The correct option is D vtax
In statement (iv), (v), (vi) and (viii), the common alphabet is 'S' and the common coded word is 'a'. So, 'S' is coded as 'a'.
In statement (iii) and (x), the common alphabet is 'L' and the common coded letter is 'x'. So, 'L' is coded as 'x'.
In statement (i), (ii), (vii), (x) and (xi), the common alphabet is 'E' and the common coded letter is 't'. So, 'E' is coded as 't'.
In statement (i), (vi) and (xi), the common alphabet is 'P' and the common coded letter is 'g'. So, 'P' is coded as 'g'.
Again, in statement (i) and (vi), 'OP' and the common coded letter are 'vg' respectively. So, 'O' is coded as 'v'.
Therefore, 'SOLE' is coded as 'avxt' or 'vtax'.
Hence, option (D) is the correct answer.