Which of the following is the correct order of decarboxylation of $\beta$-keto carboxylate anion?

Considering the reaction sequence given below,the correct statement$(s)$ is(are):
$A$. $P$ can be reduced to a primary alcohol using $NaBH_4$.
$B$. Treating $P$ with conc. $NH_4OH$ solution followed by acidification gives $Q$.
$C$. Treating $Q$ with a solution of $NaNO_2$ in aq. $HCl$ liberates $N_2$.
$D$. $P$ is more acidic than $CH_3CH_2COOH$.

With reference to the scheme given,which of the given statement$(s)$ about $T$,$U$,$V$ and $W$ is (are) correct?
$A$. $T$ is soluble in hot aqueous $NaOH$
$B$. $U$ is optically active
$C$. Molecular formula of $W$ is $C_{10}H_{18}O_4$
$D$. $V$ gives effervescence on treatment with aqueous $NaHCO_3$

The major product of the following reaction sequence is

The product $(X)$ of the reaction is:

$A$ $\xrightarrow[\text{(ii) } H_3O^{+}]{\text{(i) } NaOH} B$ $\xrightarrow[\text{(ii) } H_2SO_4, \Delta]{\text{(i) } EtOH} C$
'$A$' shows positive Lassaigne's test for $N$ and its molar mass is $121$.
'$B$' gives effervescence with aq. $NaHCO_3$.
'$C$' gives fruity smell.
Identify $A, B$ and $C$ from the following.