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GATE DA 2024 Q9: Which paper net folds into the given dice

Question

Three different views of a dice are shown in the figure below. The piece of paper that can be folded to make this dice is

Three views of a dice (top 5 with faces 4 and 1; top 4 with faces 6 and 3; top 2 with faces 6 and 5) and four paper nets labelled A to D
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Answer: A (official GATE 2024 final answer key)

Concept used: Cube nets: faces in the same strip, one apart, are opposite; faces shown together on a dice cannot be opposite.

First step: 5 is seen next to 4, 1, 6 and 2, so 5 is opposite 3; 4 is seen next to 5, 1, 6 and 3, so 4 is opposite 2; that leaves 1 opposite 6. Keep the net with exactly these opposite pairs.

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Source: official GATE 2024 DA question paper and final answer key, organised by IISc Bangalore. Question paper · Answer key

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