A dice has its faces marked by numbers 2, 4, 6, 8, 10 and 12. Two positions of the same dice are given below. Which face is opposite to face 4?

The correct answer is 2.

Step-by-step Explanation:

1. Identify the numbers on all six faces of the dice: the problem states that the faces are marked with the numbers 2, 4, 6, 8, 10, and 12.

2. Analyze the two positions of the dice shown in the image:
- First Position: The top face is 2, and the two visible adjacent faces are 10 and 12.
- Second Position: The top face is 2, and the two visible adjacent faces are 8 and 6.

3. Determine the faces adjacent to face 2:
Since the faces 6, 8, 10, and 12 are all visible next to face 2 in these two orientations, they must be adjacent to face 2.

4. Find the face opposite to face 2:
A cube has 6 faces. Since 6, 8, 10, and 12 are adjacent to 2, the only remaining face that can be opposite to face 2 is 4.

5. Therefore, the face opposite to face 4 is 2.