GATE CS 2025 Set 1 — Question 9

MCQ+2 / -0.67MediumPaper Folding, Cutting & PatternsSpatial AptitudeGeneral Aptitude

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

Last updated 5 September 2026

Question

A square paper, shown in figure (I), is folded along the dotted lines as shown in the figures (II) and (III). Then a few cuts are made as shown in figure (IV). Which one of the following patterns will be obtained when the paper is unfolded? Note: The figures shown are representative.

Correct answer (A) [figure] Solution Let's trace the folds and cuts: 1. Figure (I) is a square. 2. Figure (II) shows a diagonal fold from bottom-left to top-right. The bottom-left corner is now at the top-right. 3. Figure (III) shows another fold. The top-left corner of the triangle is folded down to the bottom-right. 4. In Figure (IV), the resulting small triangle has cuts: A square cut at the bottom-left vertex. This vertex corresponds to a corner of the original square paper. Thus, there will be 4 square cuts at the 4 corners of the unfolded paper. A triangular cut on the top edge. This edge is a fold line. When unfolded, it will form a larger shape (like a diamond or two triangles) on the edges of the original square. A rectangular cut on the right edge. This is an outer edge of the original square. It will appear on all four sides. Comparing with the options, pattern (A) correctly shows square cuts at the four corners and triangular shapes on the edges. Turn this into a strength. Explore AI-powered practice and doubt support with Success Tracker.

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Correct answer (A) [figure] Solution Let's trace the folds and cuts: 1. Figure (I) is a square. 2. Figure (II) shows a diagonal fold from bottom-left to top-right. The bottom-left corner is now at the top-right. 3. Figure (III) shows another fold. The top-left corner of the triangle is folded down to the bottom-right. 4. In Figure (IV), the resulting small triangle has cuts: A square cut at the bottom-left vertex. This vertex corresponds to a corner of the original square paper. Thus, there will be 4 square cuts at the 4 corners of the unfolded paper. A triangular cut on the top edge. This edge is a fold line. When unfolded, it will form a larger shape (like a diamond or two triangles) on the edges of the original square. A rectangular cut on the right edge. This is an outer edge of the original square. It will appear on all four sides. Comparing with the options, pattern (A) correctly shows square cuts at the four corners and triangular shapes on the edges.

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