Despite having an aldehyde group, glucose does not give the 2,4-DNP test, Schiff's test, and it does not form the hydrogensulphite addition product with $\text{NaHSO}_3$. This anomalous behaviour is because glucose exists primarily in its cyclic hemiacetal form, rendering the free aldehyde group unavailable for these specific reactions. However, it does react with Tollen's reagent, $\text{HCN}$, and $\text{NH}_2\text{OH}$. Therefore, the reagents it does not react with are Schiff's reagent (B) and $\text{NaHSO}_3$ (E).