Staiement-1: Amongst the oxo acids of halogens, $\mathrm{HOCl},\mathrm{HOBr}$ and $\mathrm{HOI}$, the $\mathrm{HOI}$ is the most acidic acid

Statement-2: The conjugate base stability is ${\mathrm{ClO}}^{-}>{\mathrm{BrO}}^{-}>{\mathrm{IO}}^{-}$

Staiement-1: Amongst the oxo acids of halogens, $\mathrm{HOCl},\mathrm{HOBr}$ and $\mathrm{HOI}$, the $\mathrm{HOI}$ is the list acidic acid because the I is not highly electronegative, most of the electron density remains in the O-H bond, making it more difficult for H to escape the molecule and making it a weaker acid.

Statement-2: The conjugate base stability is ${\mathrm{ClO}}^{-}>{\mathrm{BrO}}^{-}>{\mathrm{IO}}^{-}$

The acid is more likely to contribute a proton if the conjugate base is more stable. As a result, 

the stronger the acid, the more stable the conjugate base.

$\begin{array}{ccc}\mathrm{HOCl}& >\mathrm{HOBr}>& \mathrm{HOI}\\ {\mathrm{pK}}_{\mathrm{a}}=7.5& 8.6& 10.6\end{array}$

Stability :  ${\mathrm{ClO}}^{-}>{\mathrm{BrO}}^{-}>{\mathrm{IO}}^{-}$

Hence correct option is D