Six numbers 1, 2, 3, 4, 5 and 6 are written on different faces of a dice. Two positions of this dice are shown in the following figure. Find the number on the face opposite to 4.
[Image showing two views of a single dice. View 1 shows faces 1, 2, and 4. View 2 shows faces 1, 2, and 5.]

- A5
- B1
- C3
- D6
Solution & Step-by-step Explanation
Let's analyze the two positions of the dice:
Position 1 shows the faces: 1, 2, and 4.
Position 2 shows the faces: 1, 2, and 5.
Rule of Dice: If two positions of a dice show two identical faces, then the remaining uncommon faces on both dice are opposite to each other.
Here, faces '1' and '2' are common to both positions.
The remaining faces are '4' in the first position and '5' in the second position.
Therefore, the face opposite to 4 must be 5.
Position 1 shows the faces: 1, 2, and 4.
Position 2 shows the faces: 1, 2, and 5.
Rule of Dice: If two positions of a dice show two identical faces, then the remaining uncommon faces on both dice are opposite to each other.
Here, faces '1' and '2' are common to both positions.
The remaining faces are '4' in the first position and '5' in the second position.
Therefore, the face opposite to 4 must be 5.