1. Two rabbits and a gerbil (lives, live) in big cages in our classroom.

2.Either my brother or my sister (is, are) waiting for me.
3.Neither a plum nor a pear (is, are) a citrus fruit.
4.Either an orange or a grapefruit (is, are) good for dessert.

1.lives
2.is
3.is
4.is

Can you please tell me if these are correct?

8 answers

Those are correct.
Thank you very much.
You're very welcome.
If I have a sentence with plural subject and singular subject joined by nor does the verb agree with the subject nearer the verb? The sentence starts with neither.

Neither the harsh winds nor rain (affect, affects) this tree.

affects

Winds is plural but is rain considered plural also?
The verb is always singular with the "either-or" construction.

Your verb, "affects," is correct because it's singular.
http://grammar.ccc.commnet.edu/grammar/sv_agr.htm

Read #5.
Neither my cousins nor my aunt (wants, want) the salad.

So would the answer to this one be wants?
Right.