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GATE CSE 2021 Set 2 Q7: Missing jigsaw piece that completes a rectangle

Question

A jigsaw puzzle has 2 pieces. One of the pieces is shown above. Which one of the given options for the missing piece when assembled will form a rectangle? The piece can be moved, rotated or flipped to assemble with the above piece.

The given piece (top) and the options (A)–(D) are shown in the figure.

Top: a tall jigsaw piece with a straight right edge and a left edge made of several rectangular prongs of different lengths. Bottom: four candidate pieces labelled (A) to (D), each a rectangle base with rectangular prongs and notches of different shapes along its top edge
Tap the figure to enlarge

Try it: multiple choice: exactly one correct option

Select one option
Wrong answer costs 2/3 mark in GATE.
Show answer and explanation

Answer: A (official GATE 2021 final answer key)

Concept used: Spatial reasoning: the two edges must be exact complements of each other after a rotation.

First step: Rotate the given piece by 90° so its prongs point down, then match each prong to a notch of the same width and depth, including the hooked (L-shaped) prong.

Full step-by-step solution

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Source: official GATE 2021 Set 2 CS question paper and final answer key, organised by IIT Bombay. Question paper · Answer key