When acetone is heated with hydroxylamine,the compound formed is

$(C_2H_5O)_2CO \xrightarrow[H_3O^{+}]{CH_3MgBr(\text{excess})} A$. $A$ (alcohol) can also be obtained by:

In the reaction $CH_3CHO + HCN \to CH_3CH(OH)CN$,a chiral centre is produced. This product would be

$P \xrightarrow{H_2 / Pd-BaSO_4} Q \xrightarrow{(i) \text{ conc. } NaOH} R + S$. $R$ and $S$ form benzyl benzoate when treated with each other. Hence,$P$ is

Which is the most suitable reagent for the following conversion?
$CH_3-CH=CH-CH_2-CO-CH_3 \rightarrow CH_3-CH=CH-CH_2-COOH$

The suitable reagents $X$ and $Y$,respectively,in the following reactions are: