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GATE 2024 MT – Question 9

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

A rectangular paper of 20 cm × 8 cm is folded 3 times. Each fold is made along the line of symmetry, which is perpendicular to its long edge. The perimeter of the final folded sheet (in cm) is

  1. 18
  2. 24
  3. 20
  4. 21

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Correct answer: (A) 18

Explanation

Each fold halves the current longer dimension.

Dimensions progress 20×8→10×8→5×8→5×4 cm.

The final perimeter is 2(5+4)=**18 cm, A**.

Continuing to halve the original 20 cm dimension at every step would ignore the changing long edge.