The answer is BL , B is the antepunultimate letter of October and L is the ultimate letter of April.
Then Next two letters would be: UE; U is the antepenultimate letter of August and E is the antepenultimate letter of September.
The whole answer : BLUE -- the fifth color in the rainbow.
An easier method (By shahidt)
In questions like these simply count the number of letters the question is telling you to add up. The answer to the question is a Four letter word, and in the given choices there should have been a four letter word (or a clue to it). It's that simple :-)