The correct option is B Periodic motion is always oscillatory.
All oscillatory motions are periodic because each oscillation gets completed in a definite interval of time. E.g. a load attached to a spring executes oscillatory motion. On the other hand, all periodic motions may not be oscillatory as periodic motion is that motion which repeats itself after equal intervals of time. E.g. revolution of planets around the Sun is a periodic motion but not an oscillatory motion.