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$(i)$ In pure water
$(ii)$ In presence of $0.1\ M AgNO_3$
$(iii)$ In presence of $2\ M aq.$ solution of $KCN$
$(iv)$ In presence of $ 1\ M aq$. solution of $Ca(CN)_2$
$(v)$ In presence of $2\ M aq.$ solution of $NH_3$
(Assuming $100\%$ dissociation of $AgNO_3, KCN$ and $Ca(CN)_2)$ and complex formation with $NH_3$ and $CN^-$ will take place.
$\begin{matrix}
O\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, \\
||\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, \\
C{{H}_{3}}-C-OH+C{{H}_{3}}-OH\overset{cat.}{\longleftrightarrow} \\
\end{matrix}\begin{matrix}
O\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, \\
||\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, \\
C{{H}_{3}}-C-O-C{{H}_{3}}+{{H}_{2}}O \\
\end{matrix}$
$(I)$ The radius of an anion is larger than that of the parent atom.
$(II)$ The ionization energy generally increases with increasing atomic number in a period.
$(III)$ The electronegativity of an element is the tendency of an isolated atom to attract an electron.
Which of the above statements is/are correct?