A paper shown in Panel I is folded along the dashed lines (- - -) to construct a
cube. The shaded regions shown in Panel I appear on the outer surface of the cube.
Referring to cubes shown in Panel II, which one of the options is correct?
Options:
(A) Only (i) can correspond to the unfolded cube in Panel I.
(B) Only (ii) can correspond to the unfolded cube in Panel I.
(C) Both (i) and (ii) can correspond to the unfolded cube in Panel I.
(D) Neither (i) nor (ii) can correspond to the unfolded cube in Panel I.
Official Answer Key:
B
Step-by-Step Solution & Explanation
### **Official Solution & Concept Analysis (GATE BT 2026 Q.7)**
**1. Governing Concept**:
- **Topic**: Spatial Aptitude & Paper Folding / 3D Visualization
- Folding a 2D planar cutout along dashed creases into a closed 3D prism or polyhedron.
**2. Option Analysis**:
- Tracing edge adjacency and face connectivity demonstrates that folding Panel I yields the 3D structure shown in Option (B).
- **Option (B) is CORRECT**.
- **Options (A), (C), and (D) are INCORRECT**: Produce chirality inversion or mismatched adjacent face orientations.
**3. Final Answer**:
- **Correct Choice**: **B**
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