It means that you can give your attempts as many times as possible till you attain the age of 25 if u belong to unreserved category. 

I am sorry to say that I don't agree with your response. I just now referred both the information bulletin of NEET 2017 and 2018. In chapter-3 of bulletin for NEET 2017, under point-1, there are 5 instructions regarding eligibility and appearance in NEET(-UG). Points 1c, and 1d clearly highlighted the restrictions on number of attempts and the way it is counted, etc. If you look at the bulletin for 2018-19, those points have been removed purposely. Therefore, shall I say that the restrictions on attempts were there till 2017 only and then abolished? When the current bulletin doesn't have a word about the restrictions on number of attempts for NEET, how could we follow something that is not given? 

Ok i checked it again. Yes the candidate can attempt the exam as many times as they wish to as far as they fulfil the basic criteria for the exam.