Observe the dots on a dice (one to six dots) in the following figures. How many dots are contained on the face opposite to that containing four dots?
- A2
- B3
- C6
- DCannot be determined
Solution & Step-by-step Explanation
By observing the two positions of the dice:
1. In the first position, the visible faces contain 1, 2, and 5 dots.
2. In the second position, the visible faces contain 1, 5, and 6 dots.
We can see that the faces with 1 dot and 5 dots are common in both positions of the dice. According to the rules of dice, when two faces are common in two different positions, the remaining third faces on both positions are opposite to each other.
Therefore, the face containing 2 dots is opposite to the face containing 4 dots (since 4 is the remaining unseen number that must be opposite to 2 in this orientation). Thus, the face opposite to 4 dots contains 2 dots.
1. In the first position, the visible faces contain 1, 2, and 5 dots.
2. In the second position, the visible faces contain 1, 5, and 6 dots.
We can see that the faces with 1 dot and 5 dots are common in both positions of the dice. According to the rules of dice, when two faces are common in two different positions, the remaining third faces on both positions are opposite to each other.
Therefore, the face containing 2 dots is opposite to the face containing 4 dots (since 4 is the remaining unseen number that must be opposite to 2 in this orientation). Thus, the face opposite to 4 dots contains 2 dots.