Paragraph: The reaction of compound P with CH_ 3 MgBr (excess) in...

Paragraph: The reaction of compound $\mathbf{P}$ with $\mathrm{CH}_{3} \mathrm{MgBr}$ (excess) in \left(\mathrm{C}_{2} \mathrm{H}_{5}\right)_{2} \mathrm{O}$followed by addition of$\mathrm{H}_{2} \mathrm{O}$gives$\mathbf{Q}$. The compound$\mathbf{Q}$on treatment with$\mathrm{H}_{2} \mathrm{SO}_{4}$at$0^{\circ} \mathrm{C}$gives$\mathbf{R}$. The reaction of$\mathbf{R}$with$\mathrm{CH}_{3} \mathrm{COCl}$in the presence of anhydrous$\mathrm{AlCl}_{3} in \mathrm{CH}_{2} \mathrm{Cl}_{2}$followed by treatment with$\mathrm{H}_{2} \mathrm{O}$produces compound$\mathbf{S}$. [Et in compound$\mathbf{P}$is ethyl group] <img src="https://cdn-question-pool.Quantrex.app/pyq/jee_advanced/jk1i4vWEmLmfVlxObEqEiG6x29iyUalyFdb8n2ulsrI.original.fullsize.png"><br> <br> <strong> Question: </strong> The reactions,$\mathbf{Q} to \mathbf{R} and \mathbf{R} to \mathbf{S}, are