GJ Police PC · Reasoning and Mental Ability
Surface counting on cubes and dice opposite-face problems.
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Q1 · Cubes and Dice · 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 have exactly two faces painted red?
Q2 · Cubes and Dice · EASY
A standard dice shows 1 dot on one face and 6 dots on the opposite face. If the sum of dots on opposite faces is always 7, then which number is opposite to 3?
Q3 · Cubes and Dice · MEDIUM
A cube is painted blue on all faces and then cut into 125 smaller identical cubes. How many of the smaller cubes have no face painted?
Q4 · Cubes and Dice · HARD
Two positions of a dice are shown below. When 2 is at the bottom, which number will be at the top? Position 1: Front face shows 3, top face shows 1, right face shows 5. Position 2: Front face shows 4, top face shows 1, right face shows 3.
Q5 · Cubes and Dice · MEDIUM
A cube is painted red on all faces and then cut into 64 smaller identical cubes. How many smaller cubes have exactly two faces painted?