A dice has numbers 2, 3, 4, 5, 8 and 9 on its sides. Two different positions of the same dice are shown below. Select the number that will be on the face opposite to the one having 3.

The correct answer is 4.

To find the face opposite to the face having the number 3, we analyze the two different positions of the dice shown in the image:

Step 1: Identify the common face
In both positions of the dice, the top face shows the number 9. This means that the faces adjacent to 9 are 5, 3, 2, and 4.

Step 2: Determine the opposite faces
Since the number 9 is at the top in both orientations, the remaining four numbers (5, 3, 2, and 4) must form a ring around the vertical axis of the dice.
In the first position, we see that the face showing 5 is on the left, and the face showing 3 is on the right.
In the second position, the top face is still 9, but we now see 2 on the left and 4 on the right.
Since the dice has only been rotated around its vertical axis, the relative positions of the faces must remain consistent:
If we rotate the first dice by 180° around the vertical axis, the front-left face (5) moves to the back-right, and its opposite face (2) comes to the front-left position.
Similarly, the front-right face (3) moves to the back-left, and its opposite face (4) comes to the front-right position.

Comparing this rotation with the second position:
- The face 2 is at the front-left (opposite to 5).
- The face 4 is at the front-right (opposite to 3).

Therefore, the face opposite to the face with the number 3 is 4.