From the following, the correct statements about polysaccharides are:
$(I)$ Starch is a polymer of $\alpha-D(+)$-glucose.
$(II)$ Amylose component of starch is not soluble in water.
$(III)$ Amylose is a branched chain polymer of $\alpha-D(+)$-glucose.
$(IV)$ Cellulose is a straight chain polymer of $\beta-D(+)$-glucose units.

• A
  $I$ & $IV$ only
• B
  $II$ & $III$ only
• C
  $II$ & $IV$ only
• D
  $I$ & $III$ only