Step 1: Understand the test involved.
Hydroxylamine \(H_2N-OH\) reacts only with a free aldehyde \((-CHO)\) or keto group to form an oxime. If a compound does not react, it has no free carbonyl group.
Step 2: Check the Assertion.
Glucose pentaacetate is made by acetylating all five \(-OH\) groups while glucose is in its cyclic form. In this cyclic acetylated form the would-be aldehyde carbon is locked as an acetal, so there is no free \(-CHO\). Hence it does not react with \(H_2N-OH\). The Assertion is TRUE.
Step 3: Check the Reason.
The Reason says this indicates the presence of a free \(-CHO\) group. But not reacting actually shows the ABSENCE of a free \(-CHO\) group. So the Reason is FALSE.
Step 4: Match the statuses.
Assertion is true and Reason is false.
Step 5: Conclude.
The correct option is that Assertion is true but Reason is false, which is option 3.
\[ \boxed{\text{Assertion true, Reason false}} \]