Question

In the 4 x 4 array shown below, each cell of the first three columns has either a cross (X) or a number, as per the given rule. Rule: The number in a cell represents the count of crosses around its immediate neighboring cells (left, right, top, bottom, diagonals). As per this rule, the maximum number of crosses possible in the empty column is:
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• A. 0
• B. 1
• C. 2
• D. 3

Hint:

For grid-based logic problems, analyze the rule carefully and test configurations systematically to ensure all constraints are satisfied.

Answer 1

The Correct Option is C

The rule specifies that the number in each cell indicates the count of crosses (X) in its immediate neighbors. To solve this:
1. Identify the cells with numbers in the first three columns:
The numbers guide the arrangement of crosses around each cell to satisfy the count. Each number limits the placement of X in its neighboring cells.
2. Determine the empty column's capacity for crosses:
- Check the fourth column for constraints imposed by neighboring numbers in the third column.
- Ensure the placement of crosses in the fourth column does not violate the numbers in the third column. 3. Calculate the maximum number of crosses in the fourth column:
By observing the constraints and ensuring no violations, it is possible to place 2 crosses in the empty column.
Thus, the maximum number of crosses in the empty column is 2.