Six numbers 1, 2, 3, 4, 5 and 6 are written on different faces of a dice. Two positions of this dice are shown. (Position 1 shows faces 1, 4, 6 and Position 2 shows faces 3, 5, 6 with 6 being common on the top face). Find the number on the face opposite to 2.
- A5
- B4
- C6
- D1
Solution & Step-by-step Explanation
Let's identify the faces adjacent to the common number 6 from both positions of the dice:
From position 1, the faces adjacent to 6 are 1 and 4.
From position 2, the faces adjacent to 6 are 3 and 5.
Since 6 is adjacent to 1, 4, 3, and 5, the only remaining number that can be opposite to 6 is 2.
Therefore, the face opposite to 2 must be 6.
From position 1, the faces adjacent to 6 are 1 and 4.
From position 2, the faces adjacent to 6 are 3 and 5.
Since 6 is adjacent to 1, 4, 3, and 5, the only remaining number that can be opposite to 6 is 2.
Therefore, the face opposite to 2 must be 6.