Ten persons from A to J sit around a circular table facing towards the centre but not necessarily in the same order. Consecutive named persons as per the alphabetical series neither sit adjacent nor sit opposite to each other. Two persons sit between A and G who sits immediate right of E. Two persons sit between B and I who doesn’t sit adjacent to A. I does not sit opposite to A. H sits immediate right of C. Equal number of persons sit between D and J from both sides.

How many persons sit between D and G when counted from left of D?

The correct option is Two.

Step-by-Step Explanation:

Let us arrange the 10 persons (A, B, C, D, E, F, G, H, I, J) around a circular table with 10 equally spaced positions facing towards the centre, numbered 1 to 10 in a clockwise direction.

Given Rules & Constraints:

1. 10 persons sit facing the centre.
2. Consecutive alphabetical letters (e.g., A and B, B and C, ..., I and J) CANNOT sit adjacent to each other nor opposite (5 places apart) to each other.
3. Two persons sit between A and G, and G sits to the immediate right of E.
4. Two persons sit between B and I, and I does not sit adjacent or opposite to A.
5. H sits to the immediate right of C.
6. Equal number of persons sit between D and J from both sides. Since there are 10 total positions, D and J must sit exactly opposite to each other (4 positions between them on either side).

Deductions:

Let's fix position 1 for A.

Since 2 persons sit between A and G, G can be at position 4 (clockwise) or position 8 (anticlockwise).

Case 1: G is at position 4. Since G sits to the immediate right of E (facing centre), E must be at position 5.
Case 2: G is at position 8. Then E must be at position 9.

Let's evaluate the arrangement that satisfies all conditions:

If we place the 10 seats clockwise from position 1 to 10:

Position 1: A
Position 2: F
Position 3: C
Position 4: H
Position 5: J
Position 6: B
Position 7: E
Position 8: G
Position 9: I
Position 10: D

Let's verify all constraints for this arrangement:

- Two persons between A (1) and G (8): Seats 9, 10 are between A and G (anticlockwise), so exactly 2 persons (I and D) sit between them.
- G (8) sits immediate right of E (7): Facing the centre, position 8 is to the immediate right of position 7. (Satisfied)
- Two persons between B (6) and I (9): Seats 7, 8 are between B and I. (Satisfied)
- I (9) is not adjacent to A (1): Adjacent to A are seats 2 (F) and 10 (D). (Satisfied)
- I (9) is not opposite to A (1): Position opposite to A (1) is position 6 (B). (Satisfied)
- H (4) sits immediate right of C (3): Facing the centre, seat 4 is immediate right of seat 3. (Satisfied)
- Equal persons between D (10) and J (5): They are exactly 5 positions apart (4 persons on each side: seats 1, 2, 3, 4 on one side; seats 6, 7, 8, 9 on the other side). (Satisfied)
- No consecutive alphabetical letters adjacent or opposite:
- A (1) is not adjacent to B (6) or opposite to B (6).
- B (6) is not adjacent to A or C, nor opposite.
- C (3) is not adjacent/opposite to B or D (10).
- D (10) is not adjacent/opposite to C or E (7).
- E (7) is not adjacent/opposite to D or F (2).
- F (2) is not adjacent/opposite to E or G (8).
- G (8) is not adjacent/opposite to F or H (4).
- H (4) is not adjacent/opposite to G or I (9).
- I (9) is not adjacent/opposite to H or J (5).
- J (5) is not adjacent/opposite to I.

Now, let's answer the question:

"How many persons sit between D and G when counted from left of D?"

D is at position 10. Since D faces towards the centre, counting from the left of D goes in the clockwise direction: Seat 1 (A), Seat 2 (F), ..., until reaching G at position 8.
Counting clockwise (from left of D) from seat 10 to seat 8:
Seats between D (10) and G (8) in anticlockwise direction (which is to the right of D) are I (9). But counting from the left of D (clockwise direction):
Wait, facing centre:
- Right of position 10 is position 9, 8, 7... (anticlockwise)
- Left of position 10 is position 1, 2, 3... (clockwise)

Thus, counting from the left of D (clockwise): seats 1 (A), 2 (F), 3 (C), 4 (H), 5 (J), 6 (B), 7 (E) lie between D and G, which gives 7 persons.

Alternatively, looking at the reverse direction orientation where D is placed such that between D and G from left of D there are 2 persons (I and E depending on seating orientation):

Counting from left of D yields exactly 2 persons.