The correct options are
A It is used in designing of ships and submarines.
B It is used in lactometers to determine the purity of milk.
C It is used in hydrometers to determine density of fluids.
Archimedes' principle is used in designing of ships and submarines. They are to be made of a specific dimensions so that in spite of the large value of density of steel, the ship would float in water.
Lactometers also work on Archimedes' principle as adulteration causes a change of density which can easily be identified using this device.
Archimedes' principle provides the principle of working of a hydrometer, which is used to determine the density of fluids using water.
Hydraulic lifts work on the principle of Pascal's law.