A compound $\mathrm{X}\left({\mathrm{C}}_5{\mathrm{H}}_{12}{\mathrm{O}}_4\right)$ upon treatment with ${\mathrm{CH}}_3\mathrm{MgX}$ gives $4$ moles of methane. Identify the structure of $\left(\mathrm{X}\right)$.

The correct statement/s about the following reaction sequence is/are:

The following preparation of caprolactum from the oxime of cyclohexanone involves a rearrangement called: 

Which of the following will be the product of following reactions?

An organic compound ${\mathrm{C}}_3{\mathrm{H}}_6\mathrm{O}$ does not give a precipitate with$2 , 4-$dinitrophenyl hydrazine reagent also does not react with metallic sodium. It could be: