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Consider the following array A, and the searching element is X. How many comparisons are required to search an element X in array A.
A[ ]= {25, 45, 87, 21, 18, 49, 13, 115, 83, 65}
X = 83
  • a)
    7
  • b)
    8
  • c)
    9
  • d)
    10
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Consider the following array A, and the searching element is X. How ma...
Concept:
Linear search is a sequential searching strategy in which we start at one end of the list and examine each member until we find the target element. It is the most basic search algorithm.
The given data is,
A[ ]= {25, 45, 87, 21, 18, 49, 13, 115, 83, 65}
X = 83
Compare element 25 with 83.
Hence the search is not successful and continues the program.
Compare element 45 with 83.
Hence the search is not successful and continues the program.
Compare element 87 with 83.
Hence the search is not successful and continues the program.
Compare element 21 with 83.
Hence the search is not successful and continues the program.
Compare element 18 with 83.
Hence the search is not successful and continues the program.
Compare element 49 with 83.
Hence the search is not successful and continues the program.
Compare element 13 with 83.
Hence the search is not successful and continues the program.
Compare element 115 with 83.
Hence the search is not successful and continues the program.
Compare element 83 with 83.
Hence the search is successful and exits the program.
Total comparsions are=9.
Hence the correct answer is 9.
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Community Answer
Consider the following array A, and the searching element is X. How ma...
Understanding the Problem
To find how many comparisons are required to search for the element X (which is 83) in the array A, we need to look at the array elements one by one until we find our target.
Array Elements
The array A is as follows:
{25, 45, 87, 21, 18, 49, 13, 115, 83, 65}
Step-by-Step Comparison
1. First Comparison: Compare 25 with 83 (not a match)
2. Second Comparison: Compare 45 with 83 (not a match)
3. Third Comparison: Compare 87 with 83 (not a match)
4. Fourth Comparison: Compare 21 with 83 (not a match)
5. Fifth Comparison: Compare 18 with 83 (not a match)
6. Sixth Comparison: Compare 49 with 83 (not a match)
7. Seventh Comparison: Compare 13 with 83 (not a match)
8. Eighth Comparison: Compare 115 with 83 (not a match)
9. Ninth Comparison: Compare 83 with 83 (match found)
Total Comparisons
In total, it took 9 comparisons to find the element 83 in the array. Each comparison checks one element against the target value X.
Conclusion
Thus, the correct answer is option 'C' (9 comparisons). This sequential search method is straightforward but can be inefficient for larger arrays, as it checks each element until it finds the target or reaches the end of the array.
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Consider the following array A, and the searching element is X. How many comparisons are required to search an element X in array A.A[ ]= {25, 45, 87, 21, 18, 49, 13, 115, 83, 65}X = 83a)7b)8c)9d)10Correct answer is option 'C'. Can you explain this answer?
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