The source book printed C; on checking, A is correct — see the explanation.
Both OH groups are drawn on wedges in the zigzag. CIP gives C-3 = R and C-4 = R, so this is the chiral (dl) diol, not meso. Corey–Winter syn-elimination of a dl-diol gives the E-alkene: (E)-hex-3-ene + CO₂ + S=P(OMe)₃ = (a), which matches the printed key A.
Explanation
Assign the diol: in the zigzag drawing both OH groups are on wedges. CIP gives C-3 = R and C-4 = R, so this is the chiral (3R,4R)-hexane-3,4-diol, not the meso isomer (meso would have one wedge and one dash).
Corey–Winter olefination: 1,1′-thiocarbonyldiimidazole converts the diol into a cyclic thionocarbonate. P(OMe)₃ removes the sulfur (as S=P(OMe)₃), and the resulting carbene/ylide fragments by a concerted syn-elimination that releases CO₂.
Syn-elimination is stereospecific: a dl (R,R) diol gives the trans alkene, and a meso diol would give the cis alkene. A = (E)-hex-3-ene; byproducts B = CO₂ and S=P(OMe)₃. Answer: (a).
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