J
Correct option is A)
Clearly, the only three letter word is NET. So, its code is abi. The only four-letter word is CRUX. So, its code is cjmv. The two five-letter words are SOUND and CRONY and codes are ikmop and ijktv. Clearly, CRONY has two common letters C and R with CRUX and the letters j and v in the code for CRUX are common with the code ijktv. So, the code for CRONY is ijktv and that for SOUND is ikmop. The only six-letter word is CROWDY. So, its code is jkgotv. The only seven-letter word is ADDRESS. So, its code is blooppv. So, rearranging the words and their codes, we have:
NET abi
CRUX cjmv
CRONY ijktv
SOUND ikmop
CROWDY jkgotv
ADDRESS blooppv
In NET and CRONY, the common code letter is i and the common letter is N. So, i stands for N.
In NET and ADDRESS, the common code letter is b and the common letter is E. So, b stands for E. Thus, in NET, the remaining code letter a stands for T.
In CRUX and ADDRESS, the common code letter is v and the common letter is R. So, v stands for R.
In CRUX and CRONY, the common code letter v stands for R. So, the other common code letter j stands for C.
In CRUX and SOUND, the common code letter is m and the common letter is U. So, m stands for U.
Thus, in CRUX, the remaining code letter c stands for X.
In CRONY and SOUND, the common code letter i stands for N. So, the other common code k stands for O.
Thus, in CRONY, the remaining code letter t stands for Y.
In SOUND and CROWDY, the common code letter k means for O. So, the other common code letter o stands for D.
Thus, in SOUND, the remaining code letter p stands for S.
In CROWDY, the remaining code letter g stands for W.
In ADDRESS, the remaining code letter I stands for A.
Thus the information can be summarized as follows:
Code i b a v j m c k t o g p l
Letter N E T R C U X O Y D W S A
Clearly, the code letter for C is j.