GATE DA 2024 Set 1 — Question 9

MCQ+2 / -0.67MediumPaper Folding, Cutting & PatternsSpatial AptitudeGeneral Aptitude2D & 3D Patterns

General Aptitude → Spatial Aptitude → 2D & 3D Patterns

Last updated 5 September 2026

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

Correct answer (A) [figure] Solution From the three views of the dice, we can identify adjacent faces: From View 1: 5 is adjacent to 4 and 1. From View 2: 4 is adjacent to 6 and 3. From View 3: 6 is adjacent to 2 and 5. Combining these, we find the neighbors of each face: Neighbors of 6: {4, 3, 2, 5}. Therefore, 6 is opposite to 1. Neighbors of 5: {4, 1, 2, 6}. Therefore, 5 is opposite to 3. Remaining pair: 4 is opposite to 2. Now, check the nets in the options for these opposite pairs: In Net (A): 4 and 2 are separated by 6 (opposite), 1 and 6 are separated by 4 (opposite), and 5 and 3 are separated by the central column (opposite). This matches our findings. In Net (B): 4 and 2 are adjacent (wrong). In Net (C): 5 and 3 are adjacent (wrong). In Net (D): 4 and 2 are adjacent (wrong). Thus, option (A) is the correct net. Turn this into a strength. Explore AI-powered practice and doubt support with Success Tracker.

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Correct answer (A) [figure] Solution From the three views of the dice, we can identify adjacent faces: From View 1: 5 is adjacent to 4 and 1. From View 2: 4 is adjacent to 6 and 3. From View 3: 6 is adjacent to 2 and 5. Combining these, we find the neighbors of each face: Neighbors of 6: {4, 3, 2, 5}. Therefore, 6 is opposite to 1. Neighbors of 5: {4, 1, 2, 6}. Therefore, 5 is opposite to 3. Remaining pair: 4 is opposite to 2. Now, check the nets in the options for these opposite pairs: In Net (A): 4 and 2 are separated by 6 (opposite), 1 and 6 are separated by 4 (opposite), and 5 and 3 are separated by the central column (opposite). This matches our findings. In Net (B): 4 and 2 are adjacent (wrong). In Net (C): 5 and 3 are adjacent (wrong). In Net (D): 4 and 2 are adjacent (wrong). Thus, option (A) is the correct net.

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