Ester and acetamide are distinguished by

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 $(A)$?

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 $NaHCO_3$

Match Column-$I$ with Column-$II$ based on the $pK_a$ values of the given carboxylic acids:

Column-$I$	Column-$II$
$(A)$ $CF_3COOH$	$(i)$ $3.41$
$(B)$ Benzoic acid	$(ii)$ $4.76$
$(C)$ $CH_3COOH$	$(iii)$ $0.23$
$(D)$ $4$-nitrobenzoic acid	$(iv)$ $4.20$

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

If $(\pm)$ $2$-methylbutanoic acid is esterified by reaction with $(\pm)$ $2$-butanol,how many optically active compounds will be present in the final equilibrium reaction mixture?