Six Roman numbers I, II, III, IV, V and VI are written on different faces of a dice. Two positions of this dice are shown in the figure below. Find the Roman number on the face opposite to 'VI'.

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1747910909/aptidude_questions/dsn2s3meaq8oulbgqbwg.png)

Question

Six Roman numbers I, II, III, IV, V and VI are written on different faces of a dice. Two positions of this dice are shown in the figure below. Find the Roman number on the face opposite to 'VI'.

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1747910909/aptidude_questions/dsn2s3meaq8oulbgqbwg.png)

Accepted Answer

**Solution: Face Opposite to 'VI'**
From **Position 1**, the visible faces are **III** on top, **VI** on the left, and **V** on the right. This means VI is adjacent to III and V, so **VI is not opposite to III or V**.
From **Position 2**, the visible faces are **II** on top, **III** on the left, and **V** on the right. V appears in both positions with adjacent faces II, III, and VI, so **V cannot be opposite to any of these**. V must therefore be opposite to either I or IV.
Testing both cases: if V is opposite to I, the remaining pairs are III opposite IV and **VI opposite II**. If V is opposite to IV, the remaining pairs are III opposite I and **VI opposite II**. In both cases, the result is the same.
**Answer: The Roman number on the face opposite to VI is II.**

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