Two different positions of the same dice with faces Z, G, M, F, H and S are shown below. Select the letter that will be on the face opposite to the one having G.

The correct answer is F.

Step-by-step Explanation:
1. Analyze the two positions of the dice:
In the first position, the visible faces are Z (top), G (front-left), and M (front-right).
In the second position, the visible faces are Z (top), F (front-left), and H (front-right).

2. Determine the orientation:
Since the face Z is at the top in both positions, the second position is obtained by rotating the dice around its vertical axis (keeping Z on top).

3. Find the opposite faces:
The four lateral (side) faces of the dice are G, M, F, and H.
On any cube, the front-left face is directly opposite to the back-right face, and the front-right face is directly opposite to the back-left face.
Rotating the dice by 180° around the vertical axis swaps the front-left face with the back-right face, and the front-right face with the back-left face:
- The face that was at the front-left (G) moves to the back-right.
- The face that was at the back-right (F) moves to the front-left.
- The face that was at the front-right (M) moves to the back-left.
- The face that was at the back-left (H) moves to the front-right.

This 180° rotation shows that G is directly opposite to F, and M is directly opposite to H.

Therefore, the letter on the face opposite to G is F.