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Data Structures MCQs with Answers

Practice important Data Structures MCQs with answers and explanations.

Multiple Choice Questions

Q561: How does the parent array help in analyzing the number of trees in the forest?
  • A: By counting the number of elements
  • B: By counting the number of -1 values
  • C: By counting the number of roots
  • D: By counting the number of non-root nodes
View Answer
B

Q562: In the union operation, which tree becomes the root if union(4, 5) is called and 5 is the root?
  • A: 4
  • B: 5
  • C: 3
  • D: 8
View Answer
B

Q563: What is the time complexity of the union operation in a disjoint set data structure?
  • A: O(1)
  • B: O(log n)
  • C: O(n)
  • D: O(n^2)
View Answer
A

Q564: In the find operation, what is the role of the for loop in the provided code?
  • A: To traverse and return the root of the set
  • B: To merge two sets
  • C: To initialize the parent array
  • D: To count the number of elements
View Answer
A

Q565: What happens to the parent array after union(5, 7) if the current parent array is -1 -1 -1 -1 -1 5 -1 7?
  • A: 5 becomes the parent of 7
  • B: 7 becomes the parent of 5
  • C: 5 and 7 are both set to -1
  • D: The array remains unchanged
View Answer
A

Q566: What is the primary advantage of using a single-dimensional array over a two-dimensional matrix for disjoint sets?
  • A: Easier to implement
  • B: Requires less space
  • C: Faster access time
  • D: More intuitive structure
View Answer
B

Q567: What is the significance of the parent[i] = -1 initialization?
  • A: Indicates element i is not part of any set
  • B: Indicates element i is a root of its own set
  • C: Indicates element i is a child node
  • D: Indicates element i is in a disjoint set
View Answer
B

Q568: What does the height of a tree in a disjoint set data structure represent?
  • A: The number of nodes in the tree
  • B: The number of levels in the tree
  • C: The maximum number of child nodes
  • D: The time complexity of union operations
View Answer
B

Q569: What is the primary goal of Union by Size in disjoint sets?
  • A: To minimize the time complexity of the union operation
  • B: To ensure heights of trees stay small
  • C: To increase the depth of trees
  • D: To optimize the find operation
View Answer
B

Q570: In the Union by Size method, what does a negative value in the parent array represent?
  • A: The tree is not a root node
  • B: The size of the tree
  • C: The height of the tree
  • D: The tree has been merged with another tree
View Answer
B

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