List of top Visualization and spatial reasoning Questions on Geometric Transformations

Given below is a drawing on a sheet of paper. Make a cut along the solid arcs and fold the resulting semicircular rings at 90 degrees along the dotted lines. What is the number of raised semicircular rings after following these steps?

Given below is a pattern P, composed of three different shapes 1, 2, and 3. Which options show the pattern(s) that is/are possible if the shape 2 is cut in half along the vertical axis, the shape 3 is rotated clockwise at the center by 45 degrees, and the shape 1 remains unchanged? Overlapping of shapes is not allowed.

Given below are 8 triangular pieces of a puzzle made from the shape P. What is the three-digit number formed when these pieces are arranged correctly?
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Shapes are cut out from two Black Discs, Disc-X and Disc-Y as given below. Identify the correct image, when Disc-Y is kept on top of Disc-X and rotated 60 degrees anti-clockwise.

Which of the options shows the word "TRANSFORM" as it would appear after it is reflected horizontally along AXIS 1 and then vertically along AXIS 2, as indicated in the figure below?

Which of the options can be generated by revolving the quadrilateral in image K, about its edge?

Some of the shapes in the image K are either flipped or rotated in the image J. What is the number of flipped shapes in image J?

Which is the correct representation in the options, if the image K shown below is flipped about the vertical axis (shown on the right side of K)?

Image K is rotated by an angle of 45 degrees anticlockwise. Which option represents the rotated image?

Shown below is a configuration of FOUR solid spheres each of radius 40cm that are placed on four corners of a regular tetrahedron with side 120cm. The centres of the spheres coincide with the corners of the tetrahedron. What is the radius (in cm) of the largest sphere that can be accommodated within the tetrahedron?

Which of the options will collapse completely?

Given on the left is the unwrapped surface of a hollow sphere that was intersected by a smaller solid sphere. Which of the options would result in this unwrapped surface?

Shown below is a portion of a continuous strip. Which of the option(s) is/are part of this strip?

If the image on the left is flipped horizontally (about Y-axis), and then rotated 180 degrees, what will be the resulting image?

Given below is a folded sheet of paper with green colour on one side and red colour on the other side. Dotted lines represent the fold lines. Which option shows the correct fold lines when this sheet is unfolded?

Shown below are two stacked paper cups and a box with their dimensions. If stacking is allowed, then what is the maximum number of cups that can be stored in the box without deforming the cups?

Which of the pieces could be used four times individually to form a square? The pieces can be rotated and flipped but should not be overlapped.

Which option, when folded, will result in the solid shown?

Shown below is a 3D block. Four such blocks are interlocked in a square form. What will be the top view of the blocks after interlocking?

Shown on the left are all the 6 faces of a cube. Which option can be folded into this cube?

The options show maps of some states of India. In only one of the options, the map has been scaled (either up or down). Which is that option?

A puzzle board can be covered completely using puzzle pieces, six of which are shown below. Which of the pieces in the options can be used along with these six pieces to cover the board completely? Flipping and rotating of the pieces is allowed. Overlapping of the pieces is NOT allowed.

Which of the chairs will rock TO AND FRO?

The figure shown below is mirrored along the axes P, Q, R, S, T and U. What would be the resultant figure?

Which of the options is/are simple rotation(s) of the image P?