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Consider an array has 10 elements and the searching element is at array index 6. A starting element is present at index zero. How many comparisons are required to search an element using linear search?
- a)5
- b)6
- c)7
- d)8
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Consider an array has 10 elements and the searching element is at arra...
Concept:
Linear search:
A linear search, often known as a sequential search, is a technique for locating an element in a list. It systematically verifies each element of the list until a match is discovered or the entire list has been searched.
Linear search:
A linear search, often known as a sequential search, is a technique for locating an element in a list. It systematically verifies each element of the list until a match is discovered or the entire list has been searched.
Algorithm:
linear_search(int a[], int n, int X)
linear_search(int a[], int n, int X)
{
for (int i = 0; i < n; i++)
{
if (a[i] == X)
return i+1;
}
for (int i = 0; i < n; i++)
{
if (a[i] == X)
return i+1;
}
}
Explanation:
Worst-case:
In the Linear Search Algorithm, the worst-case scenario happens when the item to be found is at the end of the Array or the element is not present in the array. Hence the linear search compares each element till the end. So it takes maximum time behavior in linear search.
Worst-case:
In the Linear Search Algorithm, the worst-case scenario happens when the item to be found is at the end of the Array or the element is not present in the array. Hence the linear search compares each element till the end. So it takes maximum time behavior in linear search.
Best case:
The best case in the Linear Search Algorithm happens when the item to be found is at the beginning of the Array.
The best case in the Linear Search Algorithm happens when the item to be found is at the beginning of the Array.
Average case:
In the Linear Search Algorithm, the average scenario happens when the item to be found is somewhere in the center of the Array.
In the Linear Search Algorithm, the average scenario happens when the item to be found is somewhere in the center of the Array.
Explanation:
The given data,
Consider an array has 10 elements and the searching element is at array index 6. A starting element is present at index zero.
The given data,
Consider an array has 10 elements and the searching element is at array index 6. A starting element is present at index zero.
Example:
A[10]= {12, 5, 8, 56, 12, 7, 10, 15, 85, 105}
Searching element = 10
First searching element 10 compares with index 0 so not found and compares with the next index element. After It continues till index 6 and searching success.
Hence the total number of comparisons are= 7
Hence the correct answer is 7.
First searching element 10 compares with index 0 so not found and compares with the next index element. After It continues till index 6 and searching success.
Hence the total number of comparisons are= 7
Hence the correct answer is 7.
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Community Answer
Consider an array has 10 elements and the searching element is at arra...
Understanding Linear Search
Linear search is a straightforward searching algorithm that checks each element of an array sequentially until the desired element is found or the end of the array is reached.
Scenario Overview
- You have an array with 10 elements.
- The element you are searching for is located at index 6.
- The search begins at index 0.
Counting Comparisons
To determine how many comparisons are made during a linear search:
- The search starts at index 0 and checks each element in order.
- It will compare the target element with the elements at each index from 0 to 6.
Detailed Comparison Breakdown
- Index 0: Compare with element at index 0 (1st comparison)
- Index 1: Compare with element at index 1 (2nd comparison)
- Index 2: Compare with element at index 2 (3rd comparison)
- Index 3: Compare with element at index 3 (4th comparison)
- Index 4: Compare with element at index 4 (5th comparison)
- Index 5: Compare with element at index 5 (6th comparison)
- Index 6: Compare with element at index 6 (7th comparison)
Total Comparisons
- The total number of comparisons made to find the element at index 6 is 7.
Thus, the correct answer is option 'C' (7 comparisons). Linear search is efficient for small arrays, but its performance can degrade with larger datasets.
Linear search is a straightforward searching algorithm that checks each element of an array sequentially until the desired element is found or the end of the array is reached.
Scenario Overview
- You have an array with 10 elements.
- The element you are searching for is located at index 6.
- The search begins at index 0.
Counting Comparisons
To determine how many comparisons are made during a linear search:
- The search starts at index 0 and checks each element in order.
- It will compare the target element with the elements at each index from 0 to 6.
Detailed Comparison Breakdown
- Index 0: Compare with element at index 0 (1st comparison)
- Index 1: Compare with element at index 1 (2nd comparison)
- Index 2: Compare with element at index 2 (3rd comparison)
- Index 3: Compare with element at index 3 (4th comparison)
- Index 4: Compare with element at index 4 (5th comparison)
- Index 5: Compare with element at index 5 (6th comparison)
- Index 6: Compare with element at index 6 (7th comparison)
Total Comparisons
- The total number of comparisons made to find the element at index 6 is 7.
Thus, the correct answer is option 'C' (7 comparisons). Linear search is efficient for small arrays, but its performance can degrade with larger datasets.
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Consider an array has 10 elements and the searching element is at array index 6. A starting element is present at index zero. How many comparisons are required to search an element using linear search?a)5b)6c)7d)8Correct answer is option 'C'. Can you explain this answer? for Humanities/Arts 2025 is part of Humanities/Arts preparation. The Question and answers have been prepared according to the Humanities/Arts exam syllabus. Information about Consider an array has 10 elements and the searching element is at array index 6. A starting element is present at index zero. How many comparisons are required to search an element using linear search?a)5b)6c)7d)8Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Humanities/Arts 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider an array has 10 elements and the searching element is at array index 6. A starting element is present at index zero. How many comparisons are required to search an element using linear search?a)5b)6c)7d)8Correct answer is option 'C'. Can you explain this answer?.
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