Are the same problems repeated in puzzle rush?

I am not sure if I am seeing very similar puzzles more than once in puzzle rush or if it is exactly the same puzzles. I know that you can have the same problem more than once in rated puzzles because in this case it is easier to go back and check. It is also easier to remember that you have done the same puzzle when you spend more time on it.

Is it the case case with puzzle rush that you can have the same puzzle more than once? What about puzzle battle? 

Yes they are! Supposedly those you get wrong will be repeated faster than the others but all puzzles may be repeated. Don't worry about it, GMs repeat openings all the time!

I see. Then it probably pays off to review when you fail a problem and you probably get better and better high scores. Recently I have been refusing to check solutions when I get something wrong because I thought: "you don't get to check solutions in a game".