Step 1: Write the substrate.
1-chlorobutane is $CH_3CH_2CH_2CH_2Cl$, a primary alkyl halide.
Step 2: Recall the role of aqueous KOH.
Aqueous KOH provides hydroxide ions in water and favours nucleophilic substitution, where $OH^-$ replaces the chlorine.
Step 3: Find product P.
\[ CH_3CH_2CH_2CH_2Cl + KOH(aq) \rightarrow CH_3CH_2CH_2CH_2OH + KCl \] so $P$ is butan-1-ol.
Step 4: Recall the role of alcoholic KOH.
Alcoholic KOH provides a stronger base and favours elimination, removing $HCl$ to create a carbon to carbon double bond.
Step 5: Find product Q.
\[ CH_3CH_2CH_2CH_2Cl + KOH(alc) \rightarrow CH_3CH_2CH=CH_2 + KCl + H_2O \] so $Q$ is but-1-ene.
Step 6: State both products.
Therefore $P$ is butan-1-ol and $Q$ is but-1-ene, matching option 4.
\[ \boxed{P=\text{Butan-1-ol},\ Q=\text{But-1-ene}} \]