The incorrect statement is :

Option 1) Manganate $\Rightarrow \mathrm{MnO}_{4}^{2-}$,

Permanganate $\Rightarrow \mathrm{MnO}_{4}^{-}$

After excitation

$2 \times 2 \mathrm{p}_{\pi}-3 \mathrm{~d}_{\pi \sigma}$

$2 \times 2 \mathrm{P}_{\pi}-3 \mathrm{~d}_{\pi}$

$1 \times 2 \mathrm{P}_{\pi}-4 \mathrm{P}_{\pi}$

(2) $\mathrm{MnO}_{4}^{2-} \Rightarrow$ green

$\mathrm{MnO}_{4}^{-} \Rightarrow$ purple/violet

(3) Manganate contains 1 unpaired electron hence it is paramagnetic

where as permanganetic contains no unpaired electrons hence it is diamagnetic.

(4) Both have $\mathrm{d}^{3} \mathrm{~s}$ hybridisation hence both have tetrahedral geometry.