Concept:
Tollens' reagent and Fehling's solution are important qualitative reagents used for distinguishing aldehydes and ketones.
Tollens' reagent contains diamminesilver(I) ion:
\[
[Ag(NH_3)_2]^+
\]
which acts as a mild oxidizing agent.
Fehling's solution contains alkaline copper(II) ions which are reduced to brick-red cuprous oxide in the presence of suitable reducing agents.
Aldehydes are generally more easily oxidized than ketones because they contain a hydrogen atom attached directly to the carbonyl carbon.
Step 1: Examine Statement-I.
Statement-I says:
\[
\text{All aldehydes and ketones give positive Tollens' test}
\]
This statement is incorrect.
Aldehydes readily reduce Tollens' reagent and produce a silver mirror.
However, ordinary ketones do not reduce Tollens' reagent.
Only a few special ketones such as \(\alpha\)-hydroxy ketones may give positive Tollens' test.
Therefore:
\[
\boxed{\text{Statement-I is false}}
\]
Step 2: Examine Statement-II.
Statement-II says:
\[
\text{Only aldehydes give positive Fehling's test}
\]
Fehling's solution is reduced by aliphatic aldehydes giving a brick-red precipitate of cuprous oxide.
Most ketones do not respond to Fehling's test.
Therefore:
\[
\boxed{\text{Statement-II is true}}
\]
Step 3: Choose the correct option.
Statement-I is false.
Statement-II is true.
Hence,
\[
\boxed{\text{Only II}}
\]
Therefore, the correct option is
\[
\boxed{(C)}
\]