GATE CE 2022 Set 1 — Question 10

MCQ+2 / -0.67MediumPaper Folding, Cutting & PatternsSpatial AptitudeGeneral Aptitude

General Aptitude → Spatial Aptitude → Paper Folding, Cutting & Patterns

Last updated 5 September 2026

Question

Consider a cube made by folding a single sheet of paper of appropriate shape. The interior faces of the cube are all blank. However, the exterior faces that are not visible in the above view may not be blank. Which one of the following represents a possible unfolding of the cube?

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Correct answer (MTA) Solution In the given 3D view, the cube has a black top face and a front face with a vertical line. The line is perpendicular to the edge shared with the black top face. 1. In option (A), folding the net would result in the line being parallel to the edge shared with the black face. 2. In option (B), folding the net with the black square as the top face allows the square with the line to be the front face such that the line is vertical (perpendicular to the top edge). The grey square becomes the bottom face. This matches the 3D view. 3. Option (C) does not place the line and black faces in the correct relative orientation. 4. Option (D) includes a '+' symbol which is not present in the original description or view. Turn this into a strength. Explore AI-powered practice and doubt support with Success Tracker.

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Correct answer (MTA) Solution In the given 3D view, the cube has a black top face and a front face with a vertical line. The line is perpendicular to the edge shared with the black top face. 1. In option (A), folding the net would result in the line being parallel to the edge shared with the black face. 2. In option (B), folding the net with the black square as the top face allows the square with the line to be the front face such that the line is vertical (perpendicular to the top edge). The grey square becomes the bottom face. This matches the 3D view. 3. Option (C) does not place the line and black faces in the correct relative orientation. 4. Option (D) includes a '+' symbol which is not present in the original description or view.

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