Separate the eggs into whites and yolks. Beat the egg whites into stiff peaks.
Thoroughly beat the yolks with the sugar, add the oil and baking powder, then gradually fold in (by hand) the beaten egg whites.
If using a single kind of pudding, simply stir the powder into the batter.
Divide the mixture into three bowls and add a different pudding powder to each. Then pour them one after another into the pan and bake.
A tried-and-true recipe for a juicy flourless bundt cake that has been in our family for over 5 generations, it is fabulous and never deflates after baking.
Note: We use instant pudding, i.e., the powder instead of flour