To solve the seating arrangement problem, we will follow the clues step by step.
### Step 1: Draw the Circle
We start by drawing a circle and labeling seven positions for A, B, C, D, E, F, and G.
### Step 2: Place D and C
According to the information, "C sits third to the left of D and both are facing the centre."
- If we place D at position 1, C will be at position 6 (1st left is position 7, 2nd left is position 5, 3rd left is position 6).
- Both D and C are facing the center.
### Step 3: Identify E's Position
The clue states, "E is neither an immediate neighbour of D nor of C."
- Since D is at position 1 and C is at position 6, E cannot be at positions 2, 5, or 7. Therefore, E can only be at position 3 or 4.
### Step 4: Place F
The next clue states, "The one sitting exactly between D and F is facing opposite to the centre."
- If we assume F is at position 2, then the person at position 3 (which could be E) would be facing opposite to the centre. This contradicts our earlier assumption about E's position.
- If F is at position 5, then the person at position 4 (which could be E) would be facing opposite to the centre. This is a valid assumption.
### Step 5: Place G and A
The clue states, "G sits third to the right of A and G is facing the centre."
- If we place A at position 4, G would be at position 1 (4th right is position 1). However, G cannot be at position 1 since D is there.
- If we place A at position 3, then G would be at position 6, which is not possible since C is there.
- If we place A at position 2, then G would be at position 5, which is also not possible since F is there.
- If we place A at position 7, then G would be at position 3. This works since G can be at position 4.
### Step 6: Identify B's Position
The clue states, "One of B's neighbours is facing opposite to the centre."
- Since E is facing opposite to the centre, B must be at position 4 or 5.
### Final Arrangement
After placing all the people based on the clues, we have:
- Position 1: D (facing centre)
- Position 2: F (facing opposite)
- Position 3: E (facing opposite)
- Position 4: A (facing centre)
- Position 5: G (facing centre)
- Position 6: C (facing centre)
- Position 7: B (facing opposite)
### Conclusion
The pairs facing opposite to the centre are E and F.
