If each person interchanges his or her position with the person seated opposite to him or her, then who will be on the immediate right of E?
Initial Seating Arrangement Deduction
We determine the initial seating arrangement based on the given clues:
- Clue 1 & 2: F is left of C, and F is adjacent to A. Given they face the center, "left of C" means the order is F, C clockwise. Since F is adjacent to A, the block is either A-F-C or F-C-A. With F left of C, we have the sequence F, C clockwise. A must be adjacent to F.
- Clue 3: H is to the immediate right of D. This implies the sequence (D, H) clockwise.
- Clue 4: Three persons sit between B and H. In an 8-person circle, this means B and H are seated opposite each other.
- Clue 5: B is to the immediate left of E. This implies the sequence (B, E) clockwise.
- Clue 6: E is not adjacent to C.
Let's place B at Seat 1. From Clue 4, H must be opposite B at Seat 5.
- From Clue 5 (B, E clockwise), E must be at Seat 2.
- From Clue 3 (D, H clockwise), D must be at Seat 4.
The partial arrangement is: B (Seat 1), E (Seat 2), ? (Seat 3), D (Seat 4), H (Seat 5), ? (Seat 6), ? (Seat 7), ? (Seat 8).
The remaining people are A, F, G. The remaining seats are 3, 6, 7, 8.
We need to place A, F, C using the sequences (F, C) clockwise and A adjacent to F.
- Consider placing F at Seat 7 and C at Seat 8. This satisfies (F, C) clockwise.
- A must be adjacent to F (at Seat 6 or Seat 8). Seat 8 is occupied by C. Therefore, A must be at Seat 6.
- The remaining person, G, takes the last available seat, Seat 3.
The final initial clockwise arrangement is: B, E, G, D, H, A, F, C.
| Seat | Person (Clockwise) |
|---|---|
| 1 | B |
| 2 | E |
| 3 | G |
| 4 | D |
| 5 | H |
| 6 | A |
| 7 | F |
| 8 | C |
Opposite Pairs and Positional Interchange
The pairs sitting opposite each other are determined from the initial arrangement:
| Seat 1 | Seat 2 | Seat 3 | Seat 4 | Seat 5 | Seat 6 | Seat 7 | Seat 8 |
|---|---|---|---|---|---|---|---|
| B | E | G | D | H | A | F | C |
| Opposite Pairs: (B, H), (E, A), (G, F), (D, C) | |||||||
Each person interchanges their position with the person seated opposite them.
- B (Seat 1) moves to H's original seat (Seat 5).
- H (Seat 5) moves to B's original seat (Seat 1).
- E (Seat 2) moves to A's original seat (Seat 6).
- A (Seat 6) moves to E's original seat (Seat 2).
- G (Seat 3) moves to F's original seat (Seat 7).
- F (Seat 7) moves to G's original seat (Seat 3).
- D (Seat 4) moves to C's original seat (Seat 8).
- C (Seat 8) moves to D's original seat (Seat 4).
The new arrangement of people in the seats (1 to 8 clockwise) is:
| Seat | Person (Clockwise) |
|---|---|
| 1 | H |
| 2 | A |
| 3 | F |
| 4 | C |
| 5 | B |
| 6 | E |
| 7 | G |
| 8 | D |
Locating E's Neighbor After Interchange
In the new seating arrangement, E is located at Seat 6.
The person seated to the immediate right of E (in the clockwise direction) is in Seat 7.
Observing the new arrangement, the person in Seat 7 is G.
Similar Questions
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Important Questions from Circular Arrangement
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