The GATE Grind

GATE 2024 CS (CS2) – Question 10

General Aptitude · Analytical Aptitude: Logical Reasoning and Deduction · 2 marks · Multiple choice

In the 4 × 4 array shown below, each cell of the first three rows has either a cross (X) or a number. Row 1: 1, X, 4, 3; Row 2: X, 5, 5, 4; Row 3: 3, X, 6, X; Row 4 is empty. 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

Diagram for GATE 2024 CS (CS2) question 10
  1. 11
  2. 10
  3. 12
  4. 9

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: (A) 11

Explanation

Row 4 cells have no crosses; each counts neighbours without crosses. Cell(4,1): neighbours (3,1),(3,2)X,(4,2) = 2; cell(4,2): (3,1),(3,2)X,(3,3),(4,1),(4,3) = 4; cell(4,3): (3,2)X,(3,3),(3,4)X,(4,2),(4,4) = 3; cell(4,4): (3,3),(3,4)X,(4,3) = 2. Sum = 11.