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    Transformation of Shapes PYQs for GATE DA

    GATE DA Transformation of Shapes: 3 chapters, 6 previous year questions (100% of Spatial Aptitude), 0 practice questions and one solved question from each cha

    A question from this chapter

    Question 1
    2026 PYQ
    The four pieces of a puzzle are shown in the figure below.
    P Q R S
    Which one of the figures labelled as P, Q, R, and S can be constructed by using each of the four pieces only once without overlaps?
    Question 2
    2024 PYQ
    Visualize two identical right circular cones such that one is inverted over the other
    and they share a common circular base. If a cutting plane passes through the vertices
    of the assembled cones, what shape does the outer boundary of the
    resulting cross-section make?
    Question 3
    2024 PYQ
    The 15 parts of the given figure are to be painted such that no two adjacent parts
    with shared boundaries (excluding corners) have the same color. The minimum
    number of colors required is
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    Transformation of Shapes PYQs for GATE DA

    GATE DA Transformation of Shapes: 3 chapters, 6 previous year questions (100% of Spatial Aptitude), 0 practice questions and one solved question from each chapter.

    About Transformation of Shapes Previous Year Questions (PYQs)

    6 previous year questions from Transformation of Shapes in GATE DA, grouped by chapter with the exam year, answer key and step-by-step solution for each.

    Transformation of Shapes Weightage in GATE DA

    Transformation of Shapes accounts for 6 of 6 Spatial Aptitude previous year questions in our bank (100%), about 2 per paper across 3 papers.

    Transformation of Shapes Chapter Matrix

    ChapterTopicsPYQsShare of unit PYQsPractice questions
    2D Shape Assembly and Pattern Completion2D Puzzle Assembly and Shape Composition, Overlapping Shape Regions and Pattern Completion350%0
    Spatial Visualization of 3D Objects3D Cross-Sections and Solid Visualization, Dice Views and Face Adjacency233%0
    Adjacency, Coloring and Region-Based ReasoningRegion Adjacency and Minimum Coloring117%0

    More from Spatial Aptitude

    One Solved Question from Each Transformation of Shapes Chapter

    Question 1 · 2D Shape Assembly and Pattern Completion · 2026 MCQ
    The four pieces of a puzzle are shown in the figure below.
    P Q R S
    Which one of the figures labelled as P, Q, R, and S can be constructed by using each of the four pieces only once without overlaps?
    1. A.

      P

    2. B.

      Q

    3. C.

      R

    4. D.

      S

    Question 2 · Spatial Visualization of 3D Objects · 2024 MCQ
    Visualize two identical right circular cones such that one is inverted over the other
    and they share a common circular base. If a cutting plane passes through the vertices
    of the assembled cones, what shape does the outer boundary of the
    resulting cross-section make?
    1. A.

      A rhombus

    2. B.

      A triangle

    3. C.

      An ellipse

    4. D.

      A hexagon

    Question 3 · Adjacency, Coloring and Region-Based Reasoning · 2024 MCQ
    The 15 parts of the given figure are to be painted such that no two adjacent parts
    with shared boundaries (excluding corners) have the same color. The minimum
    number of colors required is
    1. A.

      4

    2. B.

      3

    3. C.

      5

    4. D.

      6