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(A) The reaction of compound $(A)$ with excess $H_2$ in the presence of $Pt$ gives decalin (a saturated bicyclic compound),indicating $(A)$ is a bicyc

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(A) The reaction of compound $(A)$ with excess $H_2$ in the presence of $Pt$ gives decalin (a saturated bicyclic compound),indicating $(A)$ is a bicyclic diene.Oxidative cleavage of $(A)$ with $KMnO_4 / \Delta$ yields cyclohexane$-1,2-$dicarboxylic acid and oxalic acid $(HOOC-COOH)$.This cleavage pattern is characteristic of $1,2,3,4,5,8-hexahydronaphthalene$ (also known as $1,4,5,8-tetrahydronaphthalene$ or similar isomers depending on the specific double bond positions).Based on the provided options,the structure that fits the hydrogenation and oxidative cleavage products is the one with double bonds at the $1$ and $4$ positions of the decalin ring system (specifically $1,4,5,8-tetrahydronaphthalene$).Thus,the correct structure is $(A)$.

Compound $(A)$ is

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