A dice has its faces marked by numbers 10, 20, 30, 40, 50 and 60. Two positions of the same dice are given below. Which face is opposite to face 50?

The correct answer is 60.

Step-by-step explanation:

We are given that the faces of the die are marked with six numbers: 10, 20, 30, 40, 50, and 60.

Analyzing the two positions of the die shown in the image below:

1. From Position 1:
The visible faces are 40 (top face), 60 (left face), and 30 (right face).
This indicates that face 60 is adjacent to faces 40 and 30.

2. From Position 2:
The visible faces are 20 (top face), 10 (left face), and 60 (right face).
This indicates that face 60 is adjacent to faces 20 and 10.

3. Finding the opposite face:
Combining the information from both positions, face 60 is adjacent to four different faces: 10, 20, 30, and 40.
Since a standard die has six faces, any face is adjacent to four faces and opposite to exactly one face.
The only remaining number on the die that is not adjacent to 60 is 50.

Therefore, face 60 must be opposite to face 50.