WB Police PC · Reasoning & Logical Analysis
3-D rotation and visualisation.
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Q1 · Spatial Visualization · MEDIUM
A cube is painted red on all six faces. It is then cut into 64 smaller identical cubes. How many of the smaller cubes will have exactly two faces painted red?
Q2 · Spatial Visualization · EASY
If a paper is folded once and then a hole is punched through it, how many holes will appear when the paper is unfolded?
Q3 · Spatial Visualization · HARD
A solid cube of side 6 cm is cut into smaller cubes of side 2 cm. A hole is drilled straight through the center of the large cube from one face to the opposite face, removing a 2 cm × 2 cm square column. How many complete small cubes of 2 cm side can be obtained from the remaining solid?
Q4 · Spatial Visualization · MEDIUM
A square piece of paper is folded exactly in half twice (first fold, then second fold). After the second fold, one corner is cut off. When the paper is completely unfolded, how many holes will be present?
Q5 · Spatial Visualization · MEDIUM
A cube is painted red on all faces. It is then cut into 64 smaller cubes of equal size. How many cubes will have exactly two faces painted?