Step 1: Read the reaction goal.
An alkyl halide R-X is being turned into a primary amine $\text{R-NH}_2$; we must name reagent A.
Step 2: Recall how primary amines form from halides.
Treating an alkyl halide with excess ammonia ($\text{NH}_3$) gives a primary amine by nucleophilic substitution - this is ammonolysis (Hofmann's method).
Step 3: Trace the mechanism.
The lone pair on $\text{NH}_3$ attacks the carbon bearing the halogen, displacing $\text{X}^-$: $\text{R-X} + \text{NH}_3 \rightarrow \text{R-NH}_3^+\text{X}^- \xrightarrow{-\text{HX}} \text{R-NH}_2$.
Step 4: Rule out RNH$_2$.
A primary amine as reagent would substitute again to give a secondary amine, not a fresh primary amine.
Step 5: Rule out water and methanol.
$\text{H}_2\text{O}$ would give an alcohol R-OH, and $\text{CH}_3\text{OH}$ would give an ether $\text{R-O-CH}_3$ - neither gives an amine.
Step 6: Pick the reagent.
Only ammonia produces the primary amine, so A is $\text{NH}_3$ - option (1).
\[ \boxed{\text{Reagent A} = \text{NH}_3} \]