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1.
Introduction
2.
Easy Data Structure MCQs
2.1.
1. Which data structure is used to perform level-order traversal on a binary tree?
2.2.
2. What is the best and worst case time complexity for a quick sort algorithm?
2.3.
3. What is the minimum number of queues required for implementing a stack?
2.4.
4. Which data structure is used to check a palindrome?
2.5.
5. Which of the following is the application of data structures?
2.6.
6. Which matrix among the following has lots of zero elements?
2.7.
7. What condition should be checked before the deletion operation from the Queue?
2.8.
8. Which among the following data structures is used to implement a priority queue?
2.9.
9. What is an AVL tree?
2.10.
10. Which algorithm is used for the 8 Queens problem?
3.
Medium Data Structure MCQs
3.1.
11. What is the advantage of external hashing over open addressing?
3.2.
12. What is the time and space complexity to delete a node from the singly linked list?
3.3.
13. What is the complexity of searching in direct addressing?
3.4.
14. Which among the following sorting algorithm is the most optimal one to sort a random linked list?
3.5.
15. How many edges are present in the complete graph of n vertices?
3.6.
16. What is the time complexity of performing the enqueue operation in the Queue?
3.7.
17. What is the maximum number of edges possible in a directed graph having 6 vertices and no self-loops?
3.8.
18. What is the maximum depth of a trie with n strings of length m?
3.9.
19. How many nodes does a full binary tree with n leaves contains?
3.10.
20. What is the condition of the overflow of a linear queue implemented using an array?
4.
Hard Data Structure MCQs
4.1.
21. Which of the following is the postfix of the expression A+B/C*(D-A)?
4.2.
22. What output does the following code give?
4.3.
23. What is the cost of searching for an AVL tree?
4.4.
24. What is the time complexity of the delete operation from the rear end of the deque?
4.5.
25. Which is faster in search operation among the AA trees and Red-black trees?
4.6.
26. Consider the following numbers 8,1,2,4,3,9,6,5 to be inserted into the empty binary search tree. What will be the sequence of in-order traversal of the resultant binary search tree?
4.7.
27. What is the level-order traversal of the following tree?
4.8.
28. Which among the following array depict a binary min-heap?
4.9.
29. What is the output of the program after performing the following functions?
4.10.
30. What output does the following code produce?
5.
5.1.
What are the 5 types of data structures?
5.2.
What is the use of data structure Mcq?
5.3.
Which categories are available in data structure Mcq?
5.4.
Why is practicing Data Structure MCQ important?
6.
Conclusion
Last Updated: Mar 27, 2024
Medium

# Most Important Data Structures MCQ with Answers

Crack Google SDE interview : Essential projects
Speaker
Saurav Prateek
SDE-2 @
20 Jun, 2024 @ 01:30 PM

## Introduction

Hey Ninjas! We hope you are preparing well for the interviews. In this article, we are going to discuss the Data Structure MCQs. If you are not familiar with Data structures, you might be facing very difficulties in your interview rounds. Having a good knowledge of Data structures and algorithms is very important not only from a placement point of view but also for solving real-world problems.

To help you in your preparation, we have curated a list of Data Structure MCQ questions according to their difficulty level. Letâ€™s discuss them with their explanations.

## Easy Data Structure MCQs

### 1. Which data structure is used to perform level-order traversal on a binary tree?

(a) Stack

(c) Queue

(d) Hash Table

Ans. (c) Queue

Explanation. The Queue is based on the principle of FIFO ( First in first out ), so it is used to process all the elements at the same level at once.

### 2. What is the best and worst case time complexity for a quick sort algorithm?

(a) Best case: O(1), Worst case: O(n*log(n))

(b) Best case: O(n), Worst case: O(n*log(n))

(c) Best case: O(n*log(n)), Worst case: O(n*log(n))

(d) Best case: O(n*log(n)), Worst case: O(n*n)

Ans. (d) Best case: O(n*log(n)), Worst case: O(n*n)

Explanation. The best case occurs when we select the mean element as the pivot, and the worst case occurs when the array is already sorted and we select the smallest or largest indexed element as the pivot.

### 3. What is the minimum number of queues required for implementing a stack?

(a) 1

(b) 2

(c) 3

(d) 4

Ans. (b) 2

Explanation. We need to use 2 queues, one queue will enqueue the elements, and the second will be used to dequeue elements.

### 4. Which data structure is used to check a palindrome?

(b) Stack

(c) Queue

(d) Tree

Ans. (b) Stack

Explanation. Since stack works on the LIFO principle ( Last in first out ), we put elements till mid into the stack and compare them with the remaining elements.

### 5. Which of the following is the application of data structures?

(a) Image processing

(b) Decision making

(c) Blockchain

(d) All of the above

Ans. (d) All of the above

Explanation. The Data structure are used to store, organize, process, and retrieve data in an efficient manner; hence they can be used in all the above fields.

### 6. Which matrix among the following has lots of zero elements?

(a) Identity matrix

(b) Zero matrix

(c) Unit matrix

(d) Sparse matrix

Ans. (d) Sparse matrix

Explanation. A sparse matrix is a matrix that has the majority of zero elements.

### 7. What condition should be checked before the deletion operation from the Queue?

(a) Front value

(b) Rear value

(c) Underflow

(d) Overflow

Ans. (c) Underflow

Explanation. Underflow is the condition when there are no elements in the Queue. There should be a minimum of one element in the Queue if you want to perform a delete operation.

### 8. Which among the following data structures is used to implement a priority queue?

(a) Array

(b) Tree

(c) Graph

(d) Heap

Ans. (d) Heap

Explanation. We can implement a priority queue using the following data structures: list, array, BST, or heap. But the most efficient one is a heap.

### 9. What is an AVL tree?

(a) A tree that has utmost two children

(b) A tree that has utmost three children

(c) A binary search tree and height-balanced tree

(d) A binary search tree but an unbalanced tree

Ans. (c) A binary search tree and height-balanced tree

Explanation. An AVL tree is a binary search tree and the height-balanced tree.

### 10. Which algorithm is used for the 8 Queens problem?

(a) Dynamic Programming

(b) Branch and bound

(c) Backtracking

(d) None of the above

Ans. (c) Backtracking

Explanation. The backtracking algorithm searches every possible arrangement in which we can place the 8 queens. We have to check the different columns for each queen. There should not be any clashes in the column or any diagonal.

You can check out How to Solve 8 Queens Problem Using Backtracking here.

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## Medium Data Structure MCQs

### 11. What is the advantage of external hashing over open addressing?

(a) Less space is used

(b) Deletion operation is easier.

(c) The time complexity is lesser

(d) All of the above

Ans. (b) Deletion operation is easier.

Explanation. The open addressing scheme has a limitation that we cannot delete the item if the empty bucket is between the search, while external hashing is free from this.

### 12. What is the time and space complexity to delete a node from the singly linked list?

(a) Time complexity: O(1), Space complexity: O(1)

(b) Time complexity: O(1), Space complexity: O(n)

(c) Time complexity: O(n), Space complexity: O(1)

(d) Time complexity: O(n), Space complexity: O(n)

Ans. (c) Time complexity: O(n), Space complexity: O(1)

Explanation. To search for the node, we need to traverse the full linked list; hence time complexity will be O(n), and space complexity will be O(1). As to keep track, we only require a temp variable.

### 13. What is the complexity of searching in direct addressing?

(a) O(1)

(b) O(log(n))

(c) O(n)

(d) O(n2)

Ans. (a) O(1)

Explanation. Searching in direct addressing takes constant time since every key has a unique array position.

### 14. Which among the following sorting algorithm is the most optimal one to sort a random linked list?

(a) Merge sort

(b) Insertion sort

(c) Quick sort

(d) Heap sort

Ans. (a) Merge sort

Explanation. Both insertion and merge sort can be used to sort a random linked list.

Merge sort takes O(N log N) time to sort, and insertion sort takes O(N*N).

### 15. How many edges are present in the complete graph of n vertices?

(a) n(n-1)/2

(b) n(n+1)/2

(c) n

(d) n/2

Ans. (a) n(n-1)/2

Explanation. n complete graph, all the edges are connected to each other; hence the maximum number of edges is calculated by nC2,  which is equal to n(n-1)/2.

### 16. What is the time complexity of performing the enqueue operation in the Queue?

(a) O(1)

(b) O(log(n))

(c) O(n)

(d) O(n*n)

Ans. (a) O(1)

Explanation. The queue is based on the FIFO principle, and the insertion is done from the rear, which can be accessed directly, so it requires O(1) time.

### 17. What is the maximum number of edges possible in a directed graph having 6 vertices and no self-loops?

(a) 6

(b) 30

(c) 36

(d) 216

Ans. (b) 30

Explanation. The graph having n vertices can be connected to n-1 vertices, so the total number of edges possible is n*(n-1).

### 18. What is the maximum depth of a trie with n strings of length m?

(a) n

(b) log2 n

(c) m

(d) log2 m

Ans. (c) m

Explanation. The trie is used to store the strings on the basis of common prefixes. Hence the maximum string length is the maximum depth of the trie.

### 19. How many nodes does a full binary tree with n leaves contains?

(a) 2*n - 1

(b) 2

(c) n

(d) n - 1

Ans. (a) 2*n - 1

Explanation. A full Binary tree has 0 or 2 children. So, a binary tree having n leaves contains 2*n - 1 node.

### 20. What is the condition of the overflow of a linear queue implemented using an array?

(a) Rear = front + 1

(b) Rear = front

(c) Rear = MAX_SIZE

(d) Rear = MAX_SIZE - 1

Ans. (d) Rear = MAX_SIZE - 1

Explanation. We can only insert the elements till the maximum size of the array; hence Rear = MAX_SIZE - 1 should be checked to avoid the overflow condition.

## Hard Data Structure MCQs

### 21. Which of the following is the postfix of the expression A+B/C*(D-A)?

(a) ABC/DA-*+

(b) +A/B*C-DA

(c) ABCDA/-*+

(d) +*-/ABCDA

Ans. (a) ABC/DA-*+

Explanation. In the postfix operation, all the operators appear after the operand.

### 22. What output does the following code give?

``````#include<iostream>
using namespace std;

int main(){
int arr[5]={1,2,3,4,5};
printf("%d", arr[5]);

return 0;
}``````

(a) Garbage Value

(b) 5

(c) 1

(d) Error

Ans. (a) Garbage Value

Explanation. Since the indexing of the array starts from 0, so the elements of an array can be accessed as arr[0] to arr[4]. The arr[5] will try to access some memory location outside the array, hence printing the garbage value.

### 23. What is the cost of searching for an AVL tree?

(a) O(n)

(b) O(log (n))

(c) O(n*n)

(d) O(n*log(n))

Ans. (b) O(log(n))

Explanation. AVL tree is a balanced tree. First, we check the current node value and then recur the left or right subtree accordingly. The number of comparisons is limited by height n; the time complexity is O(log(n)).

### 24. What is the time complexity of the delete operation from the rear end of the deque?

(a) O(1)

(b) O(N)

(c) O(N*N)

(d) O(N*log(N))

Ans. (b) O(N)

Explanation. The time complexity is O(n) as we have to traverse the n elements to delete it from the rear end.

### 25. Which is faster in search operation among the AA trees and Red-black trees?

(a) AA-tree

(b) Red black tree

(c) Equally faster

(d) None of these

Ans. (a) AA-Tree

Explanation. AA-tree is faster than Red black time in searching because it is flatter.

### 26. Consider the following numbers 8,1,2,4,3,9,6,5 to be inserted into the empty binary search tree. What will be the sequence of in-order traversal of the resultant binary search tree?

(a) 8 1 3 5 6 9 2 4

(b) 1 2 3 4 5 6 8 9

(c) 5 6 9 3 4 2 1 8

(d) 8 1 2 4 3 9 6 5

Ans. (b) 1 2 3 4 5 6 8 9

Explanation. The in-order traversal of a BST gives increasing order of the elements.

### 27. What is the level-order traversal of the following tree?

(a) 3, 7, 6, 5, 4, 2, 1

(b) 6, 7, 4, 5, 2, 3, 1

(c) 3, 7, 1, 6, 5, 4, 2

(d) 3, 1, 7, 5, 6, 2, 4

Ans. (c) 3, 7, 1, 6, 5, 4, 2

Explanation. n level-order traversal, all the nodes on each level are traversed, and then we move on to the next level.

### 28. Which among the following array depict a binary min-heap?

(a) 14 12 10 27 16 19

(b) 27 19 16 14 12 10

(c) 16 19 27 12 14 10

(d) 10 12 14 27 16 19

Ans. (d) 10 12 14 27 16 19

Explanation. A min heap has data in such a way that every node value is smaller than its childrenâ€™s value.

### 29. What is the output of the program after performing the following functions?

push(10);

push(20);

pop();

push(15);

pop();

pop();

top();

push() - It is used to push an element into the stack

pop() - It is used to pop the top element of the stack

top() - It returns the top element of the stack

(a) 20

(b) 10

(c) 15

(d) Stack Underflow

Ans. (d) Stack Underflow

Explanation. push (10) and push(20) will push 10 and 20 into the stack. Now pop() will remove the top element, i.e., 20. Now, push(15) will push 15 into the stack. pop() will remove 15 and then 10. Now the stack is empty, hence Stack underflow.

### 30. What output does the following code produce?

``````#include <bits/stdc++.h>
using namespace std;

int main(){
string s = "Coding Ninjas";
stack<char> st;
for(int i=0;i<s.size();i++){
st.push(s[i]);
}
for(int i=0;i<s.size();i++){
cout<<st.top();
st.pop();
}
cout<<endl;
return 0;
}``````

(a) Coding Ninjas

(b) sajniN gnidoC

(c) Ninjas Coding

(d) gnidoC sajniN

Ans. (b) sajniN gnidoC

Explanation. We have put all the characters of the string in the stack; the stack will reverse the string.

## Frequently Asked Questions

### What are the 5 types of data structures?

1. Arrays: Ordered collections with fixed sizes.
2. Linked Lists: Linear data structures with nodes.
3. Stacks: LIFO structures for managing data.
4. Queues: FIFO structures for managing data.
5. Trees: Hierarchical structures used for organizing and searching data.

### What is the use of data structure Mcq?

Data structure MCQs are a tool for assessing a person's understanding of the concepts of data structures, including arrays, linked lists, and graphs. They are commonly used in computer science education to evaluate students' knowledge and mastery of these concepts.

### Which categories are available in data structure Mcq?

Data structure MCQs are typically categorized into different topics, such as arrays, linked lists, stacks, queues, trees, and graphs. Each category focuses on a specific data structure and tests the respondent's understanding of its properties, operations, and applications.

### Why is practicing Data Structure MCQ important?

Practicing Data Structure MCQ is important because it helps individuals reinforce their understanding of data structures concepts and improve their problem-solving skills. It also prepares them for exams and technical interviews, where knowledge of data structures is often tested.

## Conclusion

In this blog, we have gone through some most important Data structures MCQ questions. We have discussed them in detail with their explanation.

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