Six friends went to a Cyber Cafe. They are to be accommodated in a row of nine rooms, each to a room. A, E and F do not want to be in a room at the end of the row. B and A must not have anybody adjacent to their rooms, There is only an empty room between A and F. C is adjacent to both G and F. E is next to the room at the beginning.
Which rooms are empty?

Options

A. `1,6,8`
B. `1,5,8`
C. `4,5,6`
D. `5,6,8`

Explanation

To solve the problem of accommodating six friends in a row of nine rooms while adhering to the given conditions, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Rooms**: We have 9 rooms in total, which we can label as Room 1 to Room 9.

2. **Conditions**:
- A, E, and F cannot be in Room 1 or Room 9 (the end rooms).
- B and A must not have anyone adjacent to their rooms.
- There must be one empty room between A and F.
- C is adjacent to both G and F.
- E is next to the room at the beginning (Room 1).

3. **Placing E**: Since E is next to Room 1, we can place E in Room 2.
- Current arrangement: Room 1 (empty), Room 2 (E), Room 3 (empty), Room 4 (empty), Room 5 (empty), Room 6 (empty), Room 7 (empty), Room 8 (empty), Room 9 (empty).

4. **Placing A and F**: A and F cannot be in Rooms 1 or 9. Since there must be an empty room between A and F, they can be placed in Rooms 4 and 6, respectively (or vice versa).
- Let's place A in Room 4 and F in Room 6:
- Current arrangement: Room 1 (empty), Room 2 (E), Room 3 (empty), Room 4 (A), Room 5 (empty), Room 6 (F), Room 7 (empty), Room 8 (empty), Room 9 (empty).

5. **Placing C and G**: C must be adjacent to both G and F. Since F is in Room 6, C can be placed in Room 5, and G can be placed in Room 7.
- Current arrangement: Room 1 (empty), Room 2 (E), Room 3 (empty), Room 4 (A), Room 5 (C), Room 6 (F), Room 7 (G), Room 8 (empty), Room 9 (B).

6. **Placing B**: The only room left for B is Room 9. B can be placed in Room 9 as it has no adjacent rooms.
- Final arrangement: Room 1 (empty), Room 2 (E), Room 3 (empty), Room 4 (A), Room 5 (C), Room 6 (F), Room 7 (G), Room 8 (empty), Room 9 (B).

7. **Identify Empty Rooms**: The empty rooms are Rooms 1, 3, and 8.

### Conclusion:
The empty rooms are **Room 1, Room 3, and Room 8**.