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GATE CSE 2021 Set 1 Q4: Punched holes after folding a circular sheet twice

Question

A circular sheet of paper is folded along the lines in the directions shown. The paper, after being punched in the final folded state as shown and unfolded in the reverse order of folding, will look like _______.

Top: a circle folded in half along a vertical line, then folded again along a horizontal line into a quarter circle, with a rectangular punch on the vertical edge, a small square punch on the horizontal edge and a quarter-circle punch at the centre. Below: four unfolded circles (A) to (D), each with a central circular hole and four rectangular holes of different orientations
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Answer: A (official GATE 2021 final answer key)

Concept used: Unfolding reflects every punched hole across each fold line, in reverse order of folding.

First step: Unfold the last (horizontal) fold first: the notch on the horizontal edge becomes a small upright hole straddling that line, and the notch on the vertical edge is mirrored below. Then unfold across the vertical line, which joins the vertical-edge notches into long horizontal holes.

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Source: official GATE 2021 Set 1 CS question paper and final answer key, organised by IIT Bombay. Question paper · Answer key

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