GATE 2026 AR — Architecture – Question 3
The four pieces of a puzzle are shown in the figure below.
Which one of the figures labelled as P, Q, R, and S can be constructed by using each of the four pieces only once without overlaps?
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Correct answer: (A) P
Explanation
Use the long straight edge of each piece as one side of the outer square, with the irregular edges facing inward. The pieces shown above the options already have their long edges directed left, top, right and bottom, respectively.
Translate them into those four positions without overlaps. The two circular cutouts meet to make the rounded head of the central opening. The pointed notch from the right-hand piece produces the opening's right-facing beak, and the lower notches form its slanting body. These features give **P, A**.
Q lacks the long beak, R changes the lower body outline, and S changes the rounded head. Comparing the actual joined edges establishes the match; approximate counts of black pixels are not a geometric proof.
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