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ECET 2026 Preparation

Day 23 – DS: Insertion Sort + Comparison | ECET 2026 CSE

In ECET 2026 CSE, Data Structures (DS) is a very scoring subject. Sorting algorithms are a frequent part of the exam. One of the simplest and most expected is Insertion Sort. Understanding its working and comparison count will help you solve both theory-based MCQs and coding questions.


📘 Concept Notes

🔹 Insertion Sort

  • Insertion Sort builds the final sorted array one element at a time.
  • Works similar to arranging playing cards in hand.
  • At each step, it picks the next element and inserts it into the correct position in the already sorted part.
  • Best for small data sets.

🔹 Properties

  • Stable Sort: Maintains relative order of equal keys.
  • In-place Algorithm: Requires only a constant amount of extra space.
  • Time Complexity:
    • Best Case (Already Sorted): O(n)
    • Worst Case (Reverse Sorted): O(n²)
    • Average Case: O(n²)

⚙️ Formulas

Best\ Case = O(n)

Worst\ Case = O(n^2)

Average\ Case = O(n^2)

Comparisons = \frac{n(n-1)}{2}


🔟 10 Most Expected MCQs – Insertion Sort

Q1. Insertion Sort works similar to:
A) Ticket queue
B) Arranging cards
C) Binary Search
D) Tree Traversal

Q2. Best case time complexity of Insertion Sort is:
A) O(1)
B) O(n)
C) O(n log n)
D) O(n²)

Q3. Worst case of Insertion Sort occurs when:
A) Array already sorted
B) Array reverse sorted
C) Random order
D) All equal elements

Q4. Insertion Sort is:
A) Not stable
B) Stable
C) Requires extra array
D) Uses Divide & Conquer

Q5. Number of comparisons in worst case:
A) n
B) n log n
C) n²
D) n(n-1)/2

Q6. Insertion Sort is best suited for:
A) Large datasets
B) Small datasets
C) Linked lists only
D) External sorting

Q7. Which of the following is not true about Insertion Sort?
A) Stable sort
B) In-place algorithm
C) O(n log n) in all cases
D) Works like card arrangement

Q8. Average case complexity of Insertion Sort is:
A) O(n)
B) O(n log n)
C) O(n²)
D) O(log n)

Q9. Insertion Sort is an example of:
A) Divide & Conquer
B) Incremental Approach
C) Greedy Algorithm
D) Dynamic Programming

Q10. For n=5, maximum comparisons in Insertion Sort = ?
A) 5
B) 10
C) 15
D) 20


✅ Answer Key

Q.NoAnswer
Q1B
Q2B
Q3B
Q4B
Q5D
Q6B
Q7C
Q8C
Q9B
Q10B

🧠 Explanations

  • Q1 → B: Works like arranging cards in hand.
  • Q2 → B: Best case = O(n).
  • Q3 → B: Reverse sorted array → Worst case.
  • Q4 → B: Insertion Sort is stable.
  • Q5 → D: Comparisons = n(n–1)/2.
  • Q6 → B: Good for small datasets.
  • Q7 → C: O(n log n) is false, Insertion Sort is O(n²).
  • Q8 → C: Average case O(n²).
  • Q9 → B: Insertion Sort uses incremental approach.
  • Q10 → B: For n=5 → 5(5–1)/2 = 10.

🎯 Why Practice Matters

  • Sorting questions are repeated every year in ECET.
  • Insertion Sort is easy, yet examiners test both theory & formula-based questions.
  • Understanding comparisons helps in analyzing algorithm efficiency.

💪 Motivation Talk

Don’t underestimate small topics!
Remember 👉 Big success comes from mastering small, sure-shot areas.
Practice regularly, success will follow 🚀


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