Concept:
D-glucose contains an aldehyde group and multiple hydroxyl groups, so it undergoes reactions characteristic of aldehydes.
Step 1: Evaluate statement I.
Glucose reacts with hydroxylamine to form oxime:
\[
\text{Glucose} + NH_2OH \rightarrow \text{Oxime}
\]
Hence, statement I is correct.
Step 2: Evaluate statement II.
Glucose does not form sodium bisulfite addition product easily because the free aldehyde concentration is very low due to cyclic hemiacetal formation.
Thus, statement II is incorrect.
Step 3: Evaluate statement III.
Glucose reacts with HCN to form cyanohydrin:
\[
RCHO + HCN \rightarrow RCH(OH)CN
\]
Hence, statement III is correct.
Step 4: Evaluate statement IV.
Bromine water oxidizes glucose into gluconic acid, not saccharic acid.
Therefore, statement IV is incorrect.
Hence, the correct statements are:
\[
\boxed{I\ \&\ III\ only}
\]