Data Structures Algorithms-II MCQs

Page No. 9

What is the average number of inversions in an array of N distinct numbers?


aN(N-1)/4


b N(N+1)/2


cN(N-1)/2


d N(N-1)/3


View Answer N(N-1)/4

Any algorithm that sorts by exchanging adjacent elements require O(N2) on average.


aTrue


b False


cA & B


dNone of these


View Answer True

Which of the following algorithm implementations is similar to that of an insertion sort?


aBinary heap


b Quick sort


c Merge sort


d Radix sort


View Answer Binary heap

How many passes does an insertion sort algorithm consist of?


aN


b N-1


cN+1


d N2


View Answer N-1

Which of the following is not an exchange sort?


aBubble Sort


bQuick Sort


cPartition-exchange Sort


dInsertion Sort


View Answer Insertion Sort

In insertion sort, the average number of comparisons required to place the 7th element into its correct position is ____


a 9


b 4


c7


d14


View Answer 4

Statement 1: In insertion sort, after m passes through the array, the first m elements are in sorted order. Statement 2: And these elements are the m smallest elements in the array.


a Both the statements are true


bStatement 1 is true but statement 2 is false


cStatement 1 is false but statement 2 is true


d Both the statements are false



Consider an array of length 5, arr[5] = {9,7,4,2,1}. What are the steps of insertions done while running insertion sort on the array?


a 7 9 4 2 1 4 7 9 2 1 2 4 7 9 1 1 2 4 7 9


b 9 7 4 1 2 9 7 1 2 4 9 1 2 4 7 1 2 4 7 9


c7 4 2 1 9 4 2 1 9 7 2 1 9 7 4 1 9 7 4 2


d7 9 4 2 1 2 4 7 9 1 4 7 9 2 1 1 2 4 7 9



Which of the following is good for sorting arrays having less than 100 elements?


aQuick Sort


b Selection Sort


c Merge Sort


dInsertion Sort


View Answer Insertion Sort

Insertion sort is an example of an incremental algorithm.


aTrue


bFalse


cA & B


dNone of these


View Answer True

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