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GATE CSE 2024 Session 1 Q9: Perimeter of a 20 cm × 8 cm sheet after three folds

Question

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

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Answer: A (official GATE 2024 final answer key)

Concept used: Each fold halves the current long edge, and which edge is longer can change after a fold.

First step: Track the sheet fold by fold: 20 × 8, then 10 × 8, then 5 × 8 (now 8 is the long edge).

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Source: official GATE 2024 Session 1 CS question paper and final answer key, organised by IISc Bangalore. Question paper · Answer key

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