A is calcium. It reacts with water to give calcium hydroxide. B is calcium hydroxide and is used for white washing. C is calcium oxide.
The reactions are as follows:
$$Ca + 2H_2O \rightarrow Ca(OH)_2 + H_2$$
$$Ca(OH)_2 \rightarrow CaO + H_2O$$
$$CaO + H_2O \rightarrow Ca(OH)_2$$