GATE ME Spatial Aptitude PYQs & Answers

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 1–10 of 15. Imported answers require independent review unless marked reviewed.

Topic practice 15 questionsPage 1 of 2

The next figure (indicated by ‘?’) in the sequence is

Diagram for Mechanical Engineering question 3

Your answerChoose one option.

Diagram for Mechanical Engineering question 3 (figure 2)

Diagram for Mechanical Engineering question 3 (figure 3)

Diagram for Mechanical Engineering question 3 (figure 4)

Diagram for Mechanical Engineering question 3 (figure 5)

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The given figure is reflected about the horizontal dashed line and then rotated clockwise by 90° about an axis perpendicular to the plane of the figure.

Which one of the following options correctly shows the resultant figure?

Note: The figures shown are representative.

Diagram for Mechanical Engineering question 8

Your answerChoose one option.

Diagram for Mechanical Engineering question 8 (figure 2)

Diagram for Mechanical Engineering question 8 (figure 3)

Diagram for Mechanical Engineering question 8 (figure 4)

Diagram for Mechanical Engineering question 8 (figure 5)

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Which one of the following options has the correct sequence of objects arranged in the increasing number of mirror lines (lines of symmetry)?

Your answerChoose one option.

Circle; Square; Equilateral triangle; Isosceles triangle

Isosceles triangle; Equilateral triangle; Square; Circle

Equilateral triangle; Isosceles triangle; Square; Circle

Isosceles triangle; Square; Equilateral triangle; Circle

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A planar rectangular paper has two V-shaped pieces attached as shown below.

Diagram for Mechanical Engineering question 9

This piece of paper is folded to make the following closed three-dimensional object.

Diagram for Mechanical Engineering question 9 (figure 2)

The number of folds required to form the above object is

Your answerChoose one option.

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Four equilateral triangles are used to form a regular closed three-dimensional object by joining along the edges. The angle between any two faces is

Your answerChoose one option.

30°

60°

45°

90°

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An opaque pyramid (shown below), with a square base and isosceles faces, is suspended in the path of a parallel beam of light, such that its shadow is cast on a screen oriented perpendicular to the direction of the light beam. The pyramid can be oriented in any direction within the light beam. Under these conditions, which one of the shadows P, Q, R, and S is NOT possible?

Diagram for Mechanical Engineering question 10

Your answerChoose one option.

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Diagram for Mechanical Engineering question 5

A block with a trapezoidal cross-section is placed over a block with rectangular cross section as shown above.

Which one of the following is the correct drawing of the view of the 3D object as viewed in the direction indicated by an arrow in the above figure?

Your answerChoose one option.

Diagram for Mechanical Engineering question 5 (figure 2)

Diagram for Mechanical Engineering question 5 (figure 3)

Diagram for Mechanical Engineering question 5 (figure 4)

Diagram for Mechanical Engineering question 5 (figure 5)

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Which one of the groups given below can be assembled to get the shape that is shown above using each piece only once without overlapping with each other? (rotation and translation operations may be used). Target shape:

Your answerChoose one option.

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Ms. X came out of a building through its front door to find her shadow due to the morning sun falling to her right side with the building to her back. From this, it can be inferred that building is facing ________.

Your answerChoose one option.

North

East

West

South

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The front door of Mr. X’s house faces East. Mr. X leaves the house, walking 50 m straight from the back door that is situated directly opposite to the front door. He then turns to his right, walks for another 50 m and stops. The direction of the point Mr. X is now located at with respect to the starting point is

Your answerChoose one option.

South-East

North-East

West

North-West

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GATE ME Spatial Aptitude PYQs

How to practice Spatial Aptitude

Question 3

Question 8

Question 9

Question 9

Question 10

Question 10

Question 5

Question 5

Question 2

Question 5