Given below are two statements:
Statement $I$: Sucrose is dextrorotatory. However, sucrose upon hydrolysis gives a solution having a mixture of products. This solution shows laevorotation.
Statement $II$: Hydrolysis of sucrose gives glucose and fructose. Since the laevorotation of glucose is more than the dextrorotation of fructose, the resulting solution becomes laevorotatory.
In the light of the above statements, choose the correct answer from the options given below.

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