The correct option is C z g v m
In statements (v) and (vi), we have common alphabet 'A' and common code letter is 'g'.
In statements (iii) and (viii), we have common alphabet 'E' and common code letter is 'm'.
In statements (ii) and (vi), we have common alphabet 'BA' and common code letter are 'dg' respectively.
Therefore, from statement (ii), the code letter for 'D' is 'z'. Similarly, from statement (vi), the code letter for 'T' is 'v'.
So, code for 'DATE' is 'zgvm'.
Hence, option (C) is the correct answer.