Ketones react with $Mg-Hg$ followed by treatment with water to give:

Which of the following compounds gives the $2,4-DNP$ test?

The products $(A)$ and $(B)$ are formed by the following reaction sequence:
$1$. $\text{NH}_2\text{OH}$
$2$. $\text{H}^+, \Delta$
$3$. $\text{LiAlH}_4$
Identify the products $(A)$ and $(B)$.

The product of the given reaction is:

Compound $(A)$,$C_6H_{12}O_3$,when treated with $I_2$ in aqueous sodium hydroxide gives a yellow precipitate. When $(A)$ is treated with Tollens' reagent,no reaction occurs. When $(A)$ is hydrolysed and then treated with Tollens' reagent,a silver mirror is formed in the test tube. Compound $(A)$ will be

$CH_3CO_2Et + (CH_2)_5(MgBr)_2 \xrightarrow[(2) H^{+}]{(1)} \mathop {C_7H_{14}O}\limits_{(A)}$ ; compound $(A)$ will be