Identify $B$ and $D$ in the following sequence of reactions.

What is the increasing order of reactivity of the following alkyl halides in the Williamson synthesis?
$I. \, CH_2 = CHCH_2Cl$
$II. \, CH_3CH_2CH_2Br$
$III. \, (CH_3)_3CCH_2Br$
$IV. \, CH_3CH_2CH_2Cl$

$p-$Cresol reacts with chloroform in an alkaline medium to give compound $A$,which reacts with hydrogen cyanide to form compound $Y$. Hydrolysis of $Y$ gives a chiral carboxylic acid. Identify the structure of the carboxylic acid.

Match the following:

Column-$I$: Compound / Reagent	Column-$II$: Other name / Chemical / Process
$A$. Methanol	$I$. Lucas reagent
$B$. $ZnCl_2$ / Conc. $HCl$	$II$. Baeyer's reagent
$C$. Rectified spirit	$III$. Wood spirit
$D$. Dil. $KMnO_4$	$IV$. $95 \% C_2H_5OH$
-	$V$. $75 \% C_2H_5OH$
-	$VI$. $90 \% C_3H_7OH$

The correct match is:

Column $(I)$ contains products and Column $(II)$ contains the processes to prepare them. Match the processes in Column $(II)$ with the products in Column $(I)$.

Column - $(I)$ Product	Column - $(II)$ Preparation Process
$(A)$ Butan$-1-$ol	$(i)$ Hydration of propene in the presence of dilute sulfuric acid
$(B)$ Propan$-2-$ol	$(ii)$ Reaction of propanone with methylmagnesium bromide followed by hydrolysis
$(C)$ $2-$Methylpropan$-2-$ol	$(iii)$ Hydroboration of propene followed by reaction with $(NaOH + H_2O_2)$
$(D)$ Propan$-1-$ol	$(iv)$ Catalytic reduction of butanal

$1^o, 2^o, 3^o$ alcohols are distinguished by