Eight persons — A, B, C, D, E, F, G and H were studying about different birds in different months of the same year, viz. January, March, May, June, July, October, November and December, but not necessarily in the same order. Each of them is studying about different birds — Kingfisher, Toucans, Penguin, Ostrich, Woodpecker, Loon, Sparrow and Peacock.

G is studying in the month having odd number of days. Either two persons were studying before G or after G. Two persons were studying between G and the one who is studying about loon. H was studying three persons after the person who is studying about ostrich and four months before A. Three persons were studying between A and the one who is studying about Woodpecker. B is studying about Sparrow two persons before F. F is studying before E. The one who is studying about Penguin is studying immediately after the one studying about Kingfisher. Two persons were studying between the ones studying about Kingfisher and Peacock. D is not the first one to study.

Which of the following statement is true?

To find the correct statement, let us systematically analyze the clues and build a schedule of the eight persons and the birds they study.

First, we list the months in chronological order along with the number of days in each:

1. January (31 days)
2. March (31 days)
3. May (31 days)
4. June (30 days)
5. July (31 days)
6. October (31 days)
7. November (30 days)
8. December (31 days)

Step 1: Determine the positions of G, H, and A
- Clue: G is studying in a month with an odd number of days (31 days), and either two persons study before G or two persons study after G. This means G is either in the 3rd position (May) or the 6th position (October).
- Clue: H was studying three persons after the person studying about ostrich (Ostrich is at position X, H is at position X + 3) and four months before A.
- Let's check the 4-month difference between H and A (Month of A - Month of H = 4):
- If H is in January (1st), A is in May (3rd). But Ostrich would have to be in position -2, which is impossible.
- If H is in June (4th), A is in October (6th). Since June is the 4th position, Ostrich must be in the 1st position (January). G cannot be in the 6th position (October) because A is there, so G must be in the 3rd position (May). This is a valid configuration.
- If H is in July (5th), A is in November (7th). This is analyzed and shown to be invalid when combined with subsequent clues.
Therefore, we place:
- Position 1 (January): Ostrich
- Position 3 (May): G
- Position 4 (June): H
- Position 6 (October): A

Step 2: Determine the positions of Loon, Woodpecker, and others
- Clue: Two persons were studying between G and the one studying about loon. Since G is at position 3, the person studying about loon must be at position 6 (which is A).
- Clue: Three persons were studying between A and the one studying about Woodpecker. Since A is at position 6, the person studying about Woodpecker must be at position 2 (March).
- Clue: B is studying about Sparrow two persons before F (B _ F). This means B is at position Y and F is at position Y + 2. The only remaining empty positions that fit this pattern are 5 and 7. Thus, B (Sparrow) is at position 5 (July), and F is at position 7 (November).
- Clue: F is studying before E. Since F is at position 7, E must be at position 8 (December).
- Clue: D is not the first one to study. Since positions 1 and 2 are vacant, D must be at position 2, and C must be at position 1.

Step 3: Assign the remaining birds
- The remaining empty bird slots are at positions 3 (G), 4 (H), 7 (F), and 8 (E).
- Clue: The one studying about Penguin is studying immediately after Kingfisher. Thus, Kingfisher and Penguin must be adjacent (Kingfisher at Y, Penguin at Y + 1).
- Clue: Two persons were studying between Kingfisher and Peacock.
- To satisfy these conditions, Kingfisher must be at position 7 (F) and Penguin at position 8 (E). The Peacock is then at position 4 (H) (two persons, B and A, are between positions 4 and 7).
- Consequently, G (position 3) must be studying the remaining bird, Toucans.

Final Schedule:

From the final schedule, we can check the statements:
- B is studying in the month of June (False, B is in July).
- Two persons were studying after F (False, only one person, E, studies after F).
- G is studying about woodpecker (False, G is studying about Toucans).
- A is studying in the month of October (True).