Computer Sciences > GATE 2026 SET-2 > Spatial Aptitude
Two tiles are missing in Panel I. Which one of the options in Panel II is the appropriate choice for the missing tiles?
A
i
B
ii
C
iii
D
iv

Correct : a

To solve this visual logic puzzle, we need to carefully count the number of white (hollow) dots inside each of the 3x3 tiles in Panel I.

Let''s map out the number of white dots for each known tile in the grid:
Row 1: 1, 8, 3
Row 2: 6, 4, ?
Row 3: 5, 0, ?

If we calculate the sum of the white dots in each complete row and column, a hidden pattern emerges:
- Sum of Row 1: 1 + 8 + 3 = 12
- Sum of Column 1: 1 + 6 + 5 = 12
- Sum of Column 2: 8 + 4 + 0 = 12
- Sum of Anti-Diagonal: 3 + 4 + 5 = 12

The entire grid forms a mathematical Magic Square where the number of white dots in every row, column, and diagonal must sum up to exactly 12.

Now, we can easily solve for the missing tiles in the third column:
- Top Missing Tile (Row 2, Col 3): 12 - (6 + 4) = 2 white dots.
- Bottom Missing Tile (Row 3, Col 3): 12 - (5 + 0) = 7 white dots.

Let''s evaluate the options in Panel II by counting their white dots:
- Option (i): The top tile has exactly 2 white dots. The bottom tile has exactly 7 white dots. (This matches our calculation perfectly!)
- Option (ii): The top tile has 3 white dots. The bottom tile has 7 white dots. ✗
- Option (iii): The top tile has 2 white dots. The bottom tile has 6 white dots. ✗
- Option (iv): The top tile has 3 white dots. The bottom tile has 6 white dots. ✗

Therefore, Option (i) is the correct choice to complete the puzzle.

Correct Answer: A (i) ✓

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