Tollen's reagent oxidises aldehydes (and in carbohydrate chemistry, the open-chain aldehyde form that exists in equilibrium with cyclic hemiacetals).

A cyclic sugar with a free anomeric —OH is a hemiacetal, which opens to expose the aldehyde — it gives a positive Tollen's test (silver mirror).

A cyclic sugar with the anomeric —OH replaced by —OR is a glycoside / acetal. It cannot ring-open under neutral or basic conditions, so it does not expose an aldehyde and gives a negative Tollen's test.

Structures (B) and (C) are glycosides → no reaction. Structures (A) and (D) are hemiacetals → positive test.

$\therefore$ B and C.