Step-by-Step Solution:
The matrix operates on a row-by-row mathematical pattern based on the total number of small squares within each cell.
1. Analyze Row 1 (Solid Black Squares):
- Box 1: 4 squares
- Box 2: 3 squares
- Box 3: 2 squares
- Total for Row 1: 4+3+2=9 squares
2. Analyze Row 3 (Empty/Outline Squares):
Let's look at the third row to confirm the target constant:
- Box 1: 3 squares
- Box 2: 2 squares
- Box 3: 4 squares
- Total for Row 3: 3+2+4=9 squares
3. Apply the Pattern to Row 2 (Lined/Shaded Squares):
Since the total number of small squares in every horizontal row must equal 9:
- Box 1: 2 squares
- Box 2: 4 squares
- Box 3 (?): Must contain X squares
2+4+X=9
6+X=9⟹X=3 squares
Looking closely at the options for a box with exactly 3 lined squares, Option 1 matches this requirement perfectly.




