**Explanation:**

The general motion of a rigid body consists of both translational and rotational motion.

**Translational Motion:**
Translational motion refers to the movement of an object in a straight line, where all points on the object move parallel to each other by the same distance. In translational motion, the object moves from one location to another without any change in its orientation. This type of motion is characterized by the displacement of the center of mass of the object.

**Rotational Motion:**
Rotational motion refers to the movement of an object around an axis, where all points on the object move in circular paths about the axis. In rotational motion, the object spins or rotates about a fixed point or axis. This type of motion is characterized by the rotation of the object without any change in its position in space.

**Combination of Translational and Rotational Motion:**
A rigid body is an object that does not deform under external forces, meaning that the distances between its particles remain constant. When a rigid body moves, it can undergo both translational and rotational motion simultaneously.

To understand this, imagine a spinning top. As it spins, it moves in a circular path (rotational motion) while also moving across the table (translational motion). The spinning top's center of mass moves in a straight line while the top itself rotates about its axis.

Similarly, any object that undergoes general motion will have a combination of translational and rotational motion. For example, when a car moves forward, its wheels rotate (rotational motion) while the car moves in a straight line (translational motion).

Therefore, the correct answer is option C - both translational and rotational motion.