A dice has its faces named by letters B, C, D, R, S and T. Two positions of the same dice are given below. Which face is opposite to face R?

The correct answer is B.

To find the face opposite to face R, let us analyze the two given positions of the dice shown in the image below:

Step 1: Identify the faces adjacent to face B.
In the first position of the dice, the face B is at the top, and its adjacent visible faces are T and C.
In the second position of the dice, the face B is also at the top, and its adjacent visible faces are D and S.

Since a single face of a dice can only have 4 adjacent faces, the faces adjacent to B are:
T, C, D, and S.

Step 2: Determine the opposite face.
The dice has six faces: B, C, D, R, S, and T.
Since T, C, D, and S are all adjacent to B, the only remaining face that can be opposite to B is R.

Therefore, the face opposite to R is B.