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Six friends went to a Cyber Cafe. They a...

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.
Who is in the third room?

A

G

B

C

C

No body

D

F

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The correct Answer is:
To solve the problem, let's break down the information given step by step and arrange the friends in the rooms according to the constraints provided. ### Step 1: Understand the constraints 1. **Rooms**: There are 9 rooms in a row. 2. **Friends**: 6 friends (A, B, C, E, F, G) need to be accommodated. 3. **Constraints**: - A, E, and F do not want to be in rooms 1 or 9 (the ends). - B and A must not have anyone adjacent to their rooms. - There is only 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). ### Step 2: Place E Since E is next to the room at the beginning, E can only be in room 2 (because E cannot be in room 1). ``` Room: 1 2 3 4 5 6 7 8 9 [ ] [E] [ ] [ ] [ ] [ ] [ ] [ ] [ ] ``` ### Step 3: Place A and F A and F cannot be in rooms 1 or 9. Since there is only one empty room between A and F, the possible placements for A and F could be: - A in room 4 and F in room 6 - A in room 5 and F in room 7 However, A and B must not have anyone adjacent to them. Therefore, if we place A in room 4, B cannot be in room 3 or 5. This means B must go in room 1 or 9, which is not allowed because A, E, and F cannot be in room 9. So, let's try placing A in room 5 and F in room 7: ``` Room: 1 2 3 4 5 6 7 8 9 [ ] [E] [ ] [ ] [A] [ ] [F] [ ] [ ] ``` ### Step 4: Place B Since A is in room 5, B cannot be in room 4 or 6. Therefore, B must be in room 1: ``` Room: 1 2 3 4 5 6 7 8 9 [B] [E] [ ] [ ] [A] [ ] [F] [ ] [ ] ``` ### Step 5: Place C and G C must be adjacent to both G and F. Since F is in room 7, C must be in room 8, and G must be in room 6: ``` Room: 1 2 3 4 5 6 7 8 9 [B] [E] [ ] [ ] [A] [G] [F] [C] [ ] ``` ### Step 6: Fill in the remaining room The only room left is room 3, which must be filled by the remaining friend, which is D (not mentioned in the constraints but assumed to be the sixth friend). ``` Room: 1 2 3 4 5 6 7 8 9 [B] [E] [D] [ ] [A] [G] [F] [C] [ ] ``` ### Conclusion Now, we can answer the question: **Who is in the third room?** The answer is **D**.

To solve the problem, let's break down the information given step by step and arrange the friends in the rooms according to the constraints provided. ### Step 1: Understand the constraints 1. **Rooms**: There are 9 rooms in a row. 2. **Friends**: 6 friends (A, B, C, E, F, G) need to be accommodated. 3. **Constraints**: - A, E, and F do not want to be in rooms 1 or 9 (the ends). - B and A must not have anyone adjacent to their rooms. ...
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