Six numbers 1, 2, 3, 4, 5 and 6 are written on different faces of a dice. Three different positions of the same dice are shown.
Select the number on the face opposite to the one having 1.

- A4
- B3
- C5
- D6
Solution & Step-by-step Explanation
Let's analyze the adjacent faces from the given positions of the dice:
From position 1 (faces 1, 2, 3) and position 2 (faces 1, 3, 5):
The common faces are 1 and 3. When two faces are common in two positions of a dice, the remaining third faces are opposite to each other.
Therefore, the face 2 is opposite to 5.
From position 2 (faces 1, 3, 5) and position 3 (faces 3, 5, 6):
The common faces are 3 and 5. By the same rule, the remaining third faces are opposite to each other.
Therefore, the face 1 is opposite to 6.
Hence, the number on the face opposite to 1 is 6.
From position 1 (faces 1, 2, 3) and position 2 (faces 1, 3, 5):
The common faces are 1 and 3. When two faces are common in two positions of a dice, the remaining third faces are opposite to each other.
Therefore, the face 2 is opposite to 5.
From position 2 (faces 1, 3, 5) and position 3 (faces 3, 5, 6):
The common faces are 3 and 5. By the same rule, the remaining third faces are opposite to each other.
Therefore, the face 1 is opposite to 6.
Hence, the number on the face opposite to 1 is 6.