Analytical Reasoning Question No. 89
Seven rooms in a building are to be painted. The rooms, which are on one side of a hallway, are numbered consecutively, one to seven, from the front of the building to the back. Each room is to be painted one color only according to the following conditions:
1. Two rooms must be painted pink; two rooms must be painted brown; two rooms must be painted gold; and one room must be painted silver.
2. The two rooms painted gold must be next to each other.
3. The two rooms painted brown cannot be next to each other.
4. The room painted silver cannot be next to a room painted pink.
5. Room 3 must be painted pink.
1. Two rooms must be painted pink; two rooms must be painted brown; two rooms must be painted gold; and one room must be painted silver.
2. The two rooms painted gold must be next to each other.
3. The two rooms painted brown cannot be next to each other.
4. The room painted silver cannot be next to a room painted pink.
5. Room 3 must be painted pink.
📌 Summary of constraints:
- Pink: 2 rooms (room 3 is fixed pink) → one more pink elsewhere.
- Brown: 2 rooms (not adjacent).
- Gold: 2 rooms (adjacent / consecutive).
- Silver: 1 room (cannot be adjacent to any pink).
- All rooms 1 to 7 use exactly these colors.
🔹 Question 1: If room 2 is painted gold, which of the following rooms must also be painted gold?
| Option | Choice |
|---|---|
| (A) | 1 |
| (B) | 3 |
| (C) | 4 |
| (D) | 5 |
| (E) | 6 |
🔹 Question 2: If room 5 is painted pink, which of the following could be true?
| Option | Possible Statement |
|---|---|
| (A) | Room 1 is painted brown. |
| (B) | Room 2 is painted silver. |
| (C) | Room 4 is painted gold. |
| (D) | Room 4 is painted brown. |
| (E) | Room 6 is painted silver. |
🔹 Question 3: If room 4 is painted pink and a room that is painted gold is next to a room that is painted pink, which of the following must be true?
| Option | Choice |
|---|---|
| (A) | Room 1 is painted gold. |
| (B) | Room 1 is painted silver. |
| (C) | Room 5 is painted brown. |
| (D) | Room 6 is painted silver. |
| (E) | Room 7 is painted brown. |
🎬 Click video above for step-by-step explanation 🎬
⚡ Tip: use logic arrangement to satisfy gold adjacency, brown non-adjacent, silver not next to pink.
Correct answers are validated based on standard reasoning puzzle.
Correct answers are validated based on standard reasoning puzzle.