Data Science and Artificial Intelligence
GATE DA Spatial Aptitude PYQs
Build your understanding with focused practice from past exam papers.
How to practice Spatial Aptitude
Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.
Questions 1–6 of 6. Imported answers require independent review unless marked reviewed.
Question 10
Open questionGAMCQ2 marksNeeds review
In the given figure,
,
, and
are three points on a circle of radius 10 cm with
as its center,
, and
. The figure is representative. The area of the shaded region
is ____________ cm
. 
Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 4
Open questionGAMCQ1 markNeeds review
In the given figure, the numbers associated with the rectangle, triangle, and ellipse are 1, 2, and 3, respectively. Which one among the given options is the most appropriate combination of P, Q, and R?
Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 8
Open questionGAMCQ2 marksNeeds review
A regular dodecagon (12-sided regular polygon) is inscribed in a circle of radius r cm as shown in the figure. The side of the dodecagon is d cm. All the triangles (numbered 1 to 12) in the figure are used to form squares of side r cm and each numbered triangle is used only once to form a square.
The number of squares that can be formed and the number of triangles required to form each square, respectively, are:
Note: The figure shown is representative.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 2
Open questionGAMCQ1 markNeeds review
The 15 parts of the given figure are to be painted such that no two adjacent parts with shared boundaries (exclude corners) have the same color. The minimum number of colors required is
Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 9
Open questionGAMCQ2 marksNeeds review
Three different views of a dice are shown in the figure below.
The piece of paper that can be folded to make this dice is
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 10
Open questionGAMCQ2 marksNeeds review
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?
Your answerChoose one option.
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