Choose the best sequence of reactions for the transformation given. Semicolons indicate separate reaction steps to be used in the order shown.

Arrange the following compounds in increasing order of their property as indicated:
$(i)$ Acetaldehyde,Acetone,Di-tert-butyl ketone,Methyl tert-butyl ketone (reactivity towards $HCN$)
$(ii)$ $CH_3CH_2CH(Br)COOH$,$CH_3CH(Br)CH_2COOH$,$(CH_3)_2CHCOOH$,$CH_3CH_2CH_2COOH$ (acid strength)
$(iii)$ Benzoic acid,$4$-Nitrobenzoic acid,$3,4$-Dinitrobenzoic acid,$4$-Methoxybenzoic acid (acid strength)

Which of the following pairs of compounds can be differentiated by $NaHCO_3$ as well as by $NaOH$?

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

Column-$I$ (Reaction)	Column-$II$ (Name)
$A$. $RCH_2COOH \rightarrow[H_2O]{X_2/P} RCH(X)COOH$	$i$. Decarboxylation
$B$. $RCOONa \rightarrow[NaOH, CaO, \Delta]{\text{soda lime}} RH$	$ii$. Grignard reaction
$C$. $RCOOH + R'OH \leftrightarrow{H^{+}} RCOOR' + H_2O$	$iii$. Hell-Volhard-Zelinsky reaction
$D$. $RMgX + R'CHO \rightarrow{H_3O^{+}} RCH(OH)R'$	$iv$. Esterification

Which of the following sets is in the correct order regarding the property mentioned against them?

Sets	Property
$I$. $NCCH_2COOH > FCH_2COOH > H_3CCH_2COOH$	Acidity
$II$. $CH_3CH_2CHO > PhCOCH_3 > PhCHO$	Reactivity
$III$. $H_3COCH_2CH_3 < H_3CCH_2CHO < H_3CCH_2CH_2OH$	Boiling points

What will be $X$ and $Y$ in the following reactions?