Which of the following sorting algorithm is of divide-and-conquer type?

To answer this question, we need to understand what the divide-and-conquer strategy in sorting algorithms means.

The divide-and-conquer strategy involves breaking down a problem into smaller subproblems, solving each subproblem independently, and then combining the solutions of the subproblems to obtain the final solution.

Now let's go through each option to determine if it is a divide-and-conquer algorithm:

Option A) Bubble sort - Bubble sort is not a divide-and-conquer algorithm. It compares adjacent elements and swaps them if they are in the wrong order. It does not involve breaking down the problem into smaller subproblems.

Option B) Insertion sort - Insertion sort is also not a divide-and-conquer algorithm. It iterates through the array and inserts each element into its correct position. It does not involve dividing the problem into smaller subproblems.

Option C) Quick sort - Quick sort is a divide-and-conquer algorithm. It selects a pivot element, partitions the array into two subarrays based on the pivot, and then recursively sorts the subarrays. This process involves breaking down the problem into smaller subproblems and combining the solutions to obtain the final sorted array.

Option D) All of the above - Since options A and B are not divide-and-conquer algorithms, the correct answer is not "All of the above."

Therefore, the correct answer is C) Quick sort. It is a sorting algorithm of the divide-and-conquer type.

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