Three different positions of the same dice are shown. Select the number that will be on the face opposite to the one having 1.
- A6
- B4
- C5
- D2
Solution & Step-by-step Explanation
Let's analyze the given distinct states of the single dice:
From state 1 and state 2, the common visible faces are 1 and 3. This indicates that the remaining faces 2 and 5 are mutually opposite.
From state 1 and state 3, the common visible faces are 2 and 3. This indicates that the remaining unshared faces 1 and 4 are mutually opposite.
Therefore, the face opposite to 1 is 4.
From state 1 and state 2, the common visible faces are 1 and 3. This indicates that the remaining faces 2 and 5 are mutually opposite.
From state 1 and state 3, the common visible faces are 2 and 3. This indicates that the remaining unshared faces 1 and 4 are mutually opposite.
Therefore, the face opposite to 1 is 4.