MCQ IN COMPUTER SCIENCE & ENGINEERING

COMPUTER SCIENCE AND ENGINEERING

ALGORITHMS

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
True or false:If an array is already sorted, Linear Search / Sequential Search is more efficient than Binary Search.
A
True
B
False
C
Either A or B
D
None of the above
Explanation: 

Detailed explanation-1: -Linear search can be used on both single and multidimensional array, whereas the binary search can be implemented only on the one-dimensional array. Linear search is less efficient when we consider the large data sets. Binary search is more efficient than the linear search in the case of large data sets.

Detailed explanation-2: -Case 1: When the data is not sorted, a Sequential Search will be more time efficient as it will take O(n) time. A Binary Search would require the data to be sorted in O(nlogn) and then searched O(logn). Therefore, the time complexity would be O(nlogn) + O(logn) = O(nlogn).

Detailed explanation-3: -Although linear and binary searching produces the same overall results, linear search is best used when the data is not in order, or for smaller lists. However, when the list is much longer and the data is in order, it is far more efficient to calculate the indexes needed to perform a binary search.

Detailed explanation-4: -True, Unless the array size is tiny, binary search is faster than linear search. However, sorting the array is required before doing a binary search.

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