ilyana777 Wrote:They each are great tennis players. - the sentence is ok.
They each have his own style. - this is my example, and if there is no mistake in the official problem, it must be ok too. "Each" following the subject has no bearing on the verb form. However, there can be a singular pronoun referring to "each" in the sentence - his.
As a professional writer and editor of the English language, I can tell you without hesitation that "They each have his own style" is wrong.
I'm also troubled by the use of "its" in the original, but, it's the official answer, so that's that.
If GMAC considers this construction acceptable, then the indirectness of the pronoun -- i.e., the fact that it appears in a modifier and not in the main part of the sentence --
must be what's responsible. I.e.,
The thirteen colonies each had its own charter would be wrong.
The best advice I can give you is "Ignore this issue here". It won't be a factor on your official exam, and may even complicate your consideration of other pronoun issues.