But-$2$-ene undergoes reaction with cold, dilute acidified $\text{KMnO}_4$ to form product X. But-$2$-ene reacts with an excess of hot, concentrated acidified $\text{KMnO}_4$ to form product Y. Which statement concerning X and Y is correct?
- AOnly one of X and Y reacts with $2,4$-dinitrophenylhydrazine.
- BX and Y both react with sodium hydroxide.
- CX and Y both react with sodium metal.
- DY reacts with $\text{LiAlH}_4$ to give X.