The reaction of propene with $HOCl$ proceeds via the addition of which of the following in the first step?

The product $(A)$ of the above reaction is:

An alkene $A$ (molecular formula $C_{5}H_{10}$) on ozonolysis gives a mixture of two compounds $B$ and $C$. Compound $B$ gives a positive Fehling's test and also forms iodoform on treatment with $I_{2}$ and $NaOH$. Compound $C$ does not give Fehling's test but forms iodoform. Identify the compounds $A, B$ and $C$. Write the reaction for ozonolysis and the formation of iodoform from $B$ and $C$.

An alkene $X$ on ozonolysis gives a mixture of simplest ketone $(Y)$ and $3-$Pentanone. The $IUPAC$ name of the alkene $X$ is

Propanal and pentan-$3$-one are the ozonolysis products of an alkene. What is the structural formula of the alkene?

What are the steps involved in the synthesis of glycerol from propene?