Hi,

At the time of applying to the NEET exam your name should be as according to your Secondary School Examination certificate.

Ideally your name in the admit card should be similar with that of the identity proof you provide. It depend on the person checking your identity proof that will he consider it valid or not.  So According to me this should not be a problem for you in the examination.

However to have on a safer side you must take any other identity document with your adhar card mentioned below so that if there occur any problem with Adhar you can show him the other identity proof.

According to nta -

You have to take any one of the authorized photo IDs the condition is it must be original and valid and like PAN card/Driving License/Voter ID/Passport/Aadhaar Card /Ration Card/Class XII Roll number issued by the Board/any other valid photo ID issued by the Government.

So instead of Adhar card you can also take any of the above mentioned document to your identity verification. for example if you have class 12th hall ticket you can take it woth you.

Hope it helps.