Consider the following reaction. The structure of the main product will be

Given below are the four isomeric compounds $(P, Q, R, S)$. Identify the correct statements from below.
$A$. $Q, R$ and $S$ will give a precipitate with $2,4-DNP$.
$B$. $P$ and $Q$ will give a positive Bayer's test.
$C$. $Q$ and $R$ will give a sooty flame.
$D$. $R$ and $S$ will give a yellow precipitate with $I_2/NaOH$.
$E$. $Q$ alone will deposit silver with Tollen's reagent.
Choose the correct option.

Product $(C)$ of the above reaction is

Product $(A)$ of the reaction is

In the reaction scheme shown below,$Q$,$R$,and $S$ are the major products. Identify the correct structure of the products from the given options:
$(P)$ + Succinic anhydride $\xrightarrow{AlCl_3}$ $Q$
$Q$ $\xrightarrow[H_3PO_4]{Zn-Hg/HCl}$ $R$
$R$ $\xrightarrow[(ii) H_3O^+]{(i) CH_3MgBr, (iii) H_2SO_4/\Delta}$ $S$
$(A)$ $S$ is [Structure $A$]
$(B)$ $Q$ is [Structure $B$]
$(C)$ $R$ is [Structure $C$]
$(D)$ $S$ is [Structure $D$]

Which statement about the aldol condensation is correct?