Eight persons A, B, C, D, E, F, G, and H are sitting around a rectangular table in such a way that four persons sit on each of the four corners of the table and other four persons sit on the middle of each side. The one who sits at the corner of the table faces outside the center of the table and the one who sits at the middle side of the table faces towards the center of the table. Persons sitting on opposite sides are exactly opposite to each other.

F sits at one of the middle sides of the table. Two persons sit between F and E. Only one person sits between F and C. E does not sit near to C. Either A sits 2nd to the left of H or 2nd right of H. One person sits between A and C. B and G sit opposite to each other. D sits 2nd to the left of B. G doesn’t sit next to F.

How many persons sit between D and F when counted to the right of D?

Question

Eight persons A, B, C, D, E, F, G, and H are sitting around a rectangular table in such a way that four persons sit on each of the four corners of the table and other four persons sit on the middle of each side. The one who sits at the corner of the table faces outside the center of the table and the one who sits at the middle side of the table faces towards the center of the table. Persons sitting on opposite sides are exactly opposite to each other.

F sits at one of the middle sides of the table. Two persons sit between F and E. Only one person sits between F and C. E does not sit near to C. Either A sits 2nd to the left of H or 2nd right of H. One person sits between A and C. B and G sit opposite to each other. D sits 2nd to the left of B. G doesn’t sit next to F.

How many persons sit between D and F when counted to the right of D?

Accepted Answer

**Solution:**

1. There are 8 persons: A, B, C, D, E, F, G, H sitting around a rectangular table.
2. Four persons sit at the corners (facing outside), and four sit at the middle of each side (facing inside).
3. Opposite persons sit exactly opposite each other.
4. F sits at a middle side.
5. Two persons sit between F and E.
6. Only one person sits between F and C.
7. E does not sit near C.
8. Either A sits 2nd to the left of H or 2nd to the right of H.
9. One person sits between A and C.
10. B and G sit opposite each other.
11. D sits 2nd to the left of B.
12. G doesn’t sit next to F.

**Step-by-step arrangement:**

- Label the positions around the rectangular table as follows (corners and middles):
  - Corners: Positions 1, 3, 5, 7
  - Middles: Positions 2, 4, 6, 8

- Since F sits at a middle side, assign F to position 2.

- Two persons sit between F and E:
  - Counting clockwise from F (position 2), two persons between means E is at position 5 (corner).

- Only one person sits between F and C:
  - One person between F (2) and C means C is at position 4 or 8.

- E does not sit near C:
  - E is at 5, so C cannot be at 4 or 6 (neighbors of 5).
  - So C must be at position 8.

- One person sits between A and C:
  - C is at 8, so A can be at 6 or 2.
  - 2 is taken by F, so A is at 6.

- Either A sits 2nd to the left of H or 2nd to the right of H:
  - Check possibilities:
    - If A is 2nd to the left of H, then H is at position 8 (C's position) or 4.
    - H cannot be at 8 (occupied by C), so H is at 4.

- B and G sit opposite each other:
  - Possible opposite pairs are (1,5), (3,7), (2,6), (4,8).
  - 2 and 6 are taken by F and A.
  - 4 and 8 are taken by H and C.
  - So B and G must be at (1,5) or (3,7).
  - E is at 5, so B and G must be at (3,7).

- D sits 2nd to the left of B:
  - If B is at 3, then 2nd to left of B is position 1 (since left is counterclockwise).
  - So D is at 1.

- G is opposite B, so G is at 7.

- G doesn’t sit next to F:
  - F is at 2, neighbors are 1 and 3.
  - G is at 7, so not next to F. Condition satisfied.

**Final seating arrangement:**
- Position 1: D (corner)
- Position 2: F (middle)
- Position 3: B (corner)
- Position 4: H (middle)
- Position 5: E (corner)
- Position 6: A (middle)
- Position 7: G (corner)
- Position 8: C (middle)

**Question:** How many persons sit between D and F when counted to the right of D?

- Right of D means clockwise from position 1.
- Positions clockwise from 1 are: 2 (F), 3 (B), 4 (H), ...
- Between D (1) and F (2) clockwise, there are no persons.

**Answer:** None (0 persons)

But the options given are:
(a) One
(b) None
(c) Two
(d) Three
(e) Four

So the correct answer is (b) None.

**Answer:** None

Answer

Answer

Answer