Choose the response that matches the correct functional group classification with the following group of structural formulas.

An organic acid $P$ $(C_{11}H_{12}O_2)$ can easily be oxidized to a dibasic acid which reacts with ethylene glycol to produce a polymer,dacron. Upon ozonolysis,$P$ gives an aliphatic ketone as one of the products. $P$ undergoes the following reaction sequences to furnish $R$ via $Q$. The compound $P$ also undergoes another set of reactions to produce $S$.
$(1)$ The compound $R$ is
$(2)$ The compound $S$ is
Give the answer for questions $(1)$ and $(2)$.

Maximum enol content is in

An ester $(A)$ with molecular formula $C_9H_{10}O_2$ is reacted with an excess of $CH_3MgBr$. The resulting product is treated with concentrated $H_2SO_4$ to form an olefin $(B)$. Ozonolysis of $(B)$ yields a ketone with the formula $C_8H_8O$. What is the structure of $(A)$?

Find the correct match for the acid given in Column-$I$ with its formula in Column-$II$ and its $IUPAC$ name in Column-$III$.

Column-$I$ (Acid)	Column-$II$ (Formula) and Column-$III$ ($IUPAC$ Name)
$(A)$ Adipic acid	$(ii)$ $HOOC(CH_2)_4COOH$ ; $(y)$ Hexanedioic acid
$(B)$ Carballylic acid	$(iii)$ $HOOC-CH_2-CH(COOH)-CH_2-COOH$ ; $(n)$ Propane-$1,2,3$-tricarboxylic acid
$(C)$ Phthalic acid	$(i)$ $1,2-C_6H_4(COOH)_2$ ; $(x)$ Benzene-$1,2$-dicarboxylic acid
$(D)$ Glutaric acid	$(iv)$ $HOOC(CH_2)_3COOH$ ; $(m)$ Pentanedioic acid

What are $\underline{A}, \underline{B}, \underline{C}$ in the following reactions?
$(I)$ $(CH_3 CO_2)_2 Ca \stackrel{\Delta}{\longrightarrow} \underline{A}$
$(II)$ $CH_3 CO_2 H \underset{\text{Red P}}{\stackrel{HI}{\longrightarrow}} \underline{B}$
$(III)$ $2 CH_3 CO_2 H \stackrel{P_4 O_{10}}{\longrightarrow} \underline{C}$
$\underline{A} \quad \underline{B} \quad \underline{C}$