A dice has its faces marked by numbers 5, 6, 7, 8, 9 and 10. Two positions of the same dice are given below. Which face is opposite to face 6?

The correct answer is 9.

Step-by-Step Explanation:

Step 1: Analyze the given positions of the dice.
From the image provided, we can observe two different views of the same dice:
• First Position: Shows numbers 9 (top), 5 (left), and 7 (right).
• Second Position: Shows numbers 10 (top), 8 (left), and 9 (right).

Step 2: Identify adjacent faces of face 6.
The dice has 6 faces marked with numbers: 5, 6, 7, 8, 9, and 10.
By carefully observing the visible faces in both positions:
1. In the first position, 9 is adjacent to 5 and 7.
2. In the second position, 9 is adjacent to 8 and 10.

Step 3: Determine the opposite face.
Since the face with number 9 is adjacent to four other numbers: 5, 7, 8, and 10, it cannot be opposite to any of these four faces.
The only remaining number on the dice that is not adjacent to 9 is 6.

Therefore, the face opposite to face 6 must be 9.