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GATE DA 2026 Q3: Which figure can be built from four puzzle pieces

Question

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?

Four black puzzle pieces at the top, and four black squares with white cut-out shapes labelled P, Q, R and S
Tap the figure to enlarge

Try it: multiple choice: exactly one correct option

Select one option
Wrong answer costs 1/3 mark in GATE.
Show answer and explanation

Answer: A (official GATE 2026 final answer key)

Concept used: Spatial reasoning: the pieces must fill the black square exactly, leaving the white shape uncovered.

First step: Match each piece's notch (half-circle, spike, steps) to the edges of the white shape; only one figure has a gap for every piece.

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Source: official GATE 2026 DA question paper and final answer key, organised by IIT Guwahati. Question paper · Answer key

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