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Welcome to the Dynamic Programming MCQs Page

Dive deep into the fascinating world of Dynamic Programming with our comprehensive set of Multiple-Choice Questions (MCQs). This page is dedicated to exploring the fundamental concepts and intricacies of Dynamic Programming, a crucial aspect of Data Structures and Algorithms. In this section, you will encounter a diverse range of MCQs that cover various aspects of Dynamic Programming, from the basic principles to advanced topics. Each question is thoughtfully crafted to challenge your knowledge and deepen your understanding of this critical subcategory within Data Structures and Algorithms.

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Check out the MCQs below to embark on an enriching journey through Dynamic Programming. Test your knowledge, expand your horizons, and solidify your grasp on this vital area of Data Structures and Algorithms.

Note: Each MCQ comes with multiple answer choices. Select the most appropriate option and test your understanding of Dynamic Programming. You can click on an option to test your knowledge before viewing the solution for a MCQ. Happy learning!

Dynamic Programming MCQs | Page 15 of 22

Q141.
Which of the following methods can be used to find the nth Catalan number?
Discuss
Answer: (d).All of the mentioned
Q142.
The recursive formula for Catalan number is given by Cn = ∑Ci*C(n-i).
Consider the following dynamic programming implementation for Catalan numbers. Which of the following lines completes the below code?
#include<stdio.h>
int cat_number(int n)
{
     int i,j,arr[n],k;
     arr[0] = 1;
     for(i = 1; i < n; i++)
     {
         arr[i] = 0;
         for(j = 0,k = i - 1; j < i; j++,k--)
           ______________________;
     }
     return arr[n-1];
 
}
int main()
{
     int ans, n = 8;
     ans = cat_number(n);
     printf("%d\n",ans);
     return 0;
}

Discuss
Answer: (c).arr[i] += arr[j] * arr[k].
Q143.
Which of the following implementations of Catalan numbers has the smallest time complexity?
Discuss
Answer: (b).Binomial coefficients
Q144.
What is the output of the following code?
#include<stdio.h>
int cat_number(int n)
{
     int i,j,arr[n],k;
     arr[0] = 1;
     for(i = 1; i < n; i++)
     {
         arr[i] = 0;
         for(j = 0,k = i - 1; j < i; j++,k--)
         arr[i] += arr[j] * arr[k];
     }
     return arr[n-1];
}
int main()
{
     int ans, n = 8;
     ans = cat_number(n);
     printf("%d\n",ans);
     return 0;
}
Discuss
Answer: (c).429
Q145.
Which of the following implementations of Catalan numbers has the largest space complexity(Don’t consider the stack space)?
Discuss
Answer: (a).Dynamic programming
Q146.
What will be the value stored in arr[5] when the following code is executed?
#include<stdio.h>
int cat_number(int n)
{
     int i,j,arr[n],k;
     arr[0] = 1;
     for(i = 1; i < n; i++)
     {
         arr[i] = 0;
         for(j = 0,k = i - 1; j < i; j++,k--)
          arr[i] += arr[j] * arr[k];
     }
     return arr[n-1];
}
int main()
{
     int ans, n = 10;
     ans = cat_number(n);
     printf("%d\n",ans);
     return 0;
}
Discuss
Answer: (b).42
Q147.
Which of the following errors will occur when the below code is executed?
#include<stdio.h>
int cat_number(int n)
{
     int i,j,arr[n],k;
     arr[0] = 1;
     for(i = 1; i < n; i++)
     {
         arr[i] = 0;
         for(j = 0,k = i - 1; j < i; j++,k--)
           arr[i] += arr[j] * arr[k];
     }
     return arr[n-1];
}
int main()
{
     int ans, n = 100;
     ans = cat_number(n);
     printf("%d\n",ans);
     return 0;
}
Discuss
Answer: (c).Integer value out of range
Q148.
Which of the following methods can be used to solve the assembly line scheduling problem?
Discuss
Answer: (d).All of the mentioned
Q149.
What is the time complexity of the brute force algorithm used to solve the assembly line scheduling problem?
Discuss
Answer: (d).O(2^n)
Q150.
In the dynamic programming implementation of the assembly line scheduling problem, how many lookup tables are required?

a.

0

b.

1

c.

2

d.

3

Discuss
Answer: (c).2

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