Identify the figure given in the options which when put in place of ‘?’ will logically complete the series.

The correct figure that completes the series is the first option:


Step-by-Step Explanation:
By analyzing the sequence of figures from left to right, we can observe two distinct rules governing the number, position, and shading of the triangles around the central circle:

1. Incremental Addition of Triangles in a Clockwise Direction:
• Figure 1: Contains 1 white triangle placed at the top (12 o'clock position).
• Figure 2: Contains 2 triangles — 1 black triangle is added clockwise at the top-right position (~2 o'clock).
• Figure 3: Contains 3 triangles — 1 white triangle is added further clockwise at the bottom-right position (~5 o'clock).
• Figure 4: Contains 4 triangles — 1 black triangle is added further clockwise at the bottom-left position (~7 o'clock).
• Figure 5 ('?'): Following the same clockwise pattern, a 5th triangle must be added at the remaining top-left position (~10 o'clock) around the central circle.

2. Alternating Shading Pattern:
• The newly added triangles alternate in shading: White, Black, White, Black, White...
• Position 1 (Top): White
• Position 2 (Top-Right): Black
• Position 3 (Bottom-Right): White
• Position 4 (Bottom-Left): Black
• Therefore, the 5th triangle added at the top-left position must be White.

Combining these features, the missing figure must have 5 triangles attached to the central circle (3 white triangles at top, bottom-right, and top-left; 2 black triangles at top-right and bottom-left). This matches the figure shown in the first option.