The question refers to compounds (I), (II), (III), (IV), but their structures/names are not visible in the prompt. So the key information needed to determine which compound does not give Tollens’ test is missing.

1. Principle of Tollens’ test

Tollens’ reagent gives a silver mirror with compounds that can reduce $[Ag(NH_3)_2]^+$ to metallic silver.

Typical compounds that do give Tollens’ test:

1. Aldehydes
2. Formic acid and its derivatives
3. $\alpha$-hydroxy ketones (due to enediol formation)

Compounds that generally do not give Tollens’ test:

1. Ordinary ketones
2. Most carboxylic acids except formic acid
3. Many other non-reducing carbonyl compounds

2. What can be concluded from the stored answer?

The stored correct answer is C: Only (II). That means, according to the intended question, compound (II) is the only one that does not form a silver mirror, while (I), (III), and (IV) do.

This is chemically plausible only if:

• $(I), (III), (IV)$ are aldehydes / formic acid type / $\alpha$-hydroxy ketones, and
• $(II)$ is a normal ketone or another non-reducing compound.

3. Limitation

Since the actual identities of $(I)$, $(II)$, $(III)$ and $(IV)$ are absent, I cannot independently verify the answer from first principles.

4. Final answer

Based on the stored correct answer and in the absence of the compound structures, the answer is:

$\boxed{\text{C: Only (II)}}$