In the question below is given a group of letters followed by four combinations of numbers numbered (A), (B), (C) and (D). You have to find out which of the combinations correctly represents the group of letters based on the following coding system and conditions that follow and mark the number of that combination as your answer. If none of the combinations correctly represents the group of letters, mark (E) i.e. 'None of these' as your answer.

Letters	$\mathrm{A}$	$\mathrm{B}$	$\mathrm{C}$	$\mathrm{D}$	$\mathrm{E}$	$\mathrm{F}$	$\mathrm{G}$	$\mathrm{H}$	$\mathrm{I}$	$\mathrm{J}$	$\mathrm{K}$	$\mathrm{L}$	$\mathrm{M}$
Numbers	$1$	$2$	$3$	$4$	$5$	$6$	$7$	$8$	$9$	$10$	$11$	$12$	$13$

Conditions:
(I) If the first and last letter's place values according to English alphabetical order has the difference of $1$ then both are to be coded by the code of $\mathrm{G}$.
(II) If the first letter is a vowel and the last letter is a consonant then the code of both are to be interchanged.
(III) If the fourth letter's place value is multiple of $3$ then the second letter is to be coded by the code of six-letter.

What is the code of $\mathrm{EFGMJA}$?