Three different positions of the same dice are shown. Find the number on the face opposite the face showing ‘2’.

The correct answer is 4.

To find the face opposite to the face showing '2', we can analyze the adjacent faces of the common number visible in all three positions of the dice.

From the given image:

We observe the following details for each position:

• First position: The face with number 1 is on top, and the adjacent visible faces are 2 and 3.
• Second position: The face with number 1 is on top, and the adjacent visible faces are 3 and 4.
• Third position: The face with number 1 is on top, and the adjacent visible faces are 4 and 5.

Since the face showing 1 is at the top in all three positions, the four faces adjacent to 1 are arranged in a circular sequence around it. By looking at the transitions between the positions:
- From the first position, face 3 is to the right of face 2.
- From the second position, face 4 is to the right of face 3.
- From the third position, face 5 is to the right of face 4.
This gives us the consecutive circular order of the lateral faces surrounding face 1 as:
2 → 3 → 4 → 5

In a six-sided die, the four lateral faces surrounding any given face form two pairs of opposite faces. Since the consecutive circular order is 2, 3, 4, and 5:
- The face opposite to 2 is 4.
- The face opposite to 3 is 5.
- Consequently, the face opposite to 1 must be the remaining number, which is 6.

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