A dice has its faces named by letters L, M, N, V, W and X. Two positions of the same dice are given below. Which face is opposite to face X?

The correct answer is N.

Step-by-step Explanation:

We are given two different positions of the same dice with faces named L, M, N, V, W, and X.

1. In the first position of the dice shown in the image, the top face is labeled M, the left face is labeled N, and the right face is labeled V. This shows that faces M and V are adjacent to face N.
2. In the second position of the dice, the top face is labeled N, the left face is labeled W, and the right face is labeled L. This shows that faces W and L are also adjacent to face N.

Combining the observations from both positions, the four faces adjacent to N are M, V, W, and L.

Since a cube/dice has 6 faces in total (L, M, N, V, W, and X) and 4 of them are adjacent to N, the only remaining face that is opposite to face N must be face X.
Thus, the face opposite to X is N.