AP Police PC · Test of Reasoning and Mental Ability
Cubes and Dice
Surface counting on cubes and dice opposite-face problems.
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Take a full mock →Q1 · Cubes and Dice · MEDIUM
A cube has different symbols on each face. When the cube is placed such that the top face shows a star and the front face shows a circle, the right face shows a square. If the cube is rotated 90° forward (top becomes front), which symbol will be on the top?
Q2 · Cubes and Dice · MEDIUM
A cube is painted blue on two opposite faces, red on two adjacent faces, and yellow on the remaining two faces. The cube is then cut into 64 smaller identical cubes. How many smaller cubes will have exactly two colors on them?