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    Algorithms Short Notes for GATE CS

    GATE CS Algorithms: 5 chapters, 47 previous year questions (100% of Algorithms), 10 practice questions and one solved question from each chapter.

    A question from this chapter

    Question 1
    Level 1: Warm-up

    Which of the following classic sorting algorithms performs exactly the same number of comparisons regardless of whether the input array is already sorted, reverse sorted, or randomly ordered?

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    Algorithms Short Notes for GATE CS

    GATE CS Algorithms: 5 chapters, 47 previous year questions (100% of Algorithms), 10 practice questions and one solved question from each chapter.

    About Algorithms Short Notes

    Quick revision sheets for Algorithms in GATE CS. Every chapter is condensed into key formulas, shortcuts and common traps so you can revise 5 chapters fast before the exam.

    Algorithms Weightage in GATE CS

    Algorithms accounts for 47 of 47 Algorithms previous year questions in our bank (100%), about 4.7 per paper across 10 papers.

    Algorithms Chapter Matrix

    ChapterTopicsPYQsShare of unit PYQsPractice questions
    Asymptotic Analysis and Recurrence RelationsSolving Recurrence Relations, Asymptotic Notation and Growth Comparison, Loop Complexity and Function Comparison1226%0
    Searching, Sorting, Selection and HashingSorting Algorithms and Operation Counts, Binary and Bitonic Array Searching, Selection and Comparison Bounds, Linear-Time Array Property Verification, Universal Hashing and Adversarial Inputs1021%10
    Graph Traversal, Connectivity and Directed GraphsBreadth-First Search Trees and Applications, Depth-First Search Edges and Timestamps, Connected Components and Articulation Points, Directed Graphs, Cycles and Strong Connectivity, Greedy Graph Coloring1021%0
    Minimum Spanning Trees and Shortest PathsMST Cut-Cycle Properties and Uniqueness, Minimum Spanning Tree Construction and Counting, Shortest-Path Properties and Algorithms, Effects of Edge-Weight Transformations1021%0
    Dynamic Programming, Greedy Algorithms and OptimizationLongest Non-Decreasing Subsequences and Array Optimization, Rod Cutting Dynamic Programming, Huffman Coding and Prefix-Free Codes, Optimal Path Computation in Directed Acyclic Graphs, Dynamic Programming Table Evaluation511%0

    More from Algorithms

    One Solved Question from Each Algorithms Chapter

    Question 1 · Searching, Sorting, Selection and Hashing MCQ

    Which of the following classic sorting algorithms performs exactly the same number of comparisons regardless of whether the input array is already sorted, reverse sorted, or randomly ordered?

    1. A.

      Insertion Sort

    2. B.

      Bubble Sort (with early termination flag)

    3. C.

      Selection Sort

    4. D.

      Quick Sort

    Correct Answer:

    C

    Step-by-Step Solution

    Key idea: This is a comparative operation count question, testing knowledge of which algorithms are "adaptive" versus "non-adaptive" in their comparison behavior.

    Step 1: Insertion Sort is adaptive; it makes comparisons on a sorted array but on a reverse sorted array.

    Step 2: Bubble Sort with an early termination flag is adaptive; it makes comparisons on a sorted array.

    Step 3: Quick Sort's comparison count heavily depends on pivot selection and the initial order of the array.

    Step 4: Selection Sort always scans the entire unsorted portion to find the minimum element, performing exactly comparisons in all cases.

    Answer: C