The four pieces of a puzzle are shown in the figure below. Which one of the…

2026

The four pieces of a puzzle are shown in the figure below.

Four source puzzle pieces from GATE 2026 Q.3.

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?

Four source candidate assembled figures labelled P, Q, R, and S from GATE 2026 Q.3.

Answer: A. PWhen the four black pieces are fitted into a square, the white notches in the pieces must combine to form the white figure. The two semicircular cutouts (one…

  1. A.

    P

  2. B.

    Q

  3. C.

    R

  4. D.

    S

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Show answer & explanation

Correct answer: A

When the four black pieces are fitted into a square, the white notches in the pieces must combine to form the white figure. The two semicircular cutouts (one on the left piece and one on the top piece) must join edge-to-edge to produce the complete circular head. The triangular cutouts must form the long pointed beak and the small indentation on the body, and the 45° slanted edges of the pieces must produce the slanted sides of the body. Checking the candidates: the head must be a full circle (not a crescent), the beak must be the long thin triangle, and the body must be a diamond whose sides match the slanted piece edges, with the small notch on its upper-right side. Only figure P satisfies all of these conditions simultaneously, so P is the figure that can be constructed from the four pieces without overlaps.

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