A _______________ search is more efficient than a linear search. A. bubble B. insertion C. none of the above D. selection E. binary

Break Down the Problem

1. Identify what type of search is being compared against a linear search.
2. Evaluate each option provided to determine which one is more efficient than a linear search.

Relevant Concepts

• Linear Search: This is a simple searching algorithm that checks every element in the list until the desired element is found or the list ends.
• Binary Search: This search works on sorted arrays and reduces the search space by half in each step.

Analysis and Detail

1. Bubble Sort: This is actually a sorting algorithm, not a search algorithm; thus it cannot be compared directly.
2. Insertion Sort: Similar to bubble sort, this is a sorting algorithm.
3. Selection Sort: This is also a sorting algorithm, not a search algorithm.
4. Binary Search: This algorithm is more efficient than linear search, specifically with a time complexity of $O(\log n)$ compared to the time complexity of linear search $O(n)$, but only works on sorted lists.
5. None of the Above: This implies that none of the listed options are more efficient than linear search.

Verify and Summarize

Among the options provided, binary search is the only algorithm that performs more efficiently than a linear search, given that the data is sorted.

Final Answer

E. binary.