GATE CS 2021 Set 1 — Question 4

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MCQ+1 / -0.33MediumPaper Folding, Cutting & PatternsSpatial AptitudeGeneral Aptitude

General Aptitude → Spatial Aptitude → Paper Folding, Cutting & Patterns

Last updated 5 September 2026

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______.

Correct answer (A) [figure] Solution Folding. The circle is first folded along the vertical diameter (right half onto the left), and then along the horizontal diameter (bottom onto the top). The final folded state is the upper-left quadrant: its vertical straight edge is the first fold line and its horizontal straight edge is the second fold line. Punches in the folded state. 1. A quarter-circle cut at the corner (the centre of the circle). 2. A notch on the vertical edge (upper part), wider than it is tall. 3. A small notch on the horizontal edge (left part), taller than it is wide. Unfolding the second fold (horizontal line). Everything is mirrored to the lower half: the quarter circle becomes a semicircle; the notch on the vertical edge is copied to the lower part of the vertical edge; the notch lying on the horizontal fold opens into a hole twice as tall, centred on the horizontal axis on the left. Unfolding the first fold (vertical line). Everything is mirrored to the right half: the centre becomes a full circle; the notches lying on the vertical fold open into holes twice as wide, i.e. long horizontal slots centred on the vertical axis at the top and bottom; the small vertical slot on the left is copied to the right. Result: a central circular hole, long horizontal slots above and below it, and small vertical slots to its left and right. This is option (A). Options (B), (C), (D) have the slots on the wrong axes or with the wrong orientation. Answer: (A) Turn this into a strength. Explore AI-powered practice and doubt support with Success Tracker.

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Correct answer (A) [figure] Solution Folding. The circle is first folded along the vertical diameter (right half onto the left), and then along the horizontal diameter (bottom onto the top). The final folded state is the upper-left quadrant: its vertical straight edge is the first fold line and its horizontal straight edge is the second fold line. Punches in the folded state. 1. A quarter-circle cut at the corner (the centre of the circle). 2. A notch on the vertical edge (upper part), wider than it is tall. 3. A small notch on the horizontal edge (left part), taller than it is wide. Unfolding the second fold (horizontal line). Everything is mirrored to the lower half: the quarter circle becomes a semicircle; the notch on the vertical edge is copied to the lower part of the vertical edge; the notch lying on the horizontal fold opens into a hole twice as tall, centred on the horizontal axis on the left. Unfolding the first fold (vertical line). Everything is mirrored to the right half: the centre becomes a full circle; the notches lying on the vertical fold open into holes twice as wide, i.e. long horizontal slots centred on the vertical axis at the top and bottom; the small vertical slot on the left is copied to the right. Result: a central circular hole, long horizontal slots above and below it, and small vertical slots to its left and right. This is option (A). Options (B), (C), (D) have the slots on the wrong axes or with the wrong orientation. Answer: (A)

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GATE CS 2021 Set 1 — Question 4

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