Three different positions of the same dice are given. Find the number on the face opposite to the face showing ‘4’.

The correct answer is 2.

To find the face opposite to the face showing '4', let us analyze the three different positions of the dice shown in the image below:

Step-by-step Analysis:
1. Observe that in all three positions of the dice, the number 3 is on the top face.
2. Since 3 remains at the top, we can easily determine the arrangement of the four surrounding side (lateral) faces by looking at which numbers are adjacent to each other:
- From the first position, the side faces showing 6 and 2 are adjacent, with 6 on the left and 2 on the right.
- From the second position, the side faces showing 2 and 5 are adjacent, with 2 on the left and 5 on the right.
- From the third position, the side faces showing 5 and 4 are adjacent, with 5 on the left and 4 on the right.

3. Combining these observations, the circular order of the four side faces around the top face 3 is:
6 → 2 → 5 → 4 → 6

4. In a circular sequence of four faces around a dice, the faces opposite to each other are separated by one face:
- The face opposite to 6 is 5.
- The face opposite to 4 is 2.

Therefore, the number on the face opposite to the face showing ‘4’ is 2.