Boil beet quarters for about 7 minutes. Peel and chop into large pieces. Cut the cucumber, pepper and onions into large chunks. If desired, remove a few pieces of each and finely chop for garnish.
Put in blender or food processor along with all ingredients except olive oil. Puree until smooth.
Once ingredients are pureed, as the blender is still spinning, drizzle in olive oil slowly. Refrigerate and serve cold.
Notes
If you do not have smoked paprika you can quickly smoke it yourself by putting it in a small skillet and heating until it begins to smoke. Watch carefully!!! It will only take a few minutes and will burn very quickly..