Six numbers 1, 2, 3, 4, 5 and 6 are written on different faces of a dice. Three positions of this dice are shown below:
Position 1: Top face has 3, adjacent faces have 1 and 2.
Position 2: Top face has 5, adjacent faces have 1 and 4.
Position 3: Top face has 6, adjacent faces have 2 and 4.
Find the number on the face opposite to the number 3.
- A2
- B1
- C4
- D6
Solution & Step-by-step Explanation
Let's analyze the adjacent faces of each number across the three positions:
From Position 1: 3 is adjacent to 1 and 2.
From Position 2: 5 is adjacent to 1 and 4.
From Position 3: 6 is adjacent to 2 and 4.
Let's find the number opposite to 4 by looking at positions 2 and 3:
In Position 2, 4 is adjacent to 1 and 5.
In Position 3, 4 is adjacent to 2 and 6.
Since 4 is adjacent to 1, 5, 2, and 6, the only remaining face that can be opposite to 4 is 3.
Thus, the number on the face opposite to 3 is 4.
From Position 1: 3 is adjacent to 1 and 2.
From Position 2: 5 is adjacent to 1 and 4.
From Position 3: 6 is adjacent to 2 and 4.
Let's find the number opposite to 4 by looking at positions 2 and 3:
In Position 2, 4 is adjacent to 1 and 5.
In Position 3, 4 is adjacent to 2 and 6.
Since 4 is adjacent to 1, 5, 2, and 6, the only remaining face that can be opposite to 4 is 3.
Thus, the number on the face opposite to 3 is 4.