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Spatial Aptitude

GATE CSE 2025 Set 1 · Q9

MCQ2 marksMedium

Time

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.

GATE CSE 2025 Set 1 Q9 diagram

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Solution

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Official answer: A)

Spatial Aptitude

To determine the pattern obtained after unfolding, we trace the reverse of the folding process:

  1. First fold (Figure II): The square is folded diagonally along the top-left to bottom-right line, resulting in the upper-right right-angled triangle.

  2. Second fold (Figure III): The resulting triangle is folded along its altitude from the right angle to the hypotenuse, forming the smaller isosceles triangle shown in Figure (IV).

  3. Cuts (Figure IV): Triangular notches are cut along the outer edges of this folded triangle.

  4. Unfolding (Figure IV →\rightarrow III →\rightarrow II →\rightarrow I):

    • Reflecting the cuts across the fold line of step (III) and then across the diagonal line of step (II) produces symmetric cutouts along all four outer edges (inward-pointing triangles at the midpoints of top, bottom, left, and right edges).

    • The internal cutouts reflect symmetrically across the diagonal axis of symmetry (top-left to bottom-right).

    • This corresponds precisely to the configuration in Option (A).

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This Spatial Aptitude previous year question is Q9 of the GATE CSE 2025 Set 1 paper. Find more GATE CSE PYQs on Spatial Aptitude in General Aptitude, or browse all GATE CSE PYQs.

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Spatial Aptitude in GATE CSE

Spatial Aptitude has 16 GATE CSE PYQs across 9 papers from 2017 to 2026. 10 of them are 2-mark MCQs like this one, and GATE CSE 2025 Set 1 has 2.

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GateAI solution cardGATE CSE 2025 Set 1 · Q9 · MCQ

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.

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Independent practice explanation verified by the GateAI team. GATE is conducted by the IITs; question text follows the official paper.