A certain musical scale consists of exactly six notes: F, G, H, I, J and K. The notes are arranged from the lowest (the first note of the scale) to the highest (the sixth note of the scale). Each note appears once and only once in the scale, and the intervals between the notes are all equal.
i) J is lower than K.
ii) G is higher than F.
I is somewhere between F and G.
H is the highest note of scale.
If J is the second note, then G and I could be which of the following respectively ?
I. 4 and 3
II. 5 and 3
III. 5 and 4

Options

A. I only
B. III only
C. II and III only
D. I, II and III

Answer

D

Explanation

Begin by summarising the information:
`JltK`
`FltG` (G is higher than F `implies` F is lower than G.)
F-I-G or G-I-F
H=6
There is one further conclusion you should probably note. Since G is higher than F, and since I is between F and G, the order for those three notes is : `FltIltG`
Enter the new information :

If J is second, then K must be either third, fourth or fifth:

For G to be higher than I and I higher F, they must be entered as follows :

There are three possibilities. G and I are 4 and 3, or 5 and 3, or 5 and 4. Thus , I, II and III are all possible.