The answer for number 2 is B.
There are 9 sets of 3x3 squares with elements O, X and A( Dark Triangle).
Rule 1:
To get the second 3x3 square from the first (moving horizontally), translate each element one place to the right and interchange the symbols. At the end of the first and second rows, put the succeeding symbol unto the next row. At the end of the 3rd row place the succeeding element in the empty space at the beginning of the first row.
The First 3x3 square becomes:
1)
O X A
O A O
A X X
The diagonal AAA implies that A=X, comparing this to the second 3x3 square in the row also indicates the other transformations that O=A and X=O.
The above 3x3 square then becomes:
2)
A O X
A X A
X O O
Following the same sequence of steps 2) becomes:
O A O
X A X
A X O
Using the transformations produces:
3)
A X A
O X O
X O A
Rule 2:
The above rules do not apply when you want to create the subsequent 3x3 square from one at the end of a row. However, if you observe the elements in 3) and the elements in the first 3x3 square of the 2nd row, R2). The rows become columns in such a way that there is a 90 degrees clockwise rotation in moving from 3) to R2). Hence,this rotation rule also applies when moving from the end of R2) to the first 3x3 square in the 3rd row R3).
To achieve the missing 3x3 square apply rule 1:Thus the second square in R3) becomes:
O X X
O O X
A A A
Using the transformations:
A O O
A A O
X X X
Therefore, B is the correct answer.
