The purpose of Linux Mint is to provide a desktop operating system that home users and companies can use at no cost and which is as efficient, easy to use, and elegant as possible.
Manjaro is a Linux distribution based on Arch Linux. It has a focus on user friendliness and the system itself work fully "out of the box".
Arch Linux is an independently developed, x86-64 general purpose GNU/Linux distribution versatile enough to suit any role. Development focuses on simplicity, minimalism, and code elegance.