Question:
Consider following statements about time complexity :
A. Merge sort and heap sort have $O(n \log n)$ in worst case
B. Quick sort has $O(n \log n)$ in average case and $O(n^2)$ in worst case
C. Insertion sort is faster than merge sort for large $n$
D. Bubble sort is stable
E. Selection sort has fewer swap than insertion sort
Choose the correct answer from the options given below :
Consider following statements about time complexity :
A. Merge sort and heap sort have $O(n \log n)$ in worst case
B. Quick sort has $O(n \log n)$ in average case and $O(n^2)$ in worst case
C. Insertion sort is faster than merge sort for large $n$
D. Bubble sort is stable
E. Selection sort has fewer swap than insertion sort
Choose the correct answer from the options given below :
A. Merge sort and heap sort have $O(n \log n)$ in worst case
B. Quick sort has $O(n \log n)$ in average case and $O(n^2)$ in worst case
C. Insertion sort is faster than merge sort for large $n$
D. Bubble sort is stable
E. Selection sort has fewer swap than insertion sort
Choose the correct answer from the options given below :
Show Hint
Selection sort is the best choice when the cost of "swapping" memory is very high, because it minimizes the total number of swaps.
Updated On: Jun 6, 2026
- B, C, E only
- A, C, D only
- A, B, C only
- A, B, D, E only
Show Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
We analyze the properties of various sorting algorithms.
1. Evaluating A, B, and C:
• A: Both Merge and Heap sort are guaranteed $O(n \log n)$ even in the worst case. This is correct.
• B: Quick sort's worst-case occurs with poor pivot choices (like sorted arrays). Average case is $O(n \log n)$. This is correct.
• C: For large $n$, $O(n \log n)$ (Merge Sort) is always faster than $O(n^2)$ (Insertion Sort). This is incorrect. 2. Evaluating D and E:
• D: Bubble sort does not swap equal elements, preserving their relative order. It is stable. This is correct.
• E: Selection sort performs $O(n)$ swaps in total, whereas Insertion sort can perform $O(n^2)$ swaps/shifts. This is correct. Conclusion: Statements A, B, D, and E are correct.
• A: Both Merge and Heap sort are guaranteed $O(n \log n)$ even in the worst case. This is correct.
• B: Quick sort's worst-case occurs with poor pivot choices (like sorted arrays). Average case is $O(n \log n)$. This is correct.
• C: For large $n$, $O(n \log n)$ (Merge Sort) is always faster than $O(n^2)$ (Insertion Sort). This is incorrect. 2. Evaluating D and E:
• D: Bubble sort does not swap equal elements, preserving their relative order. It is stable. This is correct.
• E: Selection sort performs $O(n)$ swaps in total, whereas Insertion sort can perform $O(n^2)$ swaps/shifts. This is correct. Conclusion: Statements A, B, D, and E are correct.
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