SSC CGL · General Intelligence and Reasoning
Cube colouring, opposite faces, dice problems.
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Q1 · Cubes and Dice · MEDIUM
A cube of side 4 cm is painted on all faces and cut into 1 cm cubes. The number of small cubes with no face painted is:
Q2 · Cubes and Dice · HARD
A cube of side 5 cm is painted on all faces and cut into 1 cm cubes. The number of small cubes with exactly two faces painted is:
Q3 · Cubes and Dice · MEDIUM
On a standard die where opposite faces sum to 7, if 1 is on top and 2 is in front, what number is on the right face?
Q4 · Cubes and Dice · HARD
A cube is painted red on two adjacent faces, blue on two opposite faces, and green on the remaining two faces. The cube is then cut into 27 smaller equal cubes. How many of the smaller cubes have exactly one face painted?
Q5 · Cubes and Dice · MEDIUM
A die is thrown twice. The first throw shows 4 on the top face. The die is then rotated 90 degrees forward (towards you). If 5 was originally on the front face, what number will be on the top face after the rotation?