Concept:
Lower aliphatic amines are soluble in water because they form hydrogen bonds with water molecules. As the alkyl chain length increases, the hydrophobic character increases and solubility decreases.
Step 1: Analyze Statement-I.
Aliphatic amines can form hydrogen bonds with water.
However, as molecular mass increases, the non-polar alkyl part becomes larger and dominates over the polar amino group.
Therefore, solubility decreases with increase in molecular mass.
\[\begin{aligned}
\text{Statement-I is Correct}
\end{aligned}\]
Step 2: Analyze Statement-II.
The alkyl group is hydrophobic in nature.
As its size increases, the hydrophobic character increases and the molecule becomes less soluble in water.
Hence higher amines become insoluble in water.
\[\begin{aligned}
\text{Statement-II is Correct}
\end{aligned}\]
Step 3: Check whether Statement-II explains Statement-I.
Statement-II gives the exact reason for the decrease in solubility mentioned in Statement-I.
\[\begin{aligned}
\boxed{\text{Both statements are correct and Statement-II justifies Statement-I}}
\end{aligned}\]
Hence, option \(\mathbf{(A)}\) is correct.