Daily Math Puzzle: 2026-05-31
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2026-05-31
The magician has placed a small cube on a rotating turntable in the center of a circular room. The cube has one red face, one blue face, and four white faces. The magician then spins the turntable and, at a certain point, shines a spotlight on the cube. From the audience's perspective, the red face appears to be facing them, but they cannot see the blue face at all. Which of the following statements must be true?
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Solution
The blue face is facing the ceiling. — Since the cube has one red face, one blue face, and four white faces, and the audience sees the red face, that red face must be on the side facing the audience. The blue face is not visible at all, so it cannot be on any side that could be seen from the audience’s angle. The only faces that are completely hidden from a side view are the top (ceiling) and bottom (floor). Because the cube sits on the turntable, the bottom face is in contact with the table and cannot be the blue face (it would be hidden but also not a "face" in the usual sense). Therefore the blue face must be on the top, facing the ceiling. This matches choice B, which is index 1.
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