Discussion
The major products X and Y in the following reaction sequence are

Answer: A
X and Y are the pair shown in (A).
Step 1 is a Birch reductive alkylation: sodium in liquid ammonia reduces the benzamide to an enolate at the amide-bearing carbon, and allyl bromide alkylates that carbon. X is a 1-allyl-1-carboxamide cyclohexa-2,5-diene in which the methoxy group sits on one ring double bond as an enol ether.
Aqueous HCl hydrolyses the enol ether to a ketone next to the quaternary carbon. Refluxing in 1,2-dichlorobenzene then drives a [3,3]-sigmatropic (Cope) rearrangement of the 1,5-diene formed by the allyl group and the remaining ring double bond: the allyl group moves to the methyl-bearing carbon and a new C=C forms at the amide carbon, conjugated with both carbonyls. That is Y in (A).
(B) and (D) put the allyl group in the wrong place in X (on carbon or on oxygen), and (C) wrongly converts the amide to an acid, which aqueous HCl at this stage does not do.
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