Data Structures MCQs with Answers
Practice important Data Structures MCQs with answers and explanations.
Chapter: 34
Q541:
How does symmetry apply to equivalence relations?
A. If x R y, then y R x is true
B. If x R y, then x R y is false
C. If x R y, then x R x
D. If x R y, then y R z
Correct Answer:
A
Chapter: 34
Q542:
Which of the following is an example of an equivalence relation?
A. ≤ relation
B. Electrical connectivity
C. Less than relation
D. Greater than relation
Correct Answer:
B
Chapter: 34
Q543:
What does the disjoint sets concept primarily involve?
A. Partitions of a set into overlapping sets
B. Partitions of a set into disjoint sets
C. Combining sets into overlapping sets
D. Random grouping of elements
Correct Answer:
B
Chapter: 34
Q544:
How many disjoint sets are there in a set if each member is in exactly one equivalence class?
A. None
B. One
C. Two
D. The number of sets equals the number of elements
Correct Answer:
D
Chapter: 34
Q545:
What is a common operation performed on disjoint sets?
A. Intersection
B. Union
C. Complement
D. Difference
Correct Answer:
B
Chapter: 34
Q546:
What is the purpose of the find operation in disjoint sets?
A. To merge two sets into a new set
B. To determine which set contains a given element
C. To check if two sets are disjoint
D. To create a new set from existing ones
Correct Answer:
B
Chapter: 34
Q547:
In the context of disjoint sets, what does the union operation do?
A. Finds the common elements of two sets
B. Creates a new set from combining two sets
C. Finds the unique elements of two sets
D. Deletes elements from two sets
Correct Answer:
B
Chapter: 34
Q548:
If you have a matrix representing relationships and need to determine if two elements are related indirectly, what approach would you use?
A. Check the matrix for direct relationships only
B. Use a graph to represent the relationships
C. Count the number of elements related to each other
D. Use a recursive search in the matrix
Correct Answer:
B
Chapter: 34
Q549:
What is the storage requirement for a matrix representing relationships among 1000 people?
A. 10^4 bytes
B. 10^6 bytes
C. 10^8 bytes
D. 10^12 bytes
Correct Answer:
B
Chapter: 34
Q550:
What is the efficiency concern when using large matrices for representing relations?
A. Time complexity
B. Memory usage
C. Computation speed
D. Data accuracy
Correct Answer:
B
Chapter: 34
Q551:
In the context of dynamic equivalence problem, how is a relation often represented?
A. As a list of relations only
B. As a two-dimensional boolean matrix
C. As a graph with nodes and edges
D. As a series of equations
Correct Answer:
B
Chapter: 34
Q552:
How can a union operation help in solving equivalence problems in a set of people?
A. By finding all unique relations among people
B. By merging two groups of related people
C. By listing all individuals in separate groups
D. By removing redundant relations
Correct Answer:
B
Chapter: 34
Q553:
If a relation matrix is used and two persons are not directly related, how can you determine if they are indirectly related?
A. Use the find method to check direct relations
B. Check the matrix for indirect relations using existing connections
C. Count the number of relations each person has
D. Use the union operation to combine all relations
Correct Answer:
B
Chapter: 35
Q554:
What is the main goal of the Dynamic Equivalence Problem?
A. Finding minimum spanning tree
B. Storing elements in sets
C. Ensuring efficient union and find operations
D. Sorting elements in sets
Correct Answer:
C
Chapter: 35
Q555:
In the disjoint set data structure, what does the find(i) operation return?
A. The set containing element i
B. The parent of element i
C. The number of elements in the set
D. The height of the tree containing element i
Correct Answer:
A
Chapter: 35
Q556:
What does the union(i, j) operation do in a disjoint set?
A. Finds the root of element i
B. Merges the sets containing elements i and j
C. Returns the height of the tree containing i
D. Deletes element i from the set
Correct Answer:
B
Chapter: 35
Q557:
How does the union operation determine the name of the new set formed?
A. By using the minimum element
B. By using the maximum element
C. By using the first argument of the union function
D. By using the second argument of the union function
Correct Answer:
C
Chapter: 35
Q558:
What does the find(i) function do if parent[i] is greater than 0?
A. It returns i as the root
B. It sets parent[i] to -1
C. It assigns j to parent[i]
D. It merges the set containing i with another set
Correct Answer:
C
Chapter: 35
Q559:
In the parent array implementation, how is a union operation reflected?
A. By changing the root of the first element
B. By changing the parent of the second element
C. By changing the root of the second element
D. By changing the parent of the first element
Correct Answer:
D
Chapter: 35
Q560:
What is the result of find(8) in the given example if the final parent array is -1 -1 -1 3 3 5 5 7?
A. 8
B. 5
C. 3
D. 7
Correct Answer:
C