Given below are two statements:
Statement-$I$ : Compound $(X)$, shown below, dissolves in $NaHCO_3$ solution and has two chiral carbon atoms.
Statement-$II$ : Compound $(Y)$, shown below, has two carbons with $sp^3$ hybridization, one carbon with $sp^2$ and one carbon with $sp$ hybridization.
In the light of the above statements, choose the correct answer from the options given below:

• A
  Statement $I$ is true but Statement $II$ is false
• B
  Statement $I$ is false but Statement $II$ is true
• C
  Both Statement $I$ and Statement $II$ are true
• D
  Both Statement $I$ and Statement $II$ are false