A dice has its faces marked by numbers 5, 6, 7, 8, 9 and 10. Two positions of the same dice are described. In the first position, faces 5, 6, and 7 are visible. In the second position, faces 5, 7, and 9 are visible. Which face is opposite to face 6?
- A10
- B5
- C9
- D8
Solution & Step-by-step Explanation
Analyzing the two described positions of the dice:
* Position 1 shows faces: 5, 6, 7
* Position 2 shows faces: 5, 7, 9
Notice that faces 5 and 7 are common to both positions. According to standard dice rules, if two different positions of a dice share two common faces, then the remaining unmatched faces on those positions are opposite to each other.
Hence, the face marked 6 is opposite to the face marked 9.
* Position 1 shows faces: 5, 6, 7
* Position 2 shows faces: 5, 7, 9
Notice that faces 5 and 7 are common to both positions. According to standard dice rules, if two different positions of a dice share two common faces, then the remaining unmatched faces on those positions are opposite to each other.
Hence, the face marked 6 is opposite to the face marked 9.