Yes multiple processes can run simultaneously (without context-switching) in multi-core processors. If all processes are single threaded as you ask then 2 processes can run simultaneously in a dual core processor.

How many processes can run at a time?

A multitasking operating system may just switch between processes to give the appearance of many processes executing simultaneously (that is, in parallel), though in fact only one process can be executing at any one time on a single CPU (unless the CPU has multiple cores, then multithreading or other similar …

What is Max user processes Linux?

to /etc/sysctl. conf. 4194303 is the maximum limit for x86_64 and 32767 for x86. Short answer to your question : Number of process possible in the linux system is UNLIMITED.