Rotated positions of a single solid are shown below. The various faces of the solid are marked with different symbols like dots, cross and line. Answer the three items (14-16) that follow the given figures.

Question: What is the symbol on the face opposite to that containing a single dot?

The correct option is Three dots.

To determine the symbol on the face opposite to the one containing a single dot, we can analyze the adjacency relationships of the symbols across the four given rotated positions of the solid.

First, let us list all the six distinct symbols present on the faces of the solid by observing the figures:
1. One dot (•)
2. Two dots (••)
3. Three dots (•••)
4. Four dots (••••)
5. Line (— / \)
6. Cross (✕)

Step 1: Find the face opposite to the "Two dots" face
Let us examine which faces are adjacent to the face with Two dots in the given figures:
- From Figure (I), the face with 2 dots is adjacent to the face with 1 dot and the face with the Line.
- From Figure (II), the face with 2 dots is adjacent to the face with 3 dots and the face with the Line.
- From Figure (IV), the face with 2 dots is adjacent to the face with 1 dot and the face with the Cross.

Combining these observations, the face with 2 dots is adjacent to:
⇒ 1 dot, 3 dots, the Line, and the Cross.

Since any face on a standard six-faced solid is adjacent to exactly four other faces, the face opposite to "Two dots" must be the only remaining face, which is Four dots.
Therefore:
Two dots is opposite to Four dots.

Step 2: Find the face opposite to the "One dot" face
Now, let us examine the faces adjacent to the face with One dot:
- From Figure (I), the face with 1 dot is adjacent to Two dots and the Line.
- From Figure (IV), the face with 1 dot is adjacent to Two dots and the Cross.

This tells us that the face with 1 dot cannot be opposite to:
- Two dots (since they are adjacent)
- The Line (since they are adjacent)
- The Cross (since they are adjacent)

Additionally, we established in Step 1 that Four dots is opposite to Two dots. Therefore, the face with 1 dot cannot be opposite to Four dots either.

Since the face with 1 dot cannot be opposite to itself, Two dots, Four dots, the Line, or the Cross, the only remaining symbol that can be opposite to it is Three dots.

Thus, the symbol on the face opposite to that containing a single dot is Three dots.