gistfile1.cs

class Program
{
    // What argument do you need to provide to this method so that it returns true?
    public static bool AreYouNuts<T>(T[] array)
    {
        if (array == null || array.Length == 0)
            return false;

        var local = (T[]) array.Clone();

        var x = local[0];
        var y = local.GetValue(0);

        return x.GetType() != y.GetType();
    }
}

It is a CLR rule. See Ecma-335, Partition I, 8.7.1 Assignment compatibility for signature types:
...
7. T is a zero-based rank-1 array V[], and U is IList, and V is array-element-compatible-with W.
...
[Note: in other words, array-element-compatible-with extends compatible-with but is agnostic
with respect to enumerations and integral signed-ness. end note]