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(D) Compound $B$ is $1,3,5$-tri(propan$-2-$ylidene)cyclohexane. This structure is formed by the reaction of $1,3,5$-trimethylcyclohexane$-1,3,5-$trica

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(D) Compound $B$ is $1,3,5$-tri(propan$-2-$ylidene)cyclohexane. This structure is formed by the reaction of $1,3,5$-trimethylcyclohexane$-1,3,5-$tricarboxylate (or a similar tri-ester) with excess $CH_3MgBr$ to form a tri-tertiary alcohol,followed by dehydration using $POCl_3$ /pyridine. Each ester group $(-COOCH_3)$ reacts with $2$ equivalents of $CH_3MgBr$ to form a tertiary alcohol $(-C(OH)(CH_3)_2)$. Dehydration of these tertiary alcohols with $POCl_3$ /pyridine yields the corresponding isopropylidene groups. Therefore,compound $A$ must be the tri-ester shown in option $D$.

Compound $A$ was treated with a large excess of $CH_3MgBr$. The resulting product was exposed to $POCl_3$ /pyridine to give compound $B$,as one of many products.
Which of the following compounds can be $A$ ?

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Compound $A$ was treated with a large excess of $CH_3MgBr$. The resulting product was exposed to $POCl_3$ /pyridine to give compound $B$,as one of many products.Which of the following compounds can be $A$ ?