Question

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Explanation:

Step1: Analyze the blue - boxed cell

In the row of the blue - boxed cell, the numbers \(7,4,6,3,9,2,8\) are already present. In the column of the blue - boxed cell, the numbers \(2,5,8,1,9,3,7,6\) are already present. In the \(3\times3\) sub - grid (upper - middle sub - grid), the numbers \(7,4,6,3,9,2,8\) are already there. The missing number in this row, column and sub - grid is \(1\).

Step2: Analyze the green - boxed cell

In the row of the green - boxed cell, the numbers \(5,3,9,7\) are already present. In the column of the green - boxed cell, the numbers \(8,9,4,3,6,7,2\) are already present. In the \(3\times3\) sub - grid (left - middle sub - grid), the numbers \(5,3,9,7\) are already there. The missing number in this row, column and sub - grid is \(2\).

Step3: Analyze the yellow - boxed cell

In the row of the yellow - boxed cell, the numbers \(4,6,7,8,3,9\) are already present. In the column of the yellow - boxed cell, the numbers \(3,4,6,8,9\) are already present. In the \(3\times3\) sub - grid (lower - left sub - grid), the numbers \(4,6,7,8,3,9\) are already there. The missing number in this row, column and sub - grid is \(5\).

Step4: Analyze the purple - boxed cell

In the row of the purple - boxed cell, the numbers \(5,3,9,7\) are already present. In the column of the purple - boxed cell, the numbers \(2,4,6,3,9\) are already present. In the \(3\times3\) sub - grid (right - middle sub - grid), the numbers \(5,3,9,7\) are already there. The missing number in this row, column and sub - grid is \(1\).

Step5: Analyze the red - boxed cell

In the row of the red - boxed cell, the numbers \(1,9,6,5\) are already present. In the column of the red - boxed cell, the numbers \(8,2,7,6\) are already present. In the \(3\times3\) sub - grid (lower - right sub - grid), the numbers \(1,9,6,5\) are already there. The missing number in this row, column and sub - grid is \(4\).

Answer:

Blue - boxed cell: \(1\); Green - boxed cell: \(2\); Yellow - boxed cell: \(5\); Purple - boxed cell: \(1\); Red - boxed cell: \(4\)