GATE CS 2021 Set 2 — Question 7
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General Aptitude → Spatial Aptitude → Transformation of Shapes (Translation, Rotation, Scaling, Mirroring)
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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.
Correct answer
(A) [figure]
Solution
The given piece has a right edge with a specific pattern of indentations (notches) and protrusions (tabs). Observing from top to bottom, the pattern is: Notch, Tab, Notch, Tab.To form a solid rectangle when assembled, the missing piece must have a complementary edge (left edge) that fits perfectly into this pattern. The complementary pattern required is: Tab, Notch, Tab, Notch.
- Option (A): The left edge has the pattern: Tab, Notch, Tab, Notch. This matches perfectly.
- Option (B): The left edge starts with a Notch. Incorrect.
- Option (C): The pattern does not alternate correctly to match.
- Option (D): The left edge starts with a Notch. Incorrect.
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