Math  /  Discrete

QuestionName: \qquad \qquad 13. (1 point) Which number should go in the grey square in this Sudoku puzzle? \begin{tabular}{|l|l|l|l|l|l|l|l|l|} \hline 1 & & 5 & & 3 & & 2 & 6 & \\ \hline 7 & & 3 & & & 8 & & 4 & \\ \hline & & & 9 & & & & & \\ \hline & 1 & & & & & & & 2 \\ \hline & & 7 & 5 & & 6 & 8 & & \\ \hline 4 & & & & & & & 9 & \\ \hline & & & & & 3 & & & \\ \hline & 4 & & 2 & & & 7 & & 1 \\ \hline \end{tabular}

Studdy Solution

STEP 1

1. The Sudoku puzzle rules apply: each number 1-9 must appear exactly once in each row, column, and 3x3 subgrid.
2. The grey square is located in the first row, second column of the Sudoku grid.

STEP 2

1. Identify the numbers already present in the first row.
2. Identify the numbers already present in the first column.
3. Identify the numbers already present in the 3x3 subgrid containing the grey square.
4. Determine the missing number for the grey square based on the Sudoku rules.

STEP 3

Examine the first row of the Sudoku grid. The numbers present are: 1, 5, 3, 2, 6.

STEP 4

Examine the first column of the Sudoku grid. The numbers present are: 1, 7, 4.

STEP 5

Identify the 3x3 subgrid containing the grey square. This subgrid includes the following numbers: 1, 5, 3, 7, 9.

STEP 6

Determine the missing number for the grey square. The numbers 1-9 must appear exactly once in each row, column, and subgrid. From the numbers identified in Steps 1, 2, and 3, the missing number is 8.
The number that should go in the grey square is:
8 \boxed{8}

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