In each of the views for the controllers you will find the details for each of the excercises. This isn't meant to be some tricky test, there are no gotchas or even any specific answers to the problems. I simply hope to use this to get an idea of how you approach a problem. Feel free to do anything you want with this (frameworks, UI, etc) and make the implementations any way you see fit. Code behind, Razor, JavaScript, whatever you want.
To run this application you will need to have the .NET Core 3.1 SDK installed on your machine. You can use any editor you feel confortable with as long as it supports .NET Core 3.1. Here are the two that are free that I know you can use:
If you need help getting started with .NET Core, you can see some walk throughs at https://docs.microsoft.com/en-us/dotnet/core/get-started
Feel free to reach out to me if you have any questions. Good luck and have fun!