Two tiles are missing in Panel I. Which one of the options in Panel II is the…

Count the black dots in each tile. In Panel I, the first row has 8 + 1 + 6 = 15 black dots. The first column has 8 + 3 + 4 = 15 black dots, and the second column has 1 + 5 + 9 = 15 black dots. Therefore the same total of 15 must be maintained for every row and column.

For the second row, the upper missing tile must have 15 - (3 + 5) = 7 black dots. For the third row, the lower missing tile must have 15 - (4 + 9) = 2 black dots. Only option (i) gives a vertical pair with 7 black dots in the upper tile and 2 black dots in the lower tile. Hence option (i) is correct.