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.
Which of the following CANNOT be true of the scale ?

Options

A. G is the second note.
B. G is the third note.
C. I is somewhere between F and G.
D. H is the highest note of scale.

Answer

A

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`
Test each choice to learn which are possible and which are not. As for (1), G cannot be the second note on the scale because G must be higher than both F and I. You can grasp that the other choices are possible if you think in the following way. Imagine that FIG are consecutive notes (they may be, though they don.t have to be). If they are, then they could be 1, 2, and 3, or 2, 3 and 4: or even 3, 4, and 5. This will not affect the placement of J and K since in each of those arrangements there will be two spaces left on the scale and K can be higher than J.