It's actually not as simple as textbooks make it out to be. When in doubt, always return to the science. (But for MCAT purposes, cysteine and tyrosine are polar). I just want to make the point that one shouldn't immediately discount a source - especially if the science is actually there.
This is actually a good resource if you're interested in the scientific rationale for assigning hydrophobicity (take a look at Table 2):
http://www.sciencedirect.com/science/article/pii/0022283682905150
By this measure, cysteine is actually more hydrophobic than alanine. So whether you consider it "polar" depends on your definition, but it's quite oily. Tyrosine doesn't like water, but if you look at the hydropathy index, it's not that averse to it. I mean, it's less averse to it than proline. This is mainly due to the oily phenyl ring of tyrosine. Again, how you define polarity will change your answer as to whether it's polar, but it only likes water a little bit.
The MCAT tends to define polar as a "large enough" dipole moment in the side chain, which is mainly limited to heteroatoms. I don't believe you'll ever have to rank amino acids in order of polarity - definitely not when the science is ambiguous. Most of the time, the questions will be based on some central property of the amino acid (e.g. specific charge, presence of hydroxyl group for phosphorylation, presence of sulfur for disulfide bonds, etc.).