A sweet-smelling compound $\left(\mathrm{x}\right)$ with molecular formula ${\mathrm{C}}_8{\mathrm{H}}_{16}{\mathrm{O}}_2$ on reaction with an excess of ${\mathrm{CH}}_3\mathrm{MgBr}$ followed by acidification gives a single organic product $\left(\mathrm{y}\right)$, the structure of $\left(\mathrm{y}\right)$ can be:

The product of the following reaction is:

$\mathrm{PhCH}=\mathrm{CHCH}=\underset{\left(\text{ii}\right){\mathrm{H}}_3{\mathrm{O}}^{-}}{\overset{{\text{(i) LiAlH }}_{\text{4}}}{\to }}$

$\mathrm{X}$ can be:

 $\stackrel{{\mathrm{H}}_3{\mathrm{O}}^{\oplus }}{\to }\left(\mathrm{A}\right)+\mathrm{E}\left(\mathrm{gas}\right)\underset{2.{\mathrm{H}}_2\mathrm{O}}{\overset{1.{\mathrm{LiAlH}}_4}{\to }}\left(\mathrm{B}\right)\stackrel{{\mathrm{KMnO}}_4/{\mathrm{H}}^{\oplus }}{\to }\left(\mathrm{C}\right)$

Select correct options, for identical pairs:

An organic compound $\left(\mathrm{P}\right)$ with molecular formula ${\mathrm{C}}_5{\mathrm{H}}_8{\mathrm{O}}_4$ is stable to heat but hydrolyse to $\left(\mathrm{Q}\right)$ and $\mathrm{MeOH}$ by $\mathrm{NaOH}$ followed by acidification. $\left(\mathrm{Q}\right)$ on strong heating gives $\left(\mathrm{R}\right)$ which with red $\mathrm{P}/\mathrm{HI}$ gives ethane. The compound $\left(\mathrm{P}\right)$ is: