Question

The series shows grids: 1×1, 2×2, 3×3, 4×4... with diagonal shading rotating. What comes next?

• A. A
• B. B
• C. C
• D. D
• E. E

Hint:

Diagonal shading can rotate $90^\circ$ or $45^\circ$. If it's a square grid, $90^\circ$ turns move the shading from one side to the next.

Answer 1

Answer: (E)

Step 1: Analyse options.
- The grid size increases linearly in each step ($1 \times 1 \rightarrow 2 \times 2 \rightarrow 3 \times 3 \rightarrow 4 \times 4$). - Additionally, a shaded diagonal or element within these grids rotates or shifts position following a systematic rule. - The next figure must be a $5 \times 5$ grid (or the next size in the sequence) with the shading in the correctly rotated position.
Step 2: Conclusion.
Figure E satisfies the size increment and the rotational requirement. Final Answer: (e) E