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ExamsGATEGeneral Aptitude

In the 4 × 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

  1. 11
  2. 10
  3. 12
  4. 9

Correct answer: 11

Solution

Using the cross positions that make every given number consistent, the four last-row cells have non-cross neighbor counts 2, 4, 3, 2 (left to right). Their sum is 11, not 9, so the answer is 11.

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