GATE CS 2026 Set 1 — Question 7
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General Aptitude → Spatial Aptitude → 2D & 3D Patterns
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Question
In Panel I of the figure below, the front view and top view of a structure are shown. Which one of the 3D structures shown in Panel II possesses the views shown in Panel I?
Correct answer
(D) (iv)
Solution
The problem asks to identify the 3D structure corresponding to the given Front and Top views.1. Analyze the Top View:
The Top View in Panel I shows an L-shape made of three squares: two vertical on the left and one horizontal extending to the right from the bottom. Assuming standard orthographic projection where the bottom of the Top View corresponds to the front of the object, the structure occupies the Front-Left, Back-Left, and Front-Right positions on a grid.2. Analyze the Front View:
The Front View shows a column of height 2 on the left and a column of height 1 on the right. Crucially, there is a horizontal line separating the top and bottom squares of the left column. In engineering drawing, a solid line inside a view represents an edge, often caused by a change in depth (surface discontinuity).3. Evaluate the Options:
The Top View in Panel I shows an L-shape made of three squares: two vertical on the left and one horizontal extending to the right from the bottom. Assuming standard orthographic projection where the bottom of the Top View corresponds to the front of the object, the structure occupies the Front-Left, Back-Left, and Front-Right positions on a grid.2. Analyze the Front View:
The Front View shows a column of height 2 on the left and a column of height 1 on the right. Crucially, there is a horizontal line separating the top and bottom squares of the left column. In engineering drawing, a solid line inside a view represents an edge, often caused by a change in depth (surface discontinuity).3. Evaluate the Options:
- Structure (i): Occupies only 2 positions (vertical stack + 1 side). Top view would be 2 squares. Incorrect.
- Structure (ii): Top view would not match the specific L-shape orientation. Incorrect.
- Structure (iii): Has a tall block (height 2) at the Front-Left and a short block (height 1) at the Front-Right. The Front View of the left column would show the continuous front face of the tall block. There would be no horizontal line dividing the bottom and top halves because they are on the same plane. Incorrect.
- Structure (iv): Has a short block (height 1) at the Front-Left and a tall block (height 2) at the Back-Left. When viewed from the front, the short front block covers the bottom half of the back block. The top edge of the front block is visible as a horizontal line, and the top half of the back block is visible above it. This matches the Front View in Panel I exactly, including the dividing line.
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