The GATE Grind

GATE General Aptitude: Spatial Aptitude: Spatial Reasoning and Visualization – Previous Year Questions

74 GATE previous year questions on Spatial Aptitude: Spatial Reasoning and Visualization (General Aptitude, Aptitude) with answers and explanations, from every paper.

  1. GATE 2026 XH5 (Psychology) Q2 (1 mark, Multiple choice) – In the sequence of tiles shown below, the missing tile indicated by the question mark should be
  2. GATE 2026 XH5 (Psychology) Q7 (2 marks, Multiple choice) – A paper shown in Panel I is folded along the dashed lines (- - -) to construct a cube. The shaded regions shown in Panel I appear on the outer surface…
  3. GATE 2026 XH2 (English) Q2 (1 mark, Multiple choice) – In the sequence of tiles shown below, the missing tile indicated by the question mark should be
  4. GATE 2026 XH2 (English) Q7 (2 marks, Multiple choice) – A paper shown in Panel I is folded along the dashed lines (- - -) to construct a cube. The shaded regions shown in Panel I appear on the outer surface…
  5. GATE 2023 XH5 (Psychology) Q5 (1 mark, Multiple choice) – How many triangles are present in the given figure?
  6. GATE 2023 XH2 (English) Q5 (1 mark, Multiple choice) – How many triangles are present in the given figure?
  7. GATE 2022 XH5 (Psychology) Q5 (1 mark, Multiple choice) – A building has several rooms and doors as shown in the top view of the building given below. The doors are closed initially. What is the minimum…
  8. GATE 2022 XH5 (Psychology) Q10 (2 marks, Multiple choice) – Which one of the following sets of pieces can be assembled to form a square with a single round hole near the center? Pieces cannot overlap.
  9. GATE 2022 XH2 (English) Q5 (1 mark, Multiple choice) – A building has several rooms and doors as shown in the top view of the building given below. The doors are closed initially. What is the minimum…
  10. GATE 2022 XH2 (English) Q10 (2 marks, Multiple choice) – Which one of the following sets of pieces can be assembled to form a square with a single round hole near the center? Pieces cannot overlap.
  11. GATE 2022 ME (ME1) Q5 (1 mark, Multiple choice) – 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…
  12. GATE 2022 CH Q5 (1 mark, Multiple choice) – A building has several rooms and doors as shown in the top view of the building given below. The doors are closed initially. What is the minimum…
  13. GATE 2022 CH Q10 (2 marks, Multiple choice) – Which one of the following sets of pieces can be assembled to form a square with a single round hole near the center? Pieces cannot overlap.
  14. GATE 2023 CH Q5 (1 mark, Multiple choice) – A line of symmetry is defined as a line that divides a figure into two parts in a way such that each part is a mirror image of the other part about…
  15. GATE 2023 CH Q10 (2 marks, Multiple choice) – Which one of the following shapes can be used to tile (completely cover by repeating) a flat plane, extending to infinity in all directions, without…
  16. GATE 2023 CE (CE1) Q5 (1 mark, Multiple choice) – A line of symmetry is defined as a line that divides a figure into two parts in a way such that each part is a mirror image of the other part about…
  17. GATE 2024 CE (CE2) Q9 (2 marks, Multiple choice) – Five cubes of identical size and another smaller cube are assembled as shown in Figure A. If viewed from direction X, the planar image of the assembly…
  18. GATE 2024 CE (CE2) Q10 (2 marks, Multiple choice) – Visualize a cube that is held with one of the four body diagonals aligned to the vertical axis. Rotate the cube about this axis such that its view…
  19. GATE 2023 ME Q10 (2 marks, Multiple choice) – 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…
  20. GATE 2024 DA Q9 (2 marks, Multiple choice) – 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
  21. GATE 2024 DA Q10 (2 marks, Multiple choice) – 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…
  22. GATE 2025 CH Q10 (2 marks, Multiple choice) – An object is said to have an n-fold rotational symmetry if the object, rotated by an angle of 2n, is identical to the original. Which one of the…
  23. GATE 2026 CH Q7 (2 marks, Multiple choice) – A paper shown in Panel I is folded along the dashed lines (- - -) to construct a cube. The shaded regions shown in Panel I appear on the outer surface…
  24. GATE 2026 DA Q3 (1 mark, Multiple choice) – The four pieces of a puzzle are shown in the figure below.
  25. GATE 2024 ME Q9 (2 marks, Multiple choice) – A planar rectangular paper has two V-shaped pieces attached as shown below. [Figure: A long horizontal paper strip with a V-shaped chevron piece…
  26. GATE 2024 ME Q10 (2 marks, Multiple choice) – 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
  27. GATE 2025 CE (CE1) Q5 (1 mark, Multiple choice) – The figures I, II and III are parts of a sequence. Which one of the following options comes next in the sequence at IV?
  28. GATE 2025 CE (CE1) Q10 (2 marks, Multiple choice) – An object is said to have an n-fold rotational symmetry if the object, rotated by an angle of 2n, is identical to the original. Which one of the…
  29. GATE 2026 CE (CE2) Q3 (1 mark, Multiple choice) – The next figure (indicated by '?') in the sequence is
  30. GATE 2026 CE (CE2) Q10 (2 marks, Multiple choice) – Which one of the patterns labelled P, Q, R, and S is used to generate the following figure?
  31. GATE 2026 CE (CE1) Q2 (1 mark, Multiple choice) – The figure below is supposed to show three non-overlapping shapes – one oval and two triangles. Which one of the following figures P, Q, R, or S fits…
  32. GATE 2026 CE (CE1) Q5 (1 mark, Multiple choice) – Which one of the following figures P, Q, R, or S, correctly shows the 45° clockwise-rotated version of figure (I)?
  33. GATE 2025 ME Q8 (2 marks, Multiple choice) – 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…
  34. GATE 2025 ME Q9 (2 marks, Multiple choice) – Which one of the following options has the correct sequence of objects arranged in the increasing number of mirror lines (lines of symmetry)?
  35. GATE 2026 ME Q3 (1 mark, Multiple choice) – The next figure (indicated by '?') in the sequence is
  36. GATE 2026 ME Q10 (2 marks, Multiple choice) – Which one of the patterns labelled P, Q, R, and S is used to generate the following figure?
  37. GATE 2017 EE Q10 (2 marks, Multiple choice) – A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geographical region. Contour…
  38. GATE 2017 EC Q10 (2 marks, Multiple choice) – A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geographical region. Contour…
  39. GATE 2017 CS Q10 (2 marks, Multiple choice) – A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geographical region. Contour…
  40. GATE 2015 EC Q9 (2 marks, Multiple choice) – A cube of side 3 units is formed using a set of smaller cubes of side 1 unit. Find the proportion of the number of faces of the smaller cubes visible…
  41. GATE 2016 CS Q5 (1 mark, Multiple choice) – A cube is built using 64 cubic blocks of side one unit. After it is built, one cubic block is removed from every corner of the cube. The resulting…
  42. GATE 2019 CS Q10 (2 marks, Multiple choice) – Three of the five students allocated to a hostel put in special requests to the warden. Given the floor plan, select the allocation plan that will…
  43. GATE 2019 EC Q10 (2 marks, Multiple choice) – Five people P, Q, R, S and T work in a bank. P and Q don't like each other but have to share an office till T gets a promotion and moves to the big…
  44. GATE 2021 EE Q2 (1 mark, Multiple choice) – A transparent square sheet shown above is folded along the dotted line. The folded sheet will look like .
  45. GATE 2022 EE Q5 (1 mark, Multiple choice) – The figure below shows the front and rear view of a disc, which is shaded with identical patterns. The disc is flipped once with respect to any one of…
  46. GATE 2022 EE Q10 (2 marks, Multiple choice) – An ant is at the bottom-left corner of a grid (point P) as shown above. It aims to move to the top-right corner of the grid. The ant moves only along…
  47. GATE 2021 EC Q3 (1 mark, Multiple choice) – The least number of squares that must be added so that the line P-Q becomes the line of symmetry is .
  48. GATE 2022 EC Q4 (1 mark, Multiple choice) – The figure shows a grid formed by a collection of unit squares. The unshaded unit square in the grid represents a hole. What is the maximum number of…
  49. GATE 2022 EC Q5 (1 mark, Multiple choice) – An art gallery engages a security guard to ensure that the items displayed are protected. The diagram below represents the plan of the gallery where…
  50. GATE 2022 EC Q10 (2 marks, Multiple choice) – Consider the following square with the four corners and the center marked as P, Q, R, S and T respectively. Let X, Y and Z represent the following…
  51. GATE 2023 EE Q5 (1 mark, Multiple choice) – How many triangles are present in the given figure?
  52. GATE 2024 EE Q2 (1 mark, Multiple choice) – P and Q have been allotted a hostel room with two beds, a study table, and an almirah. P is an avid bird-watcher and wants to sit at the table and…
  53. GATE 2024 EE Q9 (2 marks, Multiple choice) – The assembly shown below has three teethed circular objects (Pinions) and two teethed flat objects (Racks), which are perfectly mating with each…
  54. GATE 2026 EE Q2 (1 mark, Multiple choice) – The figure below is supposed to show three non-overlapping shapes – one oval and two triangles. Which one of the following figures P, Q, R, or S fits…
  55. GATE 2026 EE Q5 (1 mark, Multiple choice) – Which one of the following figures P, Q, R, or S, correctly shows the 45° clockwise-rotated version of figure (I)?
  56. GATE 2023 EC Q5 (1 mark, Multiple choice) – How many rectangles are present in the given figure?
  57. GATE 2023 EC Q10 (2 marks, Multiple choice) – A 100 cm × 32 cm rectangular sheet is folded 5 times. Each time the sheet is folded, the long edge aligns with its opposite side. Eventually, the…
  58. GATE 2024 EC Q9 (2 marks, Multiple choice) – Examples of mirror and water reflections are shown in the figures below: An object appears as the following image after first reflecting in a mirror…
  59. GATE 2024 EC Q10 (2 marks, Multiple choice) – Two identical sheets A and B, of dimensions 24 cm × 16 cm, can be folded into half using two distinct operations, FO1 or FO2. In FO1, the axis of…
  60. GATE 2026 EC Q3 (1 mark, Multiple choice) – The figure below has exactly three intersecting line segments with a rectangular portion WXYZ missing. Which one of the following options P, Q, R, and…
  61. GATE 2026 CS (CS2) Q2 (1 mark, Multiple choice) – A black square PQRS has been cut into two parts. One part of it is shown in Panel I. Which one of the shapes in Panel II is the other part?
  62. GATE 2026 CS (CS2) Q7 (2 marks, Multiple choice) – Two tiles are missing in Panel I. Which one of the options in Panel II is the appropriate choice for the missing tiles?
  63. GATE 2026 CS (CS2) Q9 (2 marks, Multiple choice) – The figure in Panel I is a grid of cells with four rows and four columns. The numbers on the top and on the left represent the number of cells that…
  64. GATE 2026 CS (CS1) Q2 (1 mark, Multiple choice) – The figure shows two 4-tile patterns: a 2x2 square block and a 1x4 straight bar. Either one or both of the patterns can be used any number of times…
  65. GATE 2026 CS (CS1) Q7 (2 marks, Multiple choice) – In Panel I of the figure below, the front view and top view of a structure are shown. Which one of the 3D structures shown in Panel II possesses the…
  66. GATE 2025 CS (CS2) Q4 (1 mark, Multiple choice) – The paper as shown in the figure is folded to make a cube where each square corresponds to a particular face of the cube. Which one of the following…
  67. GATE 2024 CS (CS2) Q9 (2 marks, Multiple choice) – A cube is to be cut into 8 pieces of equal size and shape. Here, each cut should be straight and it should not stop till it reaches the other end of…
  68. GATE 2024 CS (CS1) Q9 (2 marks, Multiple choice) – A rectangular paper of 20 cm × 8 cm is folded 3 times. Each fold is made along the line of symmetry, which is perpendicular to its long edge. The…
  69. GATE 2024 CS (CS1) Q10 (2 marks, Multiple choice) – The least number of squares to be added in the figure to make AB a line of symmetry is
  70. GATE 2023 CS Q5 (1 mark, Multiple choice) – Looking at the surface of a smooth 3-dimensional object from the outside, which one of the following options is TRUE?
  71. GATE 2023 CS Q10 (2 marks, Multiple choice) – Which one of the options best describes the transformation of the 2-dimensional figure P to Q, and then to R, as shown?
  72. GATE 2022 CS Q5 (1 mark, Multiple choice) – A palindrome is a word that reads the same forwards and backwards. In a game of words, a player has two plates painted with the letters A and D. From…
  73. GATE 2022 CS Q10 (2 marks, Multiple choice) – A plot of land must be divided between four families. They want their individual plots to be similar in shape, not necessarily equal in area. The land…
  74. GATE 2021 CS Q4 (1 mark, Multiple choice) – A circular sheet of paper is folded along the lines in the directions shown (first fold along the vertical diameter, then along the horizontal…