BCAD : FGEH :: ? : NOMP

The correct answer is Option (1) → JKIL

Each letter of the second group is the letter four places after the matching letter of the first group:

B + 4 = F, C + 4 = G, A + 4 = E, D + 4 = H

So each letter of the missing group is four places before the matching letter of NOMP:

N − 4 = J, O − 4 = K, M − 4 = I, P − 4 = L, giving JKIL