(a)
Permutit or zeolite is the aluminosilicate of sodium. It is used to remove hardness of water. It converts insoluble salts of $Ca^{2 +}$ and $Mg^{2 +}$ into soluble zeolites. It exchange these ions with $Na^{+}$ and water becomes soft.
Thus, exhausted permutit does not contain $Na^{+}$ ions.