# MCQ IN COMPUTER SCIENCE & ENGINEERING

## COMPUTER SCIENCE AND ENGINEERING

### ALGORITHMS

 Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
We are searching for an int key in a sorted int array that has n elements. Under what circumstances will Linear Search / Sequential Search be more efficient than Binary Search?
 A key is the last element in the array B key is in the middle of the array C n is very large D key is the first element in the array E key does not exist in the array
Explanation:

Detailed explanation-1: -We are searching for an int key in a sorted int array that has n elements. Under what circumstances will Linear Search / Sequential Search be more efficient than Binary Search? D. Linear search checks the first element first, so it will immediately find the ‘key‘ if ‘key‘ is the first element in the array.

Detailed explanation-2: -Quicksort. Quicksort is one of the most efficient sorting algorithms, and this makes of it one of the most used as well. The first thing to do is to select a pivot number, this number will separate the data, on its left are the numbers smaller than it and the greater numbers on the right.

Detailed explanation-3: -Elements within a sorted array are found using a binary search, in O(log n); thus sorted arrays are suited for cases when one needs to be able to look up elements quickly, e.g. as a set or multiset data structure. This complexity for lookups is the same as for self-balancing binary search trees.

Detailed explanation-4: -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-5: -Binary Search is more optimized and efficient than Linear Search in many ways, especially when the elements are in sorted order. The reason boils down to the complexities of both the searches. 1. Time Complexity: O(N)-Since in linear search, we traverse through the array to check if any element matches the key.

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