GJ Police PC · Reasoning and Mental Ability
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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 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 · 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?
Q5 · Cubes and Dice · EASY
A standard die is thrown twice. The sum of the numbers on the top face is 9. If one face shows 5, what is the number on the top face in the other throw?