Both and either or neither nor

In this game, you ____ win ____ lose. It depends on you.

• either...or
• neither...nor

_____ Sue _____ Sara will help you with your homework. They are both busy at the moment.

• Either...or
• Neither...nor

This is my offer. You _____ take it _____ leave it.

• either...or
• neither..nor

When I go to the restaurant, I eat _____ fish _____ roast chicken. These are my favorite meals.

• either...or
• neither...nor

His father believed _____ his son _____ his friend. He thought that both were lying.

• either...or
• neither...nor

_____ Charly _____ Bill will write the report. Just ask one of them.

• Either...or
• Neither...nor

_____ you return the money you had stolen ______ I'll call the police.

• Either...or
• Neither...nor

You can use _____ this computer _____ the other one. Someone must fix them first.

• either...or
• neither...nor

Which sentence is correct?

• Neither of them lives here. 
• Neither of they live here. 
• Neither Alice or Mark live here. 

Which sentence is NOT correct? 

• Both of the boys like hamburgers.
•  Both boys like hamburgers.  Incorrect
  
• Both of boys like hamburgers.