Match the Column-$I$ with Column-$II$ for the oxidation states of the central atoms.
Column-$I$ Column-$II$
$A$. $Cr_2O_7^{2-}$ $1$. $+3$
$B$. $MnO_4^{-}$ $2$. $+4$
$C$. $VO_3^{-}$ $3$. $+5$
$D$. $FeF_6^{3-}$ $4$. $+6$
$5$. $+7$

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(A-4, B-5, C-3, D-1) The correct matching is $A-4, B-5, C-3, D-1$.
$(A)$ For $Cr_2O_7^{2-}$: $2(Cr) + 7(-2) = -2 \implies 2(Cr) = +12 \implies Cr = +6$.
$(B)$ For $MnO_4^{-}$: $Mn + 4(-2) = -1 \implies Mn = +7$.
$(C)$ For $VO_3^{-}$: $V + 3(-2) = -1 \implies V = +5$.
$(D)$ For $FeF_6^{3-}$: $Fe + 6(-1) = -3 \implies Fe = +3$.

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