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:
\includegraphics[width=0.5\linewidth]{q9 CE.PNG}
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:
\includegraphics[width=0.5\linewidth]{q9 CE.PNG}
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For grid-based logic problems, analyze the rule carefully and test configurations systematically to ensure all constraints are satisfied.
Updated On: Jan 24, 2025
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The Correct Option is C
Solution and Explanation
Step 1: Analyze the rule.
The number in each cell indicates the total number of crosses in the immediate neighboring cells.
Step 2: Calculate the maximum crosses for the empty column.
Based on the given rule, place crosses such that the total count around each cell matches the numbers. Using logical deductions and adjacency constraints, the maximum possible number of crosses in the empty column is \( 2 \).
Step 3: Conclusion.
The maximum number of crosses in the empty column is \( 2 \).
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