Directions: Read the following information carefully and answer the questions that follow:

Nine persons—A, B, C, D, E, F, G, H, and I—sit around a circular table facing towards the center, but not necessarily in the same order. B sits third to the right of E. Two persons sit between E and H. D sits second to the left of B. A sits third to the right of D. I sits immediately between A and H. C sits immediately between B and D. F sits to the immediate right of G.

Which of the following statement(s) is/are incorrect?
I. F does not sit adjacent to G
II. B sits exactly between E and A
III. D sits third to the left of A

Correct Option: Both I and II

Step 1: Understanding the Setup and Directions
Nine persons (A, B, C, D, E, F, G, H, and I) are sitting around a circular table facing towards the center.
When persons sit facing the center of a circular table:
• Moving clockwise corresponds to moving to a person's Right.
• Moving counter-clockwise corresponds to moving to a person's Left.

Step 2: Determining the Seating Arrangement
Let us assign positions 1 through 9 around the circle in a clockwise direction:
1. E and B: Place E at position 1. Since B sits third to the right (clockwise) of E, B sits at position 1 + 3 = 4.
2. H: Two persons sit between E and H. Going counter-clockwise from E (1), H is placed at position 7.
3. D: D sits second to the left (counter-clockwise) of B (4). Therefore, D sits at position 4 - 2 = 2.
4. A: A sits third to the right (clockwise) of D (2). Therefore, A sits at position 2 + 3 = 5.
5. I: I sits immediately between A (5) and H (7). Therefore, I sits at position 6.
6. C: C sits immediately between B (4) and D (2). Therefore, C sits at position 3.
7. G and F: The remaining positions are 8 and 9. Since F sits to the immediate right (clockwise) of G, G is at position 8 and F is at position 9.

Final Seating Order (Clockwise from Position 1 to 9):
E (1) → D (2) → C (3) → B (4) → A (5) → I (6) → H (7) → G (8) → F (9)

Step 3: Evaluating the Given Statements
• Statement I: "F does not sit adjacent to G"
G is at position 8 and F is at position 9. They sit immediately adjacent to each other. Therefore, Statement I is incorrect.
• Statement II: "B sits exactly between E and A"
E is at position 1 and A is at position 5. The person sitting exactly between position 1 and position 5 is C at position 3. Since B is at position 4, Statement II is incorrect.
• Statement III: "D sits third to the left of A"
A is at position 5. Moving 3 positions to the left (counter-clockwise) gives position 2, which is occupied by D. Therefore, Statement III is correct.

Since the question asks to identify the incorrect statement(s), statements I and II are incorrect.