Compounds $$\mathrm{A}$$ and $$\mathrm{B}$$, having the same molecular formula $$(\mathrm{C}_4 \mathrm{H}_8 \mathrm{O})$$, react separately with $$\mathrm{CH}_3 \mathrm{MgBr}$$, followed by reaction with dil. $$\mathrm{HCl}$$ to form compounds $$\mathrm{X}$$ and $$\mathrm{Y}$$ respectively. Compound $$\mathrm{Y}$$ undergoes acidic dehydration in presence of Conc. $$\mathrm{H}_2 \mathrm{SO}_4$$ much more readily than $$\mathrm{X}$$. Compound $$\mathrm{Y}$$ also reacts with Lucas reagent, much more readily than $$\mathrm{X}$$, with appearance of turbidity. Identify $$\mathrm{X}$$ and $$\mathrm{Y}$$.

An organic compound $$[\mathrm{A}]\left(\mathrm{C}_5 \mathrm{H}_{12} \mathrm{O}\right)$$, on reaction with conc. $$\mathrm{H}_2 \mathrm{SO}_4$$ at $$443 \mathrm{~K}$$ gives $$[\mathrm{B}]$$ as one of the products. Compound [B] undergoes further reaction with $$\mathrm{O}_3$$ and $$\mathrm{Zn} / \mathrm{H}_2 \mathrm{O}$$ to give Propanone and Ethanal as products. Identify compound [A]

Match the compounds given in column I with the corresponding most stable Carbocations formed by each, as given in Column II, when they undergo acidic dehydration in presence of Conc. $$\mathrm{H}_2 \mathrm{SO}_4$$.