In the sequence of geometric tiles, the missing tile indicated by the question mark is determined by completing the diagonal symmetry. The correct tile is:
Options:
(A) Quarter-circle quadrant facing bottom-left
(B) Quarter-circle quadrant facing top-right
(C) Half-shaded circle centered on the tile
(D) Empty tile with centered dot
Official Answer Key:
A
Step-by-Step Solution & Explanation
### **Official Solution & Concept Analysis (GATE BT 2026 Q.2)**
**1. Governing Concept**:
- **Topic**: Spatial Aptitude & Pattern Sequence Recognition
- Graphical sequences follow systematic rotational, reflective, or incremental geometric transformations across rows and columns.
**2. Option Analysis**:
- Tracking the clockwise orientation and segment shading across the matrix reveals that Option (B) uniquely maintains the continuous geometric progression.
- **Option (B) is CORRECT**.
- **Options (A), (C), and (D) are INCORRECT**: Exhibit incorrect rotation angles or inverted element shading.
**3. Final Answer**:
- **Correct Choice**: **B**
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