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?

The correct option is X.

Step-by-Step Explanation:
We are given two positions of a dice whose six faces are labeled with the letters H, I, J, X, Y, and Z.

Let's analyze the faces visible in both positions shown in the image:
1. In the first position, the visible faces are H (top face), Z (left face), and X (right face). This means the faces H and Z are adjacent to X.
2. In the second position, the visible faces are X (top face), J (left face), and I (right face). This means the faces J and I are also adjacent to X.

From these two positions, we observe that face X is adjacent to four distinct faces: H, Z, J, and I. Since a face cannot be opposite to any of its adjacent faces, face X cannot be opposite to H, Z, J, or I.

The only remaining uncounted face out of the six faces (H, I, J, X, Y, Z) is face Y.
Therefore, the face opposite to face Y is X.