The faces of a dice are marked with the numbers 10, 20, 30, 40, 50, and 60. Two positions of this dice are given. In the first position, the numbers 10, 30, and 50 are visible. In the second position, the numbers 20, 40, and 50 are visible. Which face is opposite to the face with the number 50?
- A40
- B10
- C30
- D60
Solution & Step-by-step Explanation
From the two positions of the dice, the face with the number 50 is common.
In the first position, 50 is adjacent to 10 and 30.
In the second position, 50 is adjacent to 20 and 40.
This implies that 10, 20, 30, and 40 are all adjacent to 50.
Since a face on a cube can only have four adjacent faces, the remaining unmentioned number must be opposite to it.
The remaining number is 60, so the face opposite to 50 is 60.
In the first position, 50 is adjacent to 10 and 30.
In the second position, 50 is adjacent to 20 and 40.
This implies that 10, 20, 30, and 40 are all adjacent to 50.
Since a face on a cube can only have four adjacent faces, the remaining unmentioned number must be opposite to it.
The remaining number is 60, so the face opposite to 50 is 60.