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Welcome to the Sorting and Searching MCQs Page

Dive deep into the fascinating world of Sorting and Searching with our comprehensive set of Multiple-Choice Questions (MCQs). This page is dedicated to exploring the fundamental concepts and intricacies of Sorting and Searching, a crucial aspect of Data Structures and Algorithms. In this section, you will encounter a diverse range of MCQs that cover various aspects of Sorting and Searching, 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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Sorting and Searching MCQs | Page 17 of 24

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Discuss
Answer: (d).All of the mentioned
Q162.
Which of the following is a suitable lookup table that can be used in the uniform binary search?(N is the number of elements in the array and the delta array is global)
a)

public static void make_delta(int N) 
{
       int power = 1;
       int i = 0;
       do 
       {
            int half = power;
            power <<= 1;
            delta[i] = (N + half) / power;
       } 
       while (delta[i++] != 0);
}

b)

public static void make_delta(int N) 
{
       int power = 0;
       int i = 0;
       do 
       {
            int half = power;
            power <<= 1;
            delta[i] = (N + half) / power;
       } 
       while (delta[i++] != 0);
}

c)

public static void make_delta(int N) 
{
       int power = 1;
       int i = 0;
       do 
       {
            int half = power;
            power >>= 1;
            delta[i] = (N + half) / power;
       }
       while (delta[i++] != 0);
}

d)

public static void make_delta(int N) 
{
       int power = 1;
       int i = 0;
       do 
       {
            int half = power;
            power <<= 1;
            delta[i] = (N - half) / power;
       } 
       while (delta[i++] != 0);
}

a.

a

b.

b

c.

c

d.

d

Discuss
Answer: (a).a
Q163.
Given delta[4] is a global array and number of elements in the sorted array is 10, what are the values in the delta array?
Discuss
Answer: (b).5, 3, 1, 0
Q164.
Choose the appropriate code snippet that performs uniform binary search.
a)

public static int unisearch(int key) 
{
       int i = delta[0] - 1; 
       int j = 0;
       while (true) 
       {
            if (key == arr[i])
                return i;
            else if (delta[j] == 0)
                return -1;
            else 
            {
                if (key < arr[i])
                    i += delta[++j];
                else
                    i -= delta[++j];
            }
       }
}

b)

public static int unisearch(int key) 
{
       int i = delta[1] - 1; 
       int j = 0;
       while (true) 
       {
            if (key == arr[i])
                return i;
            else if (delta[j] == 0)
                return -1;
            else 
            {
                if (key < arr[i])
                    i -= delta[++j];
                else
                    i += delta[++j];
            }
       }
}

c)

public static int unisearch(int key) 
{
       int i = delta[0] - 1; 
       int j = 0;
       while (true) 
       {
            if (key == arr[i])
                return i;
            else if (delta[j] == 0)
                return -1;
            else 
            {
                if (key < arr[i])
                    i -= delta[++j];
                else
                    i += delta[++j];
            }
       }
}

d) None of the mentioned

a.

a

b.

b

c.

c

d.

d

Discuss
Answer: (c).c
Q165.
What is the time complexity of uniform binary search?
Discuss
Answer: (b).O(logn)
Q166.
Given, arr = {1,3,5,6,7,9,14,15,17,19} key = 17 and delta = {5,3,1,0}
How many key comparisons are made?(exclude the comparison used to decide the left or right sub array)

a.

4

b.

3

c.

5

d.

6

Discuss
Answer: (b).3
Discuss
Answer: (b).Begin from the kth item, where k is the step size
Discuss
Answer: (d).None of the mentioned
Q169.
Which algorithmic technique does Fibonacci search use?
Discuss
Answer: (b).Divide and Conquer
Q170.
Choose the recursive formula for the Fibonacci series.(n>=1)
Discuss
Answer: (c).F(n) = F(n-1) + F(n-2)

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