How do $\alpha-D-$glucose and $\beta-D-$glucose differ from each other with respect to the $C-1$ carbon?

Glucose and gluconic acid on oxidation with dilute nitric acid $(HNO_3)$ form saccharic acid. This reaction confirms that glucose contains:

Glucose $\xrightarrow{HCN} A$ $\xrightarrow{Hydrolysis} B$ $\xrightarrow{HI, \Delta} C$. What is the final product $C$?

The functional groups involved in the conversion of glucose to gluconic acid and gluconic acid to saccharic acid respectively are

Given below are two statements. One is labelled as Assertion $A$ and the other is labelled as Reason $R$.
Assertion $A$: Amylose is insoluble in water.
Reason $R$: Amylose is a long linear molecule with more than $200$ glucose units.
In the light of the above statements,choose the correct answer from the options given below.

Which reagent forms a crystalline osazone derivative upon reaction with glucose?