When one teaches the amino acids in introductory biochemistry classes, one often groups the side chains R into categories; everyone recognizes that the categories are somewhat arbitrary, but they are still useful. A commonly used textbook provides five categories of R groups: nonpolar aliphatic (valine), non polar aromatic (phenylalanine), nonionizing but polar (asparagine), neutral acids (glutamate), and cationic acids (lysine). I put an example of each one in parenthesis for convenience. It is useful to classify the side chains, because in a polypeptide, the charges on the ammonium group and the carboxylate group of the free amino acids are all lost.
The OP's question sounds like a homework problem that is teaching by means of a paradox, which Borek solved. The IEP (isoelectric point, pI) is another matter. Amino acids are not uniformly soluble across a range of pH; however, I suspect that the question probably was not written with the isoelectric point in mind.