Nucleophilic addition reactions are favored by the presence of electron-withdrawing groups that increase the partial positive charge on the carbonyl carbon, making it more susceptible to nucleophilic attack.
- Compound I (CH$_3$COCH$_3$) is a ketone and is less reactive due to electron-donating alkyl groups.
- Compound II (CH$_3$CH$_2$CHO) is an aldehyde and more reactive than ketones.
- Compound III (ClCH$_2$CHO) is an aldehyde with an electron-withdrawing chlorine atom, which enhances the electrophilicity of the carbonyl carbon further.
Hence, the correct order is:
\[
\text{CH}_3\text{COCH}_3<\text{CH}_3\text{CH}_2\text{CHO}<\text{ClCH}_2\text{CHO}
\]