$$\begin{gathered} \left(\mathrm{X}\right) + {\mathrm{K}}_2{\mathrm{CO}}_3 + \mathrm{Air} \stackrel{\mathrm{Heat}}{\to } \left(\mathrm{Y}\right) \\ \left(\mathrm{Y}\right) + {\mathrm{Cl}}_2 \to \left(\mathrm{Z}\right) \mathrm{Pink} \end{gathered}$$

Which of the following is correct?

$\mathrm{X} = \mathrm{black}, {\mathrm{MnO}}_2 \mathrm{Y} = \mathrm{green} , {\mathrm{K}}_2{\mathrm{MnO}}_4 , \mathrm{Z} = {\mathrm{KMnO}}_4$

$\mathrm{X} = \mathrm{green}, {\mathrm{Cr}}_2{\mathrm{O}}_3 ,\mathrm{Y} = \mathrm{Yellow}, {\mathrm{K}}_2{\mathrm{CrO}}_4 , \mathrm{Z} = {\mathrm{K}}_2{\mathrm{Cr}}_2{\mathrm{O}}_7$

$\mathrm{X} = \mathrm{black}, {\mathrm{MnO}}_2 , \mathrm{Y} = \mathrm{Blue}, {\mathrm{K}}_2{\mathrm{CrO}}_4 , \mathrm{Z} = {\mathrm{KMnO}}_4$

$\mathrm{X} = \mathrm{black}, {\mathrm{Bi}}_2{\mathrm{O}}_3 , \mathrm{Y} = \mathrm{colourless} {\mathrm{KBiO}}_2 , \mathrm{Z} = {\mathrm{KBiO}}_3$