)
c. O(E log E)
d. O(V^2)
Answer: ctestbook+1
What process follows edge addition in Kruskal’s algorithm?
a. Vertex coloring
b. Cycle checking with Union-Find
c. Weight increment
d. Edge deletion
Answer: biquanta+1
Which structure efficiently manages the components in Kruskal’s algorithm?
a. Hash table
b. Disjoint-set/Union-Find
c. Stack
d. Array
Answer: binterviewkickstart+1
Which statement is FALSE for Kruskal’s algorithm?
a. It accepts cycles
b. Greedy approach is used
c. It can find Minimum Spanning Forest
d. Starts by sorting edges
Answer: asanfoundry+1
Kruskal’s algorithm sorts edges based on:
a. Destination vertex
b. Increasing weights
c. Random selection
d. Tree depth
Answer: bsimplilearn+1
What is the necessity of sorting edges in Kruskal’s algorithm?
a. Ensures greedy selection of smallest weights
b. Reduces total number of edges
c. Builds depth-first tree
d. Increases the graph size
Answer: aupgrad+1
In Kruskal’s algorithm, if adding an edge forms a cycle:
a. Add edge anyway
b. Reject the edge
c. Reverse edge direction
d. Remove a random vertex
Answer: binterviewkickstart+1
What is the first condition for edge selection in Kruskal’s algorithm?
a. Edge should have maximum length
b. Edge should connect different trees
c. Edge must form a cycle
d. Edge should be unweighted
Answer: bupgrad+1
How does Kruskal’s compare to Prim’s algorithm in terms of MST construction?
a. Adds edges one by one
b. Adds vertices one by one
c. Uses adjacency matrix
d. Ignores edge weights
Answer: aiquanta+1
Which complexity class does Kruskal’s algorithm belong to?
a. Linear
b. Polynomial-logarithmic
c. Exponential
d. Constant
Answer: btestbook+1
Kruskal’s algorithm can handle:
a. Weighted undirected graphs only
b. Unweighted directed graphs only
c. Unweighted undirected graphs only
d. Weighted directed graphs only
Answer: asimplilearn+1
What is the role of the Union operation in Kruskal’s algorithm?
a. Merge two different sets
b. Sort the sets
c. Split the sets
d. None of the above
Answer: aiquanta+1
Which scenario is Kruskal’s algorithm least suited for?
a. Dense graphs
b. Sparse graphs
c. Single edge graph
d. Forest construction
Answer: aacte+1
Kruskal’s algorithm uses which algorithmic paradigm?
a. Divide and conquer
b. Greedy
c. Backtracking
d. Branch and bound
Answer: bsanfoundry+1
Which statement is TRUE about Kruskal’s algorithm?
a. Always begins with edges with highest weights
b. Constructs the MST by adding edges with smallest weight that do not create a cycle
c. Removes nodes with the highest degree first
d. Uses path compression for optimizing sorting
Answer: bw3schools+1
In Kruskal’s, when two or more components are merged:
a. Edge is ignored
b. Edge is included in MST
c. Cycle is formed
d. Vertex is deleted
Answer: bsimplilearn+1
What determines the efficiency of Kruskal’s algorithm in practice?
a. Edge sorting time and cycle detection
b. Vertex degree
c. Graph coloring
d. Source vertex selection
Answer: atestbook+1
Which operation is performed last in Kruskal’s algorithm?
a. Sorting by weight
b. Merging sets with Union-Find
c. Checking for cycles
d. Adding edge to MST
Answer: dupgrad+1
Kruskal’s algorithm avoids forming cycles by:
a. Checking all existing edges
b. Using Union-Find data structure
c. Removing duplicate vertices
d. Adding edges randomly
Answer: binterviewkickstart+1
Which is NOT an application of Kruskal’s algorithm?
a. Network design
b. DNA sequencing
c. Circuit layout
d. Binary heaps
Answer: dupgrad+1
In Kruskal’s algorithm, all edges are considered:
a. Only once
b. Repeatedly until cycle is found
c. According to vertex degree
d. Only those above a threshold
Answer: ageeksforgeeks+1
Kruskal’s algorithm is used extensively in:
a. Data mining
b. Visual graph analysis
c. Shortest path algorithms
d. Minimum spanning tree construction
Answer: dintellipaat+1
On what type of graph is Kruskal’s algorithm typically faster than Prim’s algorithm?
a. Dense graphs
b. Sparse graphs
c. Directed graphs
d. Unweighted graphs
Answer: bacte+1
What does the Kruskal’s algorithm guarantee?
a. Multiple spanning trees
b. Minimum spanning tree (MST)
c. Maximum edge cycle
d. Disconnected graph result
Answer: binterviewkickstart+1
Kruskal’s algorithm prefers which edge property for selection?
a. Maximum weight
b. Minimum weight
c. Random order
d. Highest degree vertex
Answer: bw3schools+1
How does Kruskal’s algorithm handle the graph if it is not connected?
a. Produces an error
b. Flags isolated components
c. Finds minimum spanning forest
d. Ignores disconnected vertices
Answer: cbyjus+1
Kruskal’s algorithm begins by:
a. Initializing all edges as visited
b. Keeping MST empty
c. Assigning random weights
d. Marking all vertices red
Answer: bsiteforinfotech+1
Kruskal’s algorithm is said to make:
a. Locally optimal decisions
b. Globally optimal decisions
c. Random decisions
d. Probabilistic decisions
Answer: ageeksforgeeks+1
Which structure helps Kruskal’s algorithm check for cycles quickly?
a. Heap
b. Queue
c. Disjoint-set (Union-Find)
d. Matrix
Answer: csimplilearn+1
Kruskal’s algorithm sorts edges using:
a. Depth-first search
b. Breadth-first search
c. Any efficient sorting algorithm
d. Matrix multiplication
Answer: cacte+1
During the execution of Kruskal’s algorithm, if two vertices of an edge are in the same tree:
a. Add edge to MST
b. Skip edge
c. Merge both trees
d. Start a new tree
Answer: biquanta+1
Kruskal’s algorithm is guaranteed to produce:
a. Cycle-free spanning tree
b. Weighted spanning forest
c. Disconnected graph
d. Path covering
Answer: aw3schools+1
The logic of Kruskal’s algorithm is best described by:
a. Sorting vertices and connecting highest weights
b. Sorting edges and adding next minimum-weight edge not forming a cycle
c. Coloring nodes using minimum colors
d. Maximizing the path length
Answer: bupgrad+1

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