Explanation

Step-by-step process:

1. Base layer:
   The bottom-most layer consists of a $3\times 3$ grid of cubes, totaling $3\times 3=9$ cubes.

2. Middle layer:
   The middle layer consists of a$2\times 2$ grid of cubes, totaling $2\times 2=4$ cubes.

3. Top layer:
   The top-most layer consists of a single cube, totaling $1$ cubes.

   Total cubes:

   Adding the cubes from all layers:

   $$9 + 4 + 1 = 14$$

Explanation

Analyzing the options:

• Option 1: Does not align with the rotation or symmetry of the existing pattern.
• Option 2 (B): Matches the required orientation and completes the symmetry of the figure.
• Option 3: Misaligned; does not fit the overall flow of the pattern.
• Option 4: Incorrect orientation for completing the symmetry.

Explanation:

Option B (2) completes the figure logically, ensuring both rotational and reflective symmetry.

Explanation

Observing the pattern:

• The figure (X) consists of intersecting lines that form geometric patterns.
• Each quadrant contributes to the overall symmetry of the figure.

Explanation:

• The correct choice should ensure that the lines align with the existing quadrants to maintain overall symmetry and continuity.
• Option C correctly aligns with the pattern and completes the design logically.

Explanation

Observing the pattern:

1. The figure (X) is divided into four quadrants, with curved and intersecting lines.
2. The blank space in the bottom-left quadrant must logically align with the existing shapes and intersections in the other quadrants.

Analyzing the options:

• Option 1: The lines do not align with the surrounding quadrants.
• Option 2: Similar misalignment as Option 1.
• Option 3 (C): The curved lines properly align and complete the flow of the pattern from adjacent quadrants.
• Option 4: The lines do not fit the pattern or orientation of the other sections.

Conclusion:

Option C fits the pattern and completes the figure logically.

Answer: C (Option 3)

Explanation

Observing the pattern:

1. The top row consists of two symbols, each divided into three segments, with different filled segments (shaded or unshaded).
2. The bottom row shows a continuation of this pattern.

Analyzing the options:

• Each figure in the alternatives has a similar three-segment design with varying shaded parts.

  The goal is to identify the figure that logically continues the pattern.

• Option 3 (C) aligns with the rotation and shading sequence of the previous figures in the row and column.

Conclusion:

The correct answer is indeed Option C, as it completes the pattern logically.