10.

The major types of mountains can be categorized as follows:

1. **Folded Mountains**: These mountains are formed primarily through the process of folding, where layers of the Earth's crust are compressed and pushed upward. Examples include the Himalayas and the Rockies.

2. **Fault-block Mountains**: These mountains are formed through tectonic activity, specifically the movement of faults that cause large blocks of the Earth's crust to be lifted or tilted. Examples include the Sierra Nevada mountains.

3. **Volcanic Mountains**: These mountains are formed by volcanic activity, where magma from beneath the Earth’s crust erupts and accumulates on the surface. Examples include Mount St. Helens and Mount Fuji.

Based on the options you provided, the correct category of major types of mountains is:

**Folded, fault-block, volcanic**.