A dice has letters M, Q, R, S, T and V on its sides. Two different positions of the same dice are shown below. Select the letter that will be on the face opposite to the one having V.

The correct answer is S.

To find the letter on the face opposite to V, we can analyze the two positions of the dice shown in the image:

Step 1: Identify the common face
In both positions of the dice, the letter M is in the same position on the right-front face.

Step 2: Trace the adjacent faces around M
Since M remains in the same position, we can determine the relative positions of the faces adjacent to it:
• In the first position, the face V is on the top, and the face R is on the left.
• In the second position, the face S is on the top, and the face T is on the left.

Step 3: Determine the opposite faces
By rotating the dice around the face with M, we can see that the sequence of adjacent faces in a counter-clockwise direction around M is:
$V\to R\to S\to T\to V$

From this sequence:
• The face opposite to V must be S.
• The face opposite to R must be T.

Therefore, the letter on the face opposite to V is S.