Can someone explain to me why is the overridden method being called when I cast the class into the base one:
    class Base
    {
        public virtual void VirtualMethod()
        {
            Console.WriteLine("Base virtual method");
        }
    }
    sealed class Derived : Base
    {
        public override void VirtualMethod()
        {
            Console.WriteLine("Overriden method");
        }
    }
    static void Main(String[] args)
    {
        Derived d = new Derived();
        ((Base)d).VirtualMethod();
    }
I mean this code prints:
Overriden method
and not
Base virtual method
Its a run-time or compile-time future?
I know i can call the Base's virtual method from the derived by calling base.VirtualMethod() but can I call it from outside? (like from Main or some other class)
The method implementation is chosen based on the execution-time type of the object. That's a large part of the point of it. Anyone can use:
public void Foo(Base b)
{
    b.VirtualMethod();
}
... and not need to know or care what the execution type is, because polymorphism will take care of it.
I know i can call the Base's virtual method from the derived by calling base.VirtualMethod() but can I call it from outside?
No (at least, not without some horribly hackery to call the virtual method non-virtually), and that's a deliberate part of encapsulation. The overriding implementation has effectively replaced the original implementation for that object.
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