Which of the following gives rise to both lysosomes and vesicles?

A

Rough endoplasmic reticulum

B

Mitochondria

C

Golgi apparatus

D

Ribosomes

The endomembrane system consists of the nuclear envelope, the Golgi apparatus, the vesicles, and the ER. The Golgi apparatus is the organelle that gives rise to lysozymes and vesicles.
So, the correct answer is 'Golgi apparatus'.