Correct option is C
Given: BED : EGE :: LEG : ?

Logic: 1st letter + 3, 2nd letter + 2 and 3rd letter + 1 place.
For, BED : EGE
B + 3 = E, E + 2 = G, D + 1 = E
Similarly,
LEG : ?
L + 3 = O, E + 2 = G, G + 1 = H
So, LEG : OGH
Thus, correct option is (c).