<p>The first one is correct. “If the pairings either/or or neither/nor form part of the subject of a verb and both elements are singular, then the verb must be singular too.”</p>
<p>In what handbook did you find that his is gender neutral? His has often been used to refer to a group when gender is unknown, but that is generally considered sexist.</p>
<p>I do not know whether this mistake was intentional, but in discriminating between the singularity and plurality of “none,” one must look to the complement. Here it is “them”; so we use “are.”</p>
<p>The “clunky” his or her could be used in the examples in OP. Their is often used when speaking, but it is plural. I would change the sentences in the OP, but I assumed it was a study or test question.</p>
<p>But “none” is just as likely to imply “not any,” as it did in the context in which you used it. Thus, “none” would warrant the use of a plural verb. For instance, I do not believe that any of us would be comfortable stating, “None of the children is going with me.”</p>
<p>Correct. Going with what sounds right is not advisable as a blanket rule; but it is often helpful as a guide. Indeed, in this situation, using “are” instead of “is” is appropriate. </p>
<p>MD Mom’s contention that “none” must be singular represents a habit that is often associated with hypercorrectness and perhaps pretentiousness; it is also advised against by most style books (except for the Hacker Handbook, apparently).</p>
<p>If “either” is followed by a prepositional phrase and is used as a subject, it is always singular. For example:</p>
<p>“Either of the slugs is edible.”</p>
<p>“Either of you is my son.”</p>
<p>If, however, “either” is used as a correlative conjunction with “or” (or “nor” in the case of “neither”), the verb must agree with the noun closest to it. For example:</p>
<p>“Either the cow or the hamster is nice.”</p>
<p>“Either the cow or the dogs are nice.”</p>
<p>(These rules apply similarly to “neither.”)</p>