Q. Six faces of a cube are numbered from 1 to 6, each face carrying one different number. Further:
1. The face 2 is opposite to the face 6.
2. The face 1 is opposite to the face 5.
3. The face 3 is between the face 1 and the face 5.
4. The face 4 is adjacent to the face 2.
Which one of the following is correct?
Answer:
The face 2 is adjacent to the face 3
Notes: Given the constraints: face 2 is opposite to face 6; face 1 is opposite to face 5; face 3 is between faces 1 and 5, meaning it is adjacent to both; and face 4 is adjacent to face 2. On a cube, opposite faces cannot be adjacent. Since face 1 is opposite to face 5 and face 3 lies between them, face 3 must be adjacent to both 1 and 5. Face 4 is adjacent to 2, so it must be opposite face 3. This setup confirms that faces 2 and 3 share an edge, making them adjacent. Therefore, option 1 is correct.