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GATE 2025 AR — Architecture – Question 8

General Aptitude · Spatial Aptitude: Spatial Reasoning and Visualization · 2 marks · Multiple choice

The given figure is reflected about the horizontal dashed line and then rotated clockwise by 90° about an axis perpendicular to the plane of the figure.

Which one of the following options correctly shows the resultant figure?

Note: The figures shown are representative.

Diagram for GATE 2025 AR — Architecture question 8
  1. Option A in the figure
  2. Option B in the figure
  3. Option C in the figure
  4. Option D in the figure

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Show answer and explanation

Correct answer: (B) Option B in the figure

Explanation

Track both position and orientation in the stated order. About the square's centre, let x point right and y point up. Horizontal reflection sends (x, y) to (x, −y). A subsequent 90° clockwise rotation sends that to (−y, −x).

Thus original top-left stays top-left; top-right moves to bottom-left; bottom-left moves to top-right; bottom-right stays bottom-right. The symbols therefore end in these positions:

Top-left: lightning bolt.
Top-right: stepped arrow.
Bottom-left: bracket.
Bottom-right: crescent.

Reflect and rotate each symbol's strokes as well. **B** matches both the locations and orientations. Merely moving symbols between corners without changing their shapes would not perform the required transformation.

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