In Panel I, the front view and top view of a 3D structure are shown. Which one of the 3D structures

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GATE-CS is a competitive examination conducted in India. This question is from the 2026 GATE-CS Aptitude paper.

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This GATE-CS 2026 Aptitude question has a medium difficulty level.

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Question

In Panel I, the front view and top view of a 3D structure are shown. Which one of the 3D structures in Panel II possesses the views shown in Panel I?

Accepted Answer

Correct Answer: (D)Concept -- Spatial Visualization and Orthographic Projections: This question tests the ability to mentally reconstruct a 3D object from its 2D orthographic projections (front view and top view). In engineering drawing, orthographic projections must align: the width in the front view must match the width in the top view; the height in the front view must match the height in the side view (not given); and the depth in the top view must match the depth in the side view. The front view shows the object as seen from the front, and the top view shows it from above. The correct 3D shape must simultaneously produce both given projections when viewed from the respective directions. Only structure (iv) is consistent with both the front and top views shown in Panel I. The other options either have extra protrusions in one view or missing elements that would appear in the projections. For example, (i) and (ii) have features that would appear as extra lines in the front or top view, and (iii) has a different outline in the top view. Only (iv) satisfies all given constraints.

In Panel I, the front view and top view of a 3D structure are shown. Which one of the 3D structures in Panel II possesses the views shown in Panel I?

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In Panel I, the front view and top view of a 3D structure are shown. Which one of the 3D structures in Panel II possesses the views shown in Panel I?

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