The major product of the following reaction is:

Compound $A$ $(C_3H_6O)$ undergoes the following reactions to form $B$ and $C$. Identify $A, B$ and $C$.

The products formed in the following reaction,$A$ and $B$ are

$A$ molecule $(X)$ with the following structure is hydrolyzed under mild acidic conditions to produce $(Y)$ and $(Z)$. Identify the correct statements about $(Y)$ and $(Z)$ from the following list:
$(A)$ Both $(Y)$ and $(Z)$ have the same molar mass.
$(B)$ Both $(Y)$ and $(Z)$ give a positive Tollens' test.
$(C)$ Both $(Y)$ and $(Z)$ give a positive iodoform test.
$(D)$ Both $(Y)$ and $(Z)$ react with $2,4$-dinitrophenylhydrazine to form a hydrazone derivative.

In the reaction sequence,
the major products $X$ and $Y$ respectively are

The reaction of $A$ to give $B$ and $C$ as shown in the reaction scheme is an example of:
$CH_2=CH_2$ $\xrightarrow[2. Zn/H_2O]{1. O_3} A$ $\xrightarrow{Conc. NaOH} B + C$
(Where $B$ is an alcohol and $C$ is a sodium salt of a carboxylic acid)