Data Structures MCQs with Answers
Practice important Data Structures MCQs with answers and explanations.
Chapter: 32
Q521:
What is the correct approach to proving that the buildHeap algorithm runs in linear time?
A. By comparing it to N log N complexity and showing it is more efficient
B. By showing that it takes constant time
C. By proving the algorithm takes quadratic time
D. By demonstrating that it involves exponential growth
Correct Answer:
A
Chapter: 32
Q522:
How does the theorem related to the sum of node heights in a perfect binary tree relate to heap construction time?
A. It shows that the buildHeap algorithm is less efficient than N log N
B. It demonstrates that the buildHeap algorithm runs in linear time
C. It proves that the height of nodes is irrelevant
D. It indicates that heap construction is exponential
Correct Answer:
B
Chapter: 32
Q523:
What does the getSize method return in the heap class?
A. The maximum capacity of the heap
B. The number of elements currently in the heap
C. The minimum element in the heap
D. The height of the heap
Correct Answer:
B
Chapter: 32
Q524:
What is the purpose of the isFull method in the heap class?
A. To check if the heap is empty
B. To determine if the heap has reached its capacity
C. To check if the heap is currently building
D. To determine if there is space to insert new elements
Correct Answer:
B
Chapter: 33
Q525:
What is the primary advantage of using buildHeap over insert in heap operations?
A. buildHeap is faster than insert
B. buildHeap requires less memory
C. buildHeap is simpler to implement
D. buildHeap is more flexible
Correct Answer:
A
Chapter: 33
Q526:
In the PriorityQueue class, what is the maximum size defined by PQMAX?
A. 10
B. 20
C. 30
D. 40
Correct Answer:
C
Chapter: 33
Q527:
What does the remove method of the PriorityQueue class do if the heap is empty?
A. It returns an Event object
B. It throws an error
C. It prints a message and returns NULL
D. It inserts a new Event
Correct Answer:
C
Chapter: 33
Q528:
Which method in the PriorityQueue class checks if the heap is full?
A. full()
B. length()
C. insert()
D. isEmpty()
Correct Answer:
A
Chapter: 33
Q529:
How does the insert method in the PriorityQueue class signal a successful operation?
A. By returning 0
B. By printing a message
C. By returning 1
D. By throwing an exception
Correct Answer:
C
Chapter: 33
Q530:
What is the result of calling deleteMin() from a min-heap?
A. The maximum element is removed
B. The minimum element is removed
C. The heap is cleared
D. The last element is removed
Correct Answer:
B
Chapter: 33
Q531:
Which algorithm is used to find the kth smallest element in a list efficiently?
A. Sorting the list
B. Applying buildHeap and deleteMin operations
C. Binary search
D. Merge sort
Correct Answer:
B
Chapter: 33
Q532:
How does buildHeap contribute to the selection problem?
A. It directly sorts the elements
B. It constructs a heap which helps in finding the kth smallest element
C. It counts the number of elements
D. It searches for the median
Correct Answer:
B
Chapter: 33
Q533:
In heap sort, what happens when you call deleteMin() N times on a min-heap?
A. The heap gets emptied
B. The elements are sorted in ascending order
C. The heap size doubles
D. The elements are sorted in descending order
Correct Answer:
B
Chapter: 33
Q534:
What is the main purpose of the Disjoint Set ADT?
A. To maintain a collection of disjoint sets
B. To perform efficient sorting
C. To manage heap operations
D. To implement priority queues
Correct Answer:
A
Chapter: 33
Q535:
In the context of image analysis, what is Blob Coloring used for?
A. To find the median color of the image
B. To partition pixels into disjoint sets
C. To count the number of different colors
D. To sort pixels by brightness
Correct Answer:
B
Chapter: 33
Q536:
What is an example of a use case for Disjoint Set ADT?
A. Determining the kth smallest element
B. Implementing heap sort
C. Managing relationships between people
D. Performing binary search
Correct Answer:
C
Chapter: 33
Q537:
What properties define an equivalence relation?
A. Reflexivity, symmetry, transitivity
B. Reflexivity, symmetry, asymmetry
C. Symmetry, transitivity, antisymmetry
D. Reflexivity, asymmetry, transitivity
Correct Answer:
A
Chapter: 34
Q538:
What is an equivalence relation?
A. A relation with reflexivity only
B. A relation with symmetry only
C. A relation with reflexivity, symmetry, and transitivity
D. A relation with transitivity only
Correct Answer:
C
Chapter: 34
Q539:
Which property is not required for a relation to be an equivalence relation?
A. Reflexivity
B. Symmetry
C. Transitivity
D. Antisymmetry
Correct Answer:
D
Chapter: 34
Q540:
What is the reflexivity condition in equivalence relations?
A. x R y if and only if y R x
B. x R x for all x in S
C. If x R y and y R z, then x R z
D. x R x is not necessary
Correct Answer:
B