GATE CS 2026 Set 2 — Question 2
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General Aptitude → Spatial Aptitude → Paper Folding, Cutting & Patterns
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Question
A black square PQRS has been cut into two parts. One part of it is shown in Panel I. Which one of the shapes in Panel II is the other part?
Correct answer
(C) (iii)
Solution
Draw the square of Panel I on a grid of equal cells. The outer frame (top row, bottom row and left column) is black, and the black part also has a block hanging from the top, a bar sticking out from the left side, and a step-shaped block in the lower right. The other part of the square is the white region inside the frame. Reading it row by row (columns 2 to 6, top to bottom, rows 2 to 5), the white cells are:
- row 2: column 2, and columns 5–6 (this white run reaches the right edge just below )
- row 3: columns 2–5
- row 4: column 4 only
- row 5: columns 2–4
- (i) and (ii): the stem leads into a wide symmetric base (an "I"-like bottom), not a three-cell base on the left. These do not match.
- (iii): top row cells at positions 1, 4, 5; then a bar over positions 1–4; a stem at position 3; and a base over positions 1–3. This is exactly the white region, in the same orientation.
- (iv): the lower part is a thicker step toward the right, which does not match the one-cell stem and left-aligned base.
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