RSMSSB · Logical Reasoning and Mental Ability
Cube and dice problems.
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Q1 · Cube and Dice · EASY
A standard dice is thrown twice. The first throw shows 3 dots on the top face. The dice is then rotated such that the face showing 3 dots moves to the bottom. If opposite faces of a standard dice always sum to 7, which number will be on the top face now?
Q2 · Cube and Dice · MEDIUM
A cube is painted red on all six faces. It is then cut into 64 smaller identical cubes by making 3 equidistant cuts along each dimension. How many of the smaller cubes will have exactly two faces painted red?
Q3 · Cube and Dice · MEDIUM
Three different positions of the same dice are shown below: Position 1: Top face shows 2, front face shows 3 Position 2: Top face shows 4, front face shows 2 Position 3: Top face shows 6, front face shows 4 Which number is opposite to 3?
Q4 · Cube and Dice · EASY
A cube is painted blue on all faces. It is then cut into 125 smaller identical cubes. How many of the smaller cubes will have no face painted?
Q5 · Cube and Dice · HARD
A dice is shown in two positions: Position 1: 1 is on top, 2 is facing you (front), 3 is on your right Position 2: 2 is on top, 4 is facing you (front), 3 is on your left If the dice is now placed such that 5 is on top, which number will be at the bottom?