Which among the following statement(s) is/are true?
I. A sits adjacent to D
II. C doesn’t sit at the shorter side
III. B faces F

Study the following information carefully and answer the questions given below:

Eight persons- A, B, C, D, E, F, G and H sit around a rectangular table in such a way that four of them are sitting at the corners and facing the centre while four of them are sitting in the middle of the sides and facing away from the centre but not necessarily in the same order.

F sits at one of the corners of the table and sits second to the left of H. E sits to the immediate right of H. Only two persons sit between E and D. C sits third to the right of D. Only three persons sit between C and G. G sits adjacent to B. A doesn’t sit at the shorter side of the table.

To determine the correct statements, we can step-by-step construct the seating arrangement of the eight persons (A, B, C, D, E, F, G, and H) around the rectangular table.

Let the 8 positions around the rectangular table be numbered 1 to 8 in a clockwise direction, alternating between corners and the middle of the sides:
- Positions 1, 3, 5, and 7 are the corners (facing the centre).
- Positions 2, 4, 6, and 8 are the middle of the sides (facing away from the centre).

Let's place the persons based on the clues:
1. F sits at one of the corners: Let us place F at position 1 (Corner).
2. F sits second to the left of H: Since F is at a corner (position 1), H must also be at a corner. Since corners face the centre, left is counter-clockwise. Thus, H is at position 3 (Corner).
3. E sits to the immediate right of H: Since H is at position 3 facing the centre, immediate right is clockwise, which is position 4 (Middle). So, E is at position 4.
4. Only two persons sit between E and D: Counting three positions from E (position 4) gives either position 1 (occupied by F) or position 7. Thus, D sits at position 7 (Corner).
5. C sits third to the right of D: D is at position 7 facing the centre. Right is clockwise, so counting three positions clockwise (7 → 8 → 1 → 2) puts C at position 2 (Middle).
6. Only three persons sit between C and G: Since there are 8 positions, sitting opposite means having three persons in between. C is at position 2, so G must be at position 6 (Middle).
7. G sits adjacent to B: G is at position 6. The adjacent positions are 5 and 7. Since D is already at position 7, B must be at position 5 (Corner).
8. A is the remaining person: The only unoccupied position is position 8 (Middle). Thus, A sits at position 8.

Now, let's identify the sides of the rectangular table:
- We are given that A doesn't sit at the shorter side of the table. Since A is at position 8 (Middle), position 8 must be on a longer side. Consequently, the opposite side (position 4, where E sits) is also a longer side. This means positions 2 (where C sits) and 6 (where G sits) are on the shorter sides.

Let's evaluate the given statements:
- I. A sits adjacent to D: A is at position 8 and D is at position 7. They sit adjacent to each other. (True)
- II. C doesn’t sit at the shorter side: C is at position 2, which is on the shorter side of the table. (False)
- III. B faces F: B is at position 5 and F is at position 1. Since both are at diagonally opposite corners and face the centre, they face each other. (True)

Therefore, both statements I and III are true.