Number of colourless lanthanoid ions among the following is __________.

$$\mathrm{Eu}^{3+}, \mathrm{Lu}^{3+}, \mathrm{Nd}^{3+}, \mathrm{La}^{3+}, \mathrm{Sm}^{3+}$$

Among $$\mathrm{VO}_2^{+}, \mathrm{MnO}_4^{-}$$ and $$\mathrm{Cr}_2 \mathrm{O}_7^{2-}$$, the spin-only magnetic moment value of the species with least oxidising ability is __________ BM (Nearest integer).

(Given atomic member $$\mathrm{V}=23, \mathrm{Mn}=25, \mathrm{Cr}=24$$)

Among $$\mathrm{CrO}, \mathrm{Cr}_2 \mathrm{O}_3$$ and $$\mathrm{CrO}_3$$, the sum of spin-only magnetic moment values of basic and amphoteric oxides is _________ $$10^{-2} \mathrm{BM}$$ (nearest integer).

(Given atomic number of $$\mathrm{Cr}$$ is 24 )

The fusion of chromite ore with sodium carbonate in the presence of air leads to the formation of products $$\mathrm{A}$$ and $$\mathrm{B}$$ along with the evolution of $$\mathrm{CO}_2$$. The sum of spin-only magnetic moment values of A and B is _________ B.M. (Nearest integer)

[Given atomic number : $$\mathrm{C}: 6, \mathrm{Na}: 11, \mathrm{O}: 8, \mathrm{Fe}: 26, \mathrm{Cr}: 24$$]