Transformation of shapes — translation, rotation, scaling, mirroring, assembling, grouping; paper folding, cutting and patterns in 2D and 3D.
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Q1 · Spatial Aptitude · HARD
A cube is painted red on all faces. It is then cut into 64 smaller identical cubes. How many of the smaller cubes have exactly two faces painted red?
Q2 · Spatial Aptitude · MEDIUM
A rectangular sheet of dimensions 8 cm × 6 cm is folded once along its length, and a triangular cut is made at the folded edge. When unfolded, what is the total number of triangular holes that will appear?
Q3 · Spatial Aptitude · EASY
A cube is painted red on all six faces and then cut into 64 smaller identical cubes. How many of the smaller cubes have exactly two faces painted red?
Q4 · Spatial Aptitude · MEDIUM
A cube is painted red on two adjacent faces, blue on two opposite faces, and green on the remaining two faces. The cube is then cut into 64 smaller identical cubes. How many of the smaller cubes have exactly two colors on them?