With which of the following substances does $CH_2N_2$ (diazomethane) react differently?

The product obtained by the reaction of $CH_3MgBr$ with $C_2H_5OH$ is .......

The reactions which produce alcohol as the product are:
$A$. $CH_{4} + O_{2} \xrightarrow{Mo_{2}O_{3}}$
$B$. $2CH_{3}CH_{3} + 3O_{2} \xrightarrow[\Delta]{(CH_{3}COO)_{2}Mn}$
$C$. $(CH_{3})_{3}CH \xrightarrow{KMnO_{4}}$
$D$. $2CH_{4} + O_{2} \xrightarrow{Cu/523 \ K/100 \ atm.}$
$E$. $CH_{3}CH=CHCH_{3} \xrightarrow{KMnO_{4}/H^{+}}$
Choose the correct answer from the options given below:

The provided image shows a chemical reaction: $R' - X \xrightarrow{Na / \text{ether}} ?$. This is the Wurtz reaction. Identify the product formed in this reaction.

Hexane yields different products under different conditions. Provide three such reactions.

The octane number of $2, 2, 3-$trimethylbutane is considered to be ............ .