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GATE 2021 MT – Question 9

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

A square sheet has side 1 unit. Fold along its main diagonal, then along the folded shape’s symmetry line, then again along its new symmetry line. The area of each face of the final shape is ______ square units.

  1. $1/4$
  2. $1/8$
  3. $1/16$
  4. $1/32$

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Show answer and explanation

Correct answer: (B) $1/8$

Explanation

The diagonal fold halves the initial unit area. Each subsequent fold along the folded shape’s symmetry axis halves its face area again. Final face area is 1/2³=**1/8, B**.