Three different positions of the same dice are shown. Find the number on the face opposite the face showing ‘1’.

The correct answer is 3.

The image shows three different positions of the same standard dice, labelled Fig. 1, Fig. 2, and Fig. 3. Let's read the visible faces from each figure:

Fig. 1: Top face = 1, Left face = 2, Right face = 6
Fig. 2: Top face = 1, Left face = 6, Right face = 5
Fig. 3: Top face = 1, Left face = 5, Right face = 4

A standard dice has 6 faces: 1, 2, 3, 4, 5, 6. In all three figures, face 1 is visible on the top. This means face 1's opposite face is never visible in any figure — since the opposite face is always hidden (facing down or away) when a particular face is on top.

From all three figures combined, the faces visible alongside face 1 are:
2, 4, 5, 5, 6, 6

So the faces we have seen are: 1, 2, 4, 5, 6.
The only face from the set {1, 2, 3, 4, 5, 6} that has never appeared in any of the three figures is 3.

This is the key rule for dice problems: the face opposite to a given face is always hidden when that given face is visible. Since 1 appears on top in all three figures, its opposite face is always hidden. The only number that is never seen anywhere in the three figures is 3.

Therefore, the number on the face opposite to 1 is 3.