Eight people A, B, C, D, E, F, G and H are sitting around a circular table. A and B are facing towards the center while the other six people are facing opposite the center. A is sitting second to the right of H. B sits third to the left of A. D sits second to the right of G. G is neither an immediate neighbour of B nor A. E and F are immediate neighbours and are facing outside. What is the position of C with respect to D?
Third to the left
This problem requires us to determine the seating arrangement of eight people (A-H) around a circular table based on specific conditions, and then find the position of C relative to D.
Arranging People Around the Table
- Setup: 8 people, circular table. A & B face center. C, D, E, F, G, H face outside.
- H & A: 'A is second to the right of H'. H faces outside, so right is counter-clockwise. Placing H at seat 1, A is at seat 7 (1 -> CCW 8 -> CCW 7).
- A & B: 'B sits third to the left of A'. A faces center, so left is counter-clockwise. Placing A at seat 7, B is at seat 4 (7 -> CCW 6 -> CCW 5 -> CCW 4).
- G & D: 'D sits second to the right of G'. G faces outside, so right is counter-clockwise. Possible (G, D) pairs: (2, 8), (5, 3), (8, 6).
- G's Neighbors: 'G is neither an immediate neighbour of B nor A'. B is at seat 4 (neighbors 3, 5). A is at seat 7 (neighbors 6, 8). G cannot be at 3, 5, 6, or 8.
- G & D Placement: Only pair (G=2, D=8) satisfies the neighbor condition for G.
- E & F: 'E and F are immediate neighbours and face outside'. Remaining seats are 3, 5, 6. E and F occupy adjacent seats 5 and 6.
- C Placement: The last person, C, must be in the last available seat, which is seat 3.
Final Seating Configuration
| Seat (Clockwise) | Person | Facing |
| 1 | H | Outside |
| 2 | G | Outside |
| 3 | C | Outside |
| 4 | B | Center |
| 5 | E / F | Outside |
| 6 | F / E | Outside |
| 7 | A | Center |
| 8 | D | Outside |
Position of C Relative to D
- D is at seat 8, facing outside. C is at seat 3.
- For a person facing outside, their left is in the clockwise direction.
- Counting clockwise from D (seat 8) to reach C (seat 3): Seat 8 -> Seat 1 (1st left) -> Seat 2 (2nd left) -> Seat 3 (3rd left).
- Therefore, C is positioned third to the left of D.
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