Consider the following statements:
Statement-$I$: Cane sugar is a disaccharide of $\alpha-D$-glucose and $\beta-D$-fructose.
Statement-$II$: Milk sugar is a disaccharide of $\beta-D$-glucose and $\beta-D$-galactose.
The correct answer is:

• A
  Both statement-$I$ and statement-$II$ are correct
• B
  Both statement-$I$ and statement-$II$ are not correct
• C
  Statement-$I$ is correct,but statement-$II$ is not correct
• D
  Statement-$I$ is not correct,but statement-$II$ is correct