plural vs singular

[andi]

1) each students' book
each students' books
each student's book
each student's books

Which one is right?

2) individual students' book
individual students' books
individual student's book
individual student's books

Which one is right? Does "individual" follow the same rule as "each"?

3) Governor of each state
Governors of each state

Which one is right?

4) Sales Proceeds
Sale Proceeds

Which one is right?

5) All the best to everything you do
All the best with everything you do
All the best on everything you do

Which one is right?

6) If you have any questions, please feel free to reach me at XXX.
If you have any question, please feel free to reach me at XXX.

I read Sentence Correction Chapter 3 and noted that "Any" should come with singular. However, a lot of business emails ended with "If you have any questions..." Which one is correct?

[tim]

1) You cannot talk about "each students", only "each student". The proper posessive of "each student" is "each student’s". Either "book" or "books" is fine, depending on how many books each student has..

2) You can talk about an "individual student" or "individual students". In addition, any number of books is acceptable except the combination of one book with multiple students. Thus "individual students’ book" is the only unacceptable one..

3) "each state" is singular, and each state has only one governor (presumably)..

4) Either one. There can be proceeds from a single sale or from multiple sales..

5) This one is irrelevant. You are using an idiom that is not likely to be tested on the GMAT..

6) "Any questions". I suspect the rule you read involves using "any xxx" as a subject, not a direct object. I’m happy to help you further if that is not the case..

Any questions? :)