A dice has its faces marked by numbers 4, 8, 12, 16, 20 and 24. Two positions of the same dice are given below. Which face is opposite to face 16?

The correct answer is 24.

Step-by-Step Explanation:

1. Analyze the given positions of the dice:

The dice has six faces marked with the numbers: 4, 8, 12, 16, 20, and 24.

Looking at the two positions provided in the image:

From the first dice position, the visible faces are 8, 24, and 20.

From the second dice position, the visible faces are 24, 4, and 12.

2. Identify the adjacent faces:

Adjacent faces are those that share a boundary and can be seen alongside a particular face. A face can never be opposite to any of its adjacent faces.

From the first position, the faces adjacent to 24 are 8 and 20.

From the second position, the faces adjacent to 24 are 4 and 12.

3. Determine the opposite face:

Combining the adjacent faces of 24 from both positions, we get: 8, 20, 4, and 12.

Since a single face on a standard 6-faced die can have at most 4 adjacent faces, the only remaining face that is NOT adjacent to 24 must be its opposite face.

The list of all numbers on the dice is: 4, 8, 12, 16, 20, and 24.

The only remaining number not in the adjacent list is 16.

Therefore, the face opposite to 16 is 24.