The product $A$ is
$4-methylcyclohexyl bromide + OH^- \xrightarrow{S_N2} A$

Match the reactions given in Column-$I$ with their names in Column-$II$:

Column-$I$ (Reactants)	Column-$II$ (Name)
$A$. $R-X + NaI \xrightarrow{\text{dry acetone}} R-I + NaX$	$i$. Electrophilic addition
$B$. $H_3C-Br + AgF \to H_3C-F + AgBr$	$ii$. Finkelstein reaction
$C$. $H_3C-CH_3 + Cl_2 \xrightarrow{hv} H_3C-CH_2Cl + HCl$	$iii$. Swarts reaction
$D$. $CH_2=CH_2 + Br_2 \to BrCH_2-CH_2Br$	$iv$. Free radical substitution

Identify the major products $(P)$ and $(Q)$ respectively for the given reaction.

Identify the products formed and comment on the optical activity of the products for the following reaction: $3$-phenylcyclopent-$2$-en-$1$-one + $H_2$ $(2-3 \ atm)$ $\xrightarrow{10\% Pd/C, \text{Ethanol}}$ ?

What are $X$ and $Y$ respectively in the following reaction sequence?
$C_3H_6$ $\xrightarrow[\text{(C}_6\text{H}_5\text{CO)}_2\text{O}_2]{\text{HBr}} X$ $\xrightarrow{\text{Na/ dry ether}} Y$

Choose the correct option:

$A$. $ROH + SOCl_2 \rightarrow$	$P$. Darzen process
$B$. $RX (Cl, Br) + NaI \rightarrow$	$Q$. Finkelstein reaction
$C$. $RX (Cl, Br) + AgF \rightarrow$	$R$. Swarts reaction
$D$. $ArX + RX + Na \rightarrow$	$S$. Wurtz-Fittig reaction