A dice has its faces named by alphabets H, I, J, X, Y and Z. Two positions of the same dice are given below. Which face is opposite to face Y?

- AJ
- BH
- CZ
- DX
Solution & Step-by-step Explanation
To find the face opposite to Y, let's analyze the common face in both positions of the dice:
* The letter X is common to both positions.
From the properties of a standard/logical dice, any faces that are adjacent to a particular face cannot be opposite to it.
* In Position 1, the faces adjacent to X are H and Z.
* In Position 2, the faces adjacent to X are J and I.
Combining these observations, the faces adjacent to X are: H, Z, J, and I.
The only remaining face on the dice is Y.
Since Y cannot be adjacent to X, it must be located directly opposite to it. Therefore, the face opposite to face Y is X.
* The letter X is common to both positions.
From the properties of a standard/logical dice, any faces that are adjacent to a particular face cannot be opposite to it.
* In Position 1, the faces adjacent to X are H and Z.
* In Position 2, the faces adjacent to X are J and I.
Combining these observations, the faces adjacent to X are: H, Z, J, and I.
The only remaining face on the dice is Y.
Since Y cannot be adjacent to X, it must be located directly opposite to it. Therefore, the face opposite to face Y is X.