Step 1: Analyse Statement–I.
In aqueous solution, glucose predominantly exists in the pyranose (six-membered ring) form.
In free glucose, the anomeric carbon (C-1) contains a free hydroxyl (\(-OH\)) group, which is responsible for its reducing nature.
\[
\Rightarrow \text{Statement–I is true.}
\]
Step 2: Analyse Statement–II.
Sucrose is a disaccharide formed by:
\[
\alpha\text{-D-glucopyranose} + \beta\text{-D-fructofuranose}
\]
Thus:
Glucose unit is in pyranose form
Fructose unit is in furanose form
\[
\Rightarrow \text{Statement–II is also true.}
\]
Step 3: Conclude.
Since both statements are correct:
\[
\boxed{\text{Both Statement–I and Statement–II are true}}
\]