The adjacent figure has six compartments. Each compartment consists of six squares. These squares are to be filled with six different colours in such a way that each row, each column and each compartment should have all six colours. Which of the options will replace the question marks?
The problem is to fill a 6x6 grid so that each row, each column, and each 2x3 compartment contains all six different colors. This logical puzzle is similar to a Sudoku with colors, often known as a Latin square problem where each color must appear exactly once in each row, column, and compartment. Let's analyze the provided options to determine which one correctly completes the grid according to these rules. We have the following rules to check:
Each row must contain each of the six colors exactly once.
Each column must contain each of the six colors exactly once.
Each 2x3 compartment must contain each of the six colors exactly once.
Given these rules, analyze each option to ensure compliance:
Ensure no row repeats a color.
Ensure no column repeats a color.
Ensure no compartment repeats a color.
Upon examining the options, we find:
By following each rule:
Row
Column
Compartment
✓
✓
✓
Only Option 3 satisfies these conditions:
Thus, Option 3 correctly replaces the question marks, ensuring each row, column, and compartment contains each color. This is a clear demonstration of visual and logical reasoning applied to complete the color grid accurately. Well-structured analysis reveals Option 3 as the sole candidate meeting all requirements.
