GATE CE 2024 Set 2 — Question 10
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General Aptitude → Spatial Aptitude → Transformation of Shapes (Translation, Rotation, Scaling, Mirroring)
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Question
Visualize a cube that is held with one of the four body diagonals aligned to the vertical axis. Rotate the cube about this axis such that its view remains unchanged. The magnitude of the minimum angle of rotation is
Correct answer
(A) 120°
Solution
A cube has 3-fold rotational symmetry about its body diagonals. This means that if you rotate the cube about a body diagonal, it will look exactly the same after every rotation (). Therefore, the minimum angle of rotation for the view to remain unchanged is .
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