Two positions of the same dice are given. What digit will be on the face opposite to the face having the digit 5?
[Image description: Dice 1 shows faces 1, 2, 4. Dice 2 shows faces 1, 3, 6.]
- A6
- B4
- C1
- D3
Solution & Step-by-step Explanation
From the two positions of the dice, the common number is 1.
Let's list the numbers in clockwise order starting from the common face 1:
Position 1: 1→2→4
Position 2: 1→3→6
By comparing the positions:
Face opposite to 2 is 3.
Face opposite to 4 is 6.
The remaining face opposite to 1 must be the remaining number, which is 5.
Therefore, the face opposite to 5 is 1.
Let's list the numbers in clockwise order starting from the common face 1:
Position 1: 1→2→4
Position 2: 1→3→6
By comparing the positions:
Face opposite to 2 is 3.
Face opposite to 4 is 6.
The remaining face opposite to 1 must be the remaining number, which is 5.
Therefore, the face opposite to 5 is 1.