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In the 4 × 4 array shown below, each cell of the first three columns has either a cross (X) or a number, as per the given rule. 1 1 2 2 X 3 2 X 4 1 2 X Rule: The number in a cell represents the count of crosses around its immediate neighboring cells (left, right, top, bottom, and diagonals). As per this rule, the maximum number of crosses possible in the empty column is
- 0
- 1
- 2
- 3
Correct answer: 2
Solution
Each number specifies how many crosses must be in the surrounding 8-neighborhood. By testing the constraints row by row, the fourth column cannot have 3 crosses without violating at least one numbered cell. The maximum arrangement consistent with all counts allows 2 crosses.
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