From a current active duty Navy recruiter, also a Nuclear Mechanic
The Navy's nuclear score is currently a 252 or higher to be considered an Alpha nuke. A score of 235-251 would be considered a Bravo nuke and would require the NAPT with a qualifying score in order to qualify for the nuclear program. These scores are derived from a combination of your ASVAB line scores. These numbers have not changed since I have been doing this job 2011-present.
Now, if you have a condition that requires you to have to take the NAPT (Bravo nuke scores, time since taking a math class, low math grades in school, etc.) then you need to score above a certain value. Until recently, that value was 55 on the NAPT. Recently there is an additional requirement that applicants who are no longer in school must score a 60 or higher in order to "pass" the NAPT. If you are currently a high school senior or in college taking Math classes, your passing score on the NAPT is still a 55.
You certainly meet the Alpha (autoqual) scores for nuke, but depending on your current college classes, you may still be required to take the NAPT. I doubt you will have any trouble with it based on your ASVAB scores. It may be a locally developed requirement to give the NAPT to all applicants who are no longer in high school, regardless of your ASVAB scores and transcripts.
I hope this helps.