The octane number is associated with which petroleum product?

Which of the following compounds was the starting material for the oxidation shown below?

Answer the following questions:
$(i)$ Give hybridization of Carbon atoms in the following compound: $CH_3-CH=CH-CH_2-C\equiv CH$
$(ii)$ Give the number of $\sigma$ and $\pi$ bonds in the above compound.
$(iii)$ Give the $IUPAC$ name of the above compound.
$(iv)$ Draw the geometrical isomers of the above compound.
$(v)$ Why are $cis$ and $trans$ isomers not possible in alkynes?
$(vi)$ Which bond possesses more bond length between $C=C$ and $C\equiv C$?

When glycerol is heated with $KHSO_4$,it gives:

The major product of the given reaction is:

Predict the product $(A)$ of the following reaction: