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GATE CSE 2025 Session 1 Q9: Pattern on a twice-folded square after cuts

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.

Top row: (I) a square, (II) the square with a diagonal fold line, (III) the folded right triangle with a second fold line, (IV) the small folded triangle with a triangular notch at the top edge, a square notch at the left corner and a small slot on the right. Below: four unfolded squares labelled (A) to (D) showing different arrangements of notches, squares, diamonds and L-shaped cuts.
Tap the figure to enlarge

Try it: multiple choice: exactly one correct option

Select one option
Wrong answer costs 2/3 mark in GATE.
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Answer: A (official GATE 2025 final answer key)

Concept used: Paper folding: each cut is mirrored across every fold line when the paper is opened.

First step: Unfold one step at a time: first reflect the cuts across the second fold, then reflect the result across the diagonal.

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Source: official GATE 2025 Session 1 CS question paper and final answer key, organised by IIT Roorkee. Question paper · Answer key

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