GATE AG 2021 • Q2 MCQ • 1 Mark

Section 8: General Aptitude

Analytical & Spatial Aptitude

Subtopic: Spatial Reasoning & 3D Representations

Question Statement:

A transparent square sheet with a diagonal line pattern (a "K"-like shape) is folded along the vertical dotted line shown. The folded sheet will look like ______.

Options:

  • (A) Figure A
  • (B) Figure B
  • (C) Figure C
  • (D) Figure D

Official Answer Key:

C

Step-by-Step Solution & Explanation

Folding a transparent sheet along the vertical dashed line superimposes the left half onto the right half (transparency means both the original marks and their mirror image are visible together after folding, since the fold brings the unmarked/marked pattern onto itself and light passes through). The resulting figure must be the left-right mirror image of the original 'K' pattern combined with the original marks reflected about the fold line, with the correct line lengths and angles preserved. Checking each option for correct mirroring of the two diagonal strokes relative to the vertical stroke, only option (C) reproduces the pattern with the strokes meeting exactly at the fold line and mirrored proportionally, matching the officially released key.

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