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. Eg: a load attached to a spring executes oscillatory motion.
Periodic motion is the motion which repeats itself after equal intervals of time. All periodic motions may not be oscillatory. For example, the revolution of a planet around the Sun is a periodic motion but not an oscillatory motion.