In the \(4 \times 4\) array shown below, each cell of the first three rows has either a cross (X) or a number.
| 1 | X | 4 | 3 |
| X | 5 | 5 | 4 |
| 3 | X | 6 | X |
The number in a cell represents the count of the immediate neighboring cells (left, right, top, bottom, diagonals) NOT having a cross (X). Given that the last row has no crosses (X), the sum of the four numbers to be filled in the last row is
Answer
(A)
Explanation
The last row has no crosses, so each of its cells counts the cells beside it in row 4 plus the non-cross cells above it in row 3, which reads 3, X, 6, X.
- Cell 1: 3 and X above, one cell beside, so 2.
- Cell 2: 3, X and 6 above, two cells beside, so 4.
- Cell 3: X, 6 and X above, two cells beside, so 3.
- Cell 4: 6 and X above, one cell beside, so 2.
Sum \(= 2 + 4 + 3 + 2 = 11\). The printed numbers follow the same rule; for example, the 3 in row 3 counts the 5 diagonally above it and the two cells below it.
Answer: A