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Algorithms MCQ - Sorting and Searching

11 A search begins the search with the element that is located in the middle of the array

12 To sort many large object or structures, it would be most efficient to

Dynamic structure (Memory Allocated at run-time).
We can have more than one data type.
Re-arrange of linked list is easy (Insertion-Deletion).
It doesn’t waste memory.

So, the answer is 'B'

13 A matrix "a" is called lower triangular if and only if for all j > ai j = 0. If such a matrix is to be sorted in a one-dimensional array, A then ai j could be mapped to which of the following index of A ?

14 Average successful search time for sequential search on 'n' items is

If search key matches the very first item, with one comparison we can terminate. If it is second, two comparisons, etc. Average =[ n (n + 1) ] / 2

15 The average search time of hashing, with linear probing, will be less if the load factor

The load factor is the ratio of the number of records that are currently present and the total number of records that can be present. If the load factor is less, free space will be more. This means the probability of collision is less. So, the search time will be less.

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Question:

The average time required to perform a successful sequential search for an element in an array A(1 : n) is given by

A. (n + 1)/2
B. log2n
C. n(n + 1)/2
D. n2

Correct answer: A

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