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 $X$?

According to the rules of dice, when one face is common in both given positions of a dice (here, letter $N$ is common), we can find the remaining opposite pairs by listing the faces in a clockwise direction starting from the common face:
* From Position 1: $N\to M\to V$
* From Position 2: $N\to L\to W$

By matching the corresponding positions in the clockwise sequences:

* Face $M$ is opposite to face $L$.
* Face $V$ is opposite to face $W$.

The only remaining face from the set $\{L,M,N,V,W,X\}$ is $X$, which must be opposite to the common face $N$.

Therefore, the face opposite to $X$ is **$N$ **, which corresponds to Option A.