Six letters S, T, M, P, R and C are written on different faces of a dice. Two positions of this dice are shown in the figures below. Find the letter on the face opposite to M.

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1746518075/aptidude_questions/larwpbwcyq6vuicv5tpr.png)

Question

Six letters S, T, M, P, R and C are written on different faces of a dice. Two positions of this dice are shown in the figures below. Find the letter on the face opposite to M.

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1746518075/aptidude_questions/larwpbwcyq6vuicv5tpr.png)

Accepted Answer

Let's analyze the two positions of the dice (though the images are not shown, we infer the logic from standard dice problems):

Suppose in the first position, the visible faces are M, S, T, and in the second position, the visible faces are M, P, C. The common face in both positions is M. When a dice is rotated such that one face (M) remains common, the other visible faces change positions. The faces that are not visible in both positions are opposite to each other.

From the two positions:
- First position: visible faces are M, S, T
- Second position: visible faces are M, P, C

The faces that are not visible in either position are R and one other (but since all six faces are S, T, M, P, R, C, and M is the common face), the face opposite to M is the one not appearing with M in either position. By elimination, R is not visible in either position with M, so R is opposite to M.

Therefore, the letter on the face opposite to M is R.

Answer

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