When $methyl$ $iodide$ is heated with $ammonia$,the product obtained is

Product $A$ is

The major products $P$ and $Q$ formed in the following reactions of benzonitrile are

The structure of the product will be:

The relative rate of reaction of the following amines with methyl iodide is:

Three isomers $A$,$B$,and $C$ (molecular formula $C_8H_{11}N$) give the following results:
$A$ and $C$ $\xrightarrow{\text{Diazotization}}$ $P + Q$ $\xrightarrow[(ii) \text{ oxidation } (KMnO_4 + H^{+})]{(i) \text{ Hydrolysis}}$ $R$ (product of $A$) and $S$ (product of $C$)
Identify $A$,$B$,and $C$ from the given options.