List of top Visualization and spatial reasoning Questions on Visual composition in 2D and 3D asked in UCEED

How many times does the most used black coloured shape appear in the composition shown below?

Image P shows an object as seen from the top. Which of the objects given below will appear as shown in image P when viewed from the top? Consider all the objects are made with opaque solids.

A tank with internal dimension 10 cm x 10 cm x 10 cm (length x width x height) is fully filled with spherical marbles, each marble having a diameter of 1 cm. Each layer of marbles should have equal number of marbles. Water is then poured into the tank. What is the volume of water in cubic centimeters required to fill the voids? (Use \( \pi = \frac227 \))

Q, R, S and T are cut-out shapes used to create a composition shown in image P. These cut-out shapes could be rotated and combined without overlapping to create the composition. These cut-out shapes can also be repeated. What is/are the correct combination(s) that can be used to create the composition shown in image P?

In the image shown below, PQ = QR = QS = 2 units. Also, QT = TS = QU = UR. The points T and U are the centre points of the semicircles. What is the total area of shaded portions in square units?

Shown below is the front and top views of two cubes. The red and blue cubes are made up of metal and wax respectively. Red cube is heated and is hot enough to melt wax in the blue cube. As shown in the front and top views, the red cube is moved along the path PQRS creating sharp edges and flat surfaces on the blue cube. What is the total number of surfaces the blue cube will have after the red cube reaches the point S?

Each of the rings in the chain in the given figure has an outer diameter of 5 cm and a cross-sectional diameter of 1 cm. What is the maximum end to end length of the chain in cm?

What is the length of the edge of the largest cube that can be placed inside a sphere of radius 10 cm?

A cube 4 cm x 4 cm x 4 cm has all its corners chamfered as shown in the figure below. On each of its faces it has got a small tetrahedral notch having edges of 1 cm each. What is the sum of the number of vertices and the number of edges in this solid?

27 cubes of edge 10 cm are arranged to create a larger cube. If the cubes at the eight corners are replaced with spheres of diameter 10 cm, what is the minimum number of cubes that do not touch any of the spheres?

P and Q show two different views of the same solid object. Which of the options represent(s) the top view of the solid object?

The shape L is extruded along Z-axis to form a solid as shown in the figure. How many shapes in the Set K will have more than 8 surfaces when extruded along Z-axis?

Which option(s) contain(s) the exact fragments of the image shown on the left?

Which option represents the solid shown below?

A perspective view of a solid is shown below. The solid is symmetrical, and hidden surfaces such as the base are flat. What is the total number of surfaces in the solid?

Which option represents the key frames of the animation shown below?

What is the total number of triangles in the figure given below?

The following operations are done on the curve shown in the figure.
1. The curve is revolved 360 degrees around the Y axis.
2. The resulting form is then cloned twice around the X axis at 120 degrees to each other.
3. The resulting form is then cloned once about the Y axis at 90 degrees.
What is the resulting 3D form?

What is the maximum number of stars that can be packed inside the blue colour boundary including the one that is shown in the image below? The stars can be scaled but should not overlap. At least 4 points of every star should touch the blue colour boundary.

Shown below are tables of a new design. Which table(s) will not tilt, if given a small perturbation in any direction?

Shown in the top row are 4 pieces of building blocks. Which of the option(s) is/are made using all four pieces?

Shown below is an isometric view of a cuboidal glass container of size 2 X 2 X 3 units. It contains a solid wooden block and some water. When tilted, which of the options will be the side view(s) of the glass container?

Four solid pieces P, Q, R and S are arranged to form a cube. Which of the cubes shown in the options is/are NOT possible?

An A4 size paper is cut as shown below and folded across the dotted lines such that it has eight faces named from ‘P’ to ‘W’. It is further folded to make a small booklet for the purpose of a zine design. From the given options, select the correct sequence of pages.